Draw a complete structure for a molecule with the molecular formula C2H3CL. • Explicitly draw all H atoms. • In cases where there is more than one answer, just draw one.

Answers

Answer 1

The molecular formula C2H3CL indicates that the molecule has 2 carbon atoms, 3 hydrogen atoms, and 1 chlorine atom.

To draw the structure, we start with the carbon atoms and connect them with a single bond. We then add the hydrogen atoms to satisfy the valency of each carbon atom. One carbon atom must have 2 hydrogen atoms attached to it, while the other carbon atom only needs one hydrogen atom.

Now we have C2H4, which is ethene. However, the presence of the chlorine atom means that one of the hydrogen atoms must be replaced with a chlorine atom. We can place the chlorine atom on either carbon atom, but let's choose the carbon atom that only has one hydrogen atom attached to it.

So the final structure is:

H   H
|   |
C=C
|   |
Cl  H

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Answer 2

One possible molecule with the molecular formula C2H3Cl is vinyl chloride (CH2=CHCl), which has two carbon atoms double-bonded to each other and single-bonded to one chlorine atom and one hydrogen atom each.

The molecular formula C2H3Cl indicates that the molecule contains two carbon atoms, three hydrogen atoms, and one chlorine atom. To draw the structure, we can start by placing the atoms in a way that satisfies the valency of each element. Carbon atoms can form up to four bonds, while hydrogen atoms can form only one bond, and chlorine atoms can form one or two bonds.

One possible molecule that satisfies these criteria is vinyl chloride (CH2=CHCl), which has two carbon atoms double-bonded to each other and single-bonded to one chlorine atom and one hydrogen atom each. The double bond between the two carbon atoms means that they share two pairs of electrons, while the single bonds between carbon and chlorine, and between carbon and hydrogen, mean that they share one pair of electrons each.

To make the structure more clear, we can draw the molecule in a way that shows the spatial arrangement of the atoms. In this case, the molecule has a linear shape, with the two carbon atoms and the chlorine atom lying in the same plane and the hydrogen atoms pointing outwards.

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Related Questions

If the reaction has reached equilibrium and then the sealed reaction vessel expands, increasing the volume, the reaction would ____.

Answers

If the reaction has reached equilibrium and then the sealed reaction vessel expands, increasing the volume, the reaction would increase.

The equilibrium will change to favor the direction that produces more moles of gas when the volume is increased.

Equilibrium is a state of balance between opposing forces or actions that can be static (such as when forces are applied to a body and the resultant is zero) or dynamic (such as during a reversible chemical reaction when the velocities in both directions are equal). It can also be a state of equilibrium between the mind and the body.

In terms of economics, equilibrium occurs when supply and demand are equal. When you are composed and steady, you are in an equilibrium state.

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Why has nuclear fusion been difficult to develop?
A. Fuel for nuclear fusion is very rare.
B. Fusion normally occurs in the vacuum of space and the atmosphere on Earth stops the
reaction.
C. It is hard to recreate the extremely high temperatures and pressures found inside stars.
D. An efficient shape to contain the reaction has not been found.

Answers

Answer:

C. It is hard to recreate the extremely high temperatures and pressures found inside stars.

Explanation:

Nuclear fusion occurs when atomic nuclei are forcefully combined to create a new atomic nuclei or subatomic particles. In nature, this process takes place in our Sun and other stars. Within stars, extremely high temperatures and pressures are achieved and cause nuclear fusion to occur. Humans have not yet been successful in recreating the environment necessary to mimic this process.

A sample of food is put into a bomb calorimeter and its caloric content is measured. The final measurement reads 100 (large) Calories. How many joules of energy does this food contain

Answers

The amount of energy, in Joules, that the food contains will be 414.8 Joules

Calories to Joule conversion

According to metrics, 1 kilocalorie = 4184 Joules.

100 Calories = 100/1000 = 0.1 kiloCalories.

0.1 kilocalories = 0.1 x 4184 = 414.8 Joules

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If initially there are 8.0 kg of cesium-137 present in a sample, how many kg will remain after 60.0 years

Answers

Answer:

2 kg

Explanation:

the half life of cesium is approx 30 years

  60 years is 2 half lives

       8 kg * 1/2 * 1/2 = 2 kg  

How many grams of aluminum can be recovered from a 34.5 g sample of al2o3?

Answers

18.26 g of Al can be recovered.

Calculation:

The equation that follows is:

2Al₂O₃ → 2Al + 3O₂

The atomic mass of Al = 27 g

The molecular mass of Al₂O₃ = 102 g

From the stoichiometric equation, 102g of Al₂O₃ yields 54 g of Al

Therefore,

34.5 g of Al₂O₃ will give = [tex]\frac{54 (34.5)}{102}[/tex]

                                        = 18.26 g

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Determine the molarity of a solution that contains 30 moles naoh in 0.80 liters of solution?

Answers

Taking into account the definition of molarity,  the molarity of a solution that contains 30 moles naoh in 0.80 liters of solution is 37.5 [tex]\frac{moles}{liters}[/tex].

Definition of molarity

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

[tex]Molarity=\frac{number of moles}{volume}[/tex]

Molarity is expressed in units [tex]\frac{moles}{liters}[/tex].

This case

In this case, you have:

number of moles= 30 molesvolume= 0.80 L

Replacing in the definition of molarity:

[tex]Molarity=\frac{30 moles }{0.80 L}[/tex]

Solving:

Molarity= 37.5 [tex]\frac{moles}{liters}[/tex]

Finally, the molarity of a solution that contains 30 moles naoh in 0.80 liters of solution is 37.5 [tex]\frac{moles}{liters}[/tex].

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A photon has an energy of 2.88×10^-18 J . Convert energy into eV.

Answers

A photon has an energy of 2.88 × 10⁻¹⁸ J. The energy into eV is 17.97 eV.

What is Photon Energy ?

The energy which is carried by a single photon is called Photon energy.

It is expressed as:

E = hf

where,

E = Photon energy

h = Planck's energy

f = Wave frequency

How to convert Joules (J) into Electron volt (eV) ?

To convert J into eV

E(eV) = E(J) × 6.241509 × 10¹⁸

         = 2.88 × 10⁻¹⁸ × 6.241509 × 10¹⁸

         = 17.97 eV

Thus from the above conclusion we can say that A photon has an energy of 2.88 × 10⁻¹⁸ J. The energy into eV is 17.97 eV.

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If a reaction occurs, what will be the products of the unbalanced reaction below?

Zn(s) + HCl(aq) -->

A. No reaction will occur
B. ZnH(s) + Cl2(g)
C. ZnCl2(s) + H2(g)
D. HZnCl(s)

Answers

Answer:

C) ZnCl2(s) + H2(g)

Explanation:

On reaction between Zn and HCl, Zn is more reactive than Hydrogen thus displacing it from HCl making a bond with two atoms of chlorine and releases hydrogen gas.

The equation of reaction

Zn(s) + HCl(aq) => ZnCl2(s) + H2(g).

Therefore, the required products are ZnCl2(aq) and H2(g).

Receiving an electrical shock when you forget to turn off the power before working on an electrical socket is an example of a negative punishment. please select the best answer from the choices provided t f

Answers

Answer:

TRUE

Explanation

Negative punishment's or  reinforcement .

Negative reinforcement comes as a result of failing to take the necessary precautional measures , whether intentional or unintentional .

Forgetting is a natural circumstance hence if one forgets it means in the first place he has by passed the protocols anyway and he has to take the consequences  .

Sometimes it may be ignorance since it is in common knowledge to turn off  any machine and if possible you should unplug it from the power supply to avoid any shocks which may even be fatal if the source of power does not have mechanisms to control such situations i.e. shocks and power surges .

Psychological when one gets such a punishments he will always remember the ordeal since it inflicted pain on him and he will always take precautional measures before handling an electronic or power sources .

Answer:false

Explanation:

When exothermic reactions occur, ______________.
i. heat energy is absorbed.
ii. water is produced.
iii. heat energy is released.
iv. oxygen is produced.

Answers

Answer:

heat energy is released into the surrounding

Which of the following is most easily reduced?
Click for a reduction potential chart
OA. Fe²+
OB. Zn+
OC. Agt
OD. Mg2+
SUBMIT

Answers

The reduction potential chart for metals, we can see that the most easily reduced metal in the list is Ag^+. Option C

What is reduction?

A redox reaction is one that involves an oxidation and a reduction taking place simultaneously. This is because, the processes of electron loss and electron gain has to occur at the same time. A specie looses the electron that is gained by the other specie.

Now we know that metals are arranged in order of increasing reducing ability and decreasing reactivity. This arrangement is called the activity series of elements.

Looking at the reduction potential chart for metals, we can see that the most easily reduced metal in the list is Ag^+. Option C

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How does the number of osmoles factor in when trying to calculate the molar mass of a substance?

Answers

To calculate the molar mass of substance, divide the number of moles by the given mass of substance.

The quantity of a substance is known as a mole. You can measure it in terms of grams, liters, atoms, molecules, or particles.

Use the substance's molar mass to convert between grams and moles. Divide the given mass by the number of moles to convert from moles to molar mass.

Using the formula, Number of moles = Given mass/ molar mass

The molar mass of a substance can be calculated as-

Molar mass = Given mass/number of moles

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Describe how Alpha particles, Beta particles, and Gamma rays can be separated from one other?

Need answer ASAP, PLEASE HELP!!!!!!!!!

Answers

All three types of charge can be separated by the use of electrostatic field.

What are alpha particles?

There are three kinds of rays that are basically discussed when we talk about radioactivity and they are alpha, beta and gamma rays.

Now we know that an alpha ray is positively charged, a beta ray is negatively charged while a gamma ray is not charged. This means that all three types of charge can be separated by the use of electrostatic field.

The gamma rays passes through the field without deflation , the alpha ray is deflated towards the negative part of the field, the beta rays is deflated towards the positive part of the filed.

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What is the amount of space occupied by a sample of matter

Answers

The amount of space that matter occupies is called its volume. Solids, liquids, and gases all have volume.

A. Choose one of the four biogeochemical cycles that were discussed in this unit - carbon, nitrogen, water, or oxygen and describe the cycle in some detail using steps.

B. Give two ways man is disrupting the cycle and the effects that disruption has on the cycle.

Answers

Water cycle simply refers to the continuous movement or flow of water from the atmosphere to the earth and back to the atmosphere

What is are the stages of water cycle?

These are the basic stages through which water passes. These stages are:

EvaporationCondensationPrecipitation Collection.

So therefore, water cycle simply refers to the continuous movement or flow of water from the atmosphere to the earth and back to the atmosphere

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Which one of the following has little bearing on whether profitable opportunity exists to install additional new or refurbished production equipment in the upcoming decision round

Answers

The option that has little bearing on whether profitable opportunity exists is option c) How many companies in the industry have expanded their plant capacity since Year 10 because it is not detailed enough.

What is  Decision Making:

Decision making is known to be a term that connote the method or act that is based on making the right and best decision among the numbers of alternative available.

Note that  It includes the act of classifying and knowing the best on the use of preference, belief, and others.

Therefore, the option that has little bearing on whether profitable opportunity exists is option c) How many companies in the industry have expanded their plant capacity since Year 10 because it is not detailed enough.

See full question below

Which one of the following has little bearing on whether profitable opportunity exists to build additional plant capacity in the upcoming decision round?

a) Whether data in the most recent FIR indicates that unsold inventories of branded footwear were so disturbingly high that many of these unsold pairs were cleared from company inventories at money-losing prices.

b) Whether the most recent year's FIR shows that ample production capacity already exists to supply the combined demand for branded footwear and private-label footwear three years from now.

c) How many companies in the industry have expanded their plant capacity since Year 10.

d) How potential global supply of footwear in the upcoming year compares with expected global demand

e) Whether the branded pairs available for sale in the most recent year (as reported in FIR)

exceeded global branded demand and, if so, by how much.

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Which equation agrees with the ideal gas law?
StartFraction V subscript 1 over T subscript 1 EndFraction equals StartFraction V subscript 2 over T subscript 2 EndFraction.
V subscript 1 n subscript 1 equals V subscript 2 n subscript 2.
P subscript 1 n subscript 1 equals P subscript 2 n subscript 2.
StartFraction P subscript 1 over P subscript 2 EndFraction equals StartFraction T subscript 2 over T subscript 1.

Answers

The equation for ideal gas law is written as PV = nRT.

What is Ideal gas law?

Ideal gas law states that, the volume of a given amount of gas is directly proportional to the number on moles of gas, directly proportional to the temperature and inversely proportional to the pressure.

PV = nRT

where;

P is pressure of the gasV is volume of the gasn is number of molesR is ideal gas constantT is temperature

Thus, the equation for ideal gas law is written as PV = nRT.

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How many silver (Ag) atoms are in 3.0 moles of silver?

Answers

Answer:

1.8 x 10²⁴ atoms Ag

Explanation:

You can find the amount of silver (Ag) atoms by multiplying the moles by Avogadro's number. It is important to arrange the conversion in a way that allows for the cancellation of units (the desired unit should be in the numerator). The final answer should have 2 sig figs to match the sig figs of the given value.

Avogadro's Number:

6.022 x 10²³ atoms = 1 mole

3.0 moles Ag           6.022 x 10²³ atoms
----------------------  x  --------------------------------  = 1.8 x 10²⁴ atoms Ag
                                           1 mole

1.8x10^24 atoms Ag lol

Given the following equation: 2h20=2h2+02 how many grams of o2 are produced if 3.6 grams of h20 react?

Answers

Answer:

3.2 g O₂

Explanation:

To find the mass of O₂, you need to (1) convert grams H₂O to moles H₂O (via molar mass), then (2) convert moles H₂O to moles O₂ (via mole-to-mole ratio from reaction coefficients), and then (3) convert moles O₂ to grams O₂ (via molar mass). It is important to arrange the ratios/conversions in a way that allows for the cancellation of units (the desired unit should be in the numerator). The final answer should have 2 sig figs to reflect the sig figs of the given value (3.6 g).

Molar Mass (H₂O): 2(1.008 g/mol) + 15.998 g/mol

Molar Mass (H₂O): 18.014 g/mol

2 H₂O -----> 2 H₂ + 1 O₂

Molar Mass (O₂): 2(15.998 g/mol)

Molar Mass (O₂): 31.996 g/mol

3.6 g H₂O         1 mole               1 mole O₂           31.996 g
----------------  x  ---------------  x  ---------------------  x  ---------------  = 3.2 g O₂
                         18.014 g          2 moles H₂O          1 mole

uppose the reaction Ca3(PO4)2 + 3H2SO4 ï‚® 3CaSO4 + 2H3PO4 is carried out starting with 153 g of Ca3(PO4)2 and 87.6 g of H2SO4. How much phosphoric acid will be produced?

Answers

The answer is 58.4 g of H₃PO₄

Given that mass of Ca₃(PO₄)₂ is 153g

mass of H₂SO₄ is 87.6g

We need to calculate the mass of H₃PO₄

So the balanced chemical reaction is

Ca₃(PO₄)₂  +  3H₂SO₄  ⇒   3CaSO₄  +  2H₃PO₄

Let us calculate the molar mass of the reactants

Ca₃(PO₄)₂ = (3 x 40) + (2 x 31) + (8 x 16)

= 120 + 62 + 128

= 310 g

H₂SO₄ = (1 x 2) + (32 x 1) + (16 x 4)

= 2 + 32 + 64

= 98 g

Now let us calculate the limiting reactant

The Theoretical Yield =  Ca₃(PO₄)₂ / H₂SO₄

= 310 / 3(98)

= 1.05

The Experimental yield

Ca₃(PO₄)₂ / H₂SO₄

= 153 / 87.6 = 1.74

Because the observed percentage was more than the predicted proportion, H2SO4 is the limiting reactant.

Let us Calculate the molar mass of H₃PO₄

H₃PO₄ = (1 x 3) + (31 x 1) + (16 x 4)

= 3 + 31 + 64

= 98 g

Now Calculate the mass of H₃PO₄

3(98) g of H₂SO₄ ------------------ 2(98) g of H₃PO₄

87.6 g of H₂SO₄ ------------------  x

x = ( 87.6 x 2 x 98) / (3 x 98)

x = 17169.6 / 294

x = 58.4g of H₃PO₄

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Which four items are changes in the hazard communication standard for chemical labels and sds?.

Answers

The four items that change in the hazard communication standard for chemical labels and SDS

Product identifier.Signal word.Hazard statement.Pictograms.Precautionary statement.

This is further explained below.

What is the hazard communication standard?

Generally, The Hazard Communication Standard (HCS) was developed to ensure that employees have the "right to know" about any possible dangers that may be related to the work that they do. The HCS is a preventative strategy that is meant to distribute information to employees and employers about the health dangers that are associated with the chemicals that they handle and the protection that is necessary.

In conclusion, Hazard communication labels and SDS product identifiers have undergone four changes as a result of the new standard. The term serves as a signal to the driver. There is a risk. Pictograms. Statement of caution.

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Calculate the pH if the pOH = 0.59.

Answers

Answer:

pH = 13.41

Explanation:

You can calculate the pH using the following formula:

pH + pOH = 14

You can plug the given pOH into the equation and simplify to find the pH.

pH + pOH = 14

pH + 0.59 = 14

pH = 13.41

Lead(II) oxide from an ore can be reduced to elemental lead by heating in a furnace with carbon. Calculate the expected yield of lead if 50.0 kg of lead oxide is heated with 50.0 kg of carbon.

Answers

Find the expected yield of lead:

The expected yield of lead if 50.0 kg of lead oxide is heated with 50.0 kg of carbon is 46 kg

Calculation:

First and foremost, we must correctly write the equation of reaction in order to answer this issue. This is what it is:

PbO(s) + C(s) → Pb(l) + CO (g)

We continue from here. The limiting reactant should be found, however finding out how many moles of each reactant are present is the only way to do so.

The number of moles is calculated using the formula: the mass of each reactant divided by the molar mass of each reactant.

Mass of PbO is 50kg = 50000g

Molar mass of PBO = 223.20g/mol

The number of moles is thus 50000/223.2 = 224 moles

For carbon, mass is also 50kg = 50000g

Molar mass is 12g/mol

Number of moles of carbon = 50000/12 = 4166.6 moles

We can observe from the number of moles that there are more moles of carbon than PbO. This indicates that the limiting reagent is PbO.

So, in order to determine percentage yield, we employ it.

Since we have a mole ratio of 1 to 1, the number of moles of lead created is equal to the number of moles of lead oxide, which is 224.

The molar mass of lead = 207.20 g/mol

The mass of lead formed = moles of lead x molar mass of lead

The mass of lead formed = 207.20 x 224 =  46,412.8 g = 46 kg

Hence, the expected yield is 46 kg.

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i need help with these two questions, i been stuck for 2 hours

Answers

1.  The mass of Fe2O3 required will be 51.29 grams

2. The mass of Cu that will be formed is 36 kg

Stoichiometric problems

1) The equation of the reaction goes thus: [tex]2Fe_2O_3 + 3Pt --- > 3PtO_2 + 4Fe[/tex]

Mole ratio of Fe to Fe2O3 = 2:1

Mole of 35.9 g Fe = 35.9/56 = 0.6411 mol

Equivalent mole of Fe2O3 = 0.6411/2 = 0.3205 mol

Mass of 0.3205 mol Fe2O3 = 0.3205 x 160 = 51.29 grams

2) [tex]2CuO --- > 2Cu + O_2[/tex]

Mole ratio of CuO to Cu = 1:1

Mole of 45 kg CuO = 45000/80 = 562.5 mol

Equivalent mole of Cy = 562.5 mol

Mass of 562.5 mol of Cu = 562.5 x 64 = 36,000 grams or 36 kg

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Question 7 of 10
Carbonic anhydrase is an enzyme in the human body that participates in the
reaction shown below:
CO₂ + H₂O → H₂CO3
How will this reaction be affected if carbonic anhydrase acts as a catalyst?
OA. CO₂ and H₂O will be produced.
OB. H₂CO3 will be produced faster.
OC. H₂CO3 will be produced more slowly.
OD. H₂CO3 will not be produced at all.
SUBMIT

Answers

B, it will be produced faster

H₂CO₃ will be produced faster  if carbonic anhydrase acts as a catalyst and the correct option is option B.

What is Carbonic Anhydrase?

Carbonic anhydrase enzyme helps to maintain acid-base homeostasis, fluid balance and regulate pH. Based on its location, the enzyme role changes slightly.

The inter-conversion that occurs between water, carbon dioxide, and dissociated carbonic acid ions, is catalyzed by a group of enzymes that form by carbonic anhydrase, or carbonate dehydratase.

The active site for most carbonic anhydrase is supposed to be a zinc ion, and it is as a result classified as metalloenzymes.

Therefore, H₂CO₃ will be produced faster  if carbonic anhydrase acts as a catalyst and the correct option is option B.

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Nitrogen gas reacts with oxygen gas to form dinitrogen tetroxide. When the equation is written and balanced, the sum of the coefficients is __________.

Answers

Nitrogen gas reacts with oxygen gas to form dinitrogen tetroxide. When the equation is written and balanced, the sum of the coefficients is 3.

Nitrogen gas reacts with oxygen gas to form dinitrogen tetroxide

By catalytically oxidizing ammonia, nitrogen tetroxide is produced; steam is employed as a diluent to lower the combustion temperature. The ammonia is converted into nitric oxide in the initial step:

 4 NH3 + 5O2   →    6 H2O  + 4 NO

The gases are further cooled and the majority of the water is condensed; the created nitric oxide is then converted to nitrogen dioxide, which is dimerized into nitrogen tetroxide:

2 NO + O2 →2 NO2

2 NO2 ⇌ N2O4

Dinitrogen tetroxide

Dinitrogen tetroxide is the chemical molecule N2O4, also known as nitrogen tetroxide (NTO) and occasionally amyl (typically among ex-USSR/Russian rocket engineers). It is a helpful reagent in the synthesis of chemicals. It and nitrogen dioxide combine to form an equilibrium combination. It has a 92.011 g/mol molar mass.

Dinitrogen tetroxide is a potent oxidizer that spontaneously reacts when it comes into touch with different types of hydrazine, making it the two popular bipropellants for rockets.

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Will mark you brainliest and give you 15 points!!

what is the mass of 22.4 l of n2 at stp? (5 points)

a
11.2 grams

b
14.00 grams

c
22.4 grams

d
28.01 grams

Answers

Answer:

d

Explanation:

22.4 L is the same as 1 mol.

Diatomic nitrogen has a formula mass of 28.01 g/mol, so the answer is d.

All light is the same, whether it comes from the sun, a light bulb, or anywhere else.

Answers

All light being the same whether it comes from the sun a light bulb or

anywhere is False.

What is Light energy?

This is a type of kinetic energy which makes light to be visible to the eyes.

There are different sources of light which include:

Sun

• Electric bulb

Candle etc.

Light from bulbs and Sun involve photons being emitted at different intensities which is why the light from both sources are different.

The Sun has more intensity and a different

intensities which is why the light from both sources are different.

The Sun has more intensity and a different source than the Light bulb.

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What mass of oxygen reacts during the incomplete combustion of 18.0 g of propane?

Answers

Answer:

45.82 gm O2

Explanation:

From your balanced equation in the first part, you can see that 2 moles propane  need 7 moles O2

Find the number of moles of propane in 18 gm

   mole wt of propane = ~  12 * 3 + 8 *1 = 44 gm/mole

      18 gm /  44 gm/mole  =  9/22 gm/mole  propane

            we need 7/2 of this as O2 moles    7/2 * 9/22 = 1.432moles of O2

 O2   mole weight =~ 32

       1.432 moles * 32 gm/mole = 45.82 gm O2

The difference between the calculated voltage (based on standard potentials) and the actual voltage required to cause electrolysis is called .

Answers

The difference between the calculated voltage (based on standard potentials) and the actual voltage required to cause electrolysis is called overvoltage.

Electrolysis

Electrolysis is the technique of causing a chemical change in a substance by passing an electric current through it. The substance either loses or gets an electron during the chemical transition (oxidation or reduction). The procedure is carried out in an electrolytic cell, a device made up of positive and negative electrodes that are kept apart and submerged in a solution with ions that are both positively and negatively charged. The chemical that needs to be converted might either be dissolved in the solution or could form the electrode. The negatively charged electrode (cathode) receives electrical current (i.e., electrons), which travels there and combines with the components of the solution to convert them (reduced).

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Other Questions
what is the value of the phase angle if the initial velocity is positive and the initial displacement is negative? express your answer in radians. True/False: the federal government's power to tax and spend is sometimes exploited to achieve goals that they would otherwise not have the power to achieve. Members of a lacrosse team raised $2033 to go to a tournament. They rented a bus for $993. 50 and budgeted $74. 25 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament Find the exact value of the trigonometric expression given that sin u = 7/25 and cos v = 7/25. a) Prove that the function f : mathbb N * mathbb N mathbb N defined as f(m, n) = 2 ^ m * 3 ^ n is injective, but not surjective. (You are not allowed to use the factorization of integers into primes theorem, just use the properties that we know so far).b) Let S =f( mathbb N * mathbb N ). An intuitive way to define a function g from S to Q is letting g(2 ^ m * 3 ^ n) = m/n Explain why this indeed does define a function g / S mathbb Q [Note: recall that a function assigns a unique number to each element of the domain. So for example the formula h(2 ^ m * 2 ^ n) = m/n does not define a function, since I get two different outputs for m = 1 , n = 2 , but the same input i.e. 2 ^ 3 = 8c) Prove that S is countable (use the function f). How does the ability to product differentiate benefit a monopolistically competitive firm? O Product differentiation allows monopolistically competitive firms to compete on quantity. O Product differentiation affects perfectly competitive firms, not monopolistically competitive firms. O Product differentiation allows monopolistically competitive firms to compete on price and quality O Product differentiation increases the costs of production. two identical resistors, each with resistance of 1500 , are wired in series with a 9v battery. (a) find the current through each resistor. (b) find the voltage difference across each resistor. which amendment laid the groundwork for applying the bill of rights to the actions of state governments? Biological polymers are often made using dehydration (or condensation reactions. During these dehydration reactions these occurs what happens? the parent of a child with cerebral palsy asks how therapeutic horseback riding might benefit his adolescent. what benefits would the nurse describe? . you have just brought your team together. what should you do in this early stage of your team's development? disruption of the function of which of the following organelles would result in a dramatic decrease in atp synthesis and some protein synthesis in eukaryotic cells Find sin x/ 2 , cos x/ 2 , and tan x/ 2 from the given information. sin(x) = 3/ 5 , 0 < x < 90 T/F farther an objects mass is from its axis of rotation the harder it is to change the way it spins. you need to stop a service so that you can do some troubleshooting. before you stop it, you need to see whether any other services will be affected by this action. what should you do? 1. in hidalgo's provocative speech, sept 16th 1810 what 3 things did hidalgo want for themexican people? How much heat is released if 34 grams of CaCl changes the temperature of 250 mL of water from 20 C to 32 C? 4.5 points each Determine if the following sequences are convergent or divergent. If it is convergent, to what does it converge? (a)an=n2e-n 723 5.5 points each Explain why the following series are either convergent or divergent.No explanation yields no credit. after Draw the Lewis Dot Structure for PCl3 and fill in the following:# of single bonds around central atom :# of double bonds around central atom :# of triple bonds around central atom :# of lone pairs around central atom :what is the electron geometry :what is the molecular geometry :what is the bond angle :Is this structure polar or nonpolar ; what is the coefficient of x2y15 in the expansion of (5x2 2y3)6? you may leave things like 4! or (3 2 ) in your answer without simplifying.