consider a binary liquid mixture for which the excess gibbs free energy is given by ge/rt= ax1x2(x1 2x2). what is the minimum value of a for which liquid-liquid equilibrium (lle)

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Answer 1

The minimum value of 'a' for liquid-liquid equilibrium (LLE) in the binary liquid mixture is determined by the given excess Gibbs free energy equation ge/RT = ax1x2(x1 2x2).

What is the critical 'a' value required for achieving liquid-liquid equilibrium (LLE) in the binary liquid mixture?

Liquid-liquid equilibrium (LLE) occurs when two immiscible liquid phases coexist in thermodynamic equilibrium.

In the given binary liquid mixture, the excess Gibbs free energy (ge) is described by the equation ge/RT = ax1x2(x1 2x2), where x1 and x2 represent the mole fractions of the two components in the mixture.

To achieve liquid-liquid equilibrium, we need to determine the minimum value of 'a' that satisfies this equation.

To find the minimum 'a' value, we can set the equation equal to zero, as at the LLE condition, the excess Gibbs free energy reaches its minimum value. Solving for 'a' will give us the critical value needed for liquid-liquid equilibrium.

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Related Questions

In texas, special elections are used to:

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In Texas, special elections are used to ratify amendments to the Texas Constitution.

What is Election?

This is referred to a formal way of people voting for someone or for a type of cause.

Special elections which are held in Texas is done to ratify amendments to the constitution and is usually done by the legislature thereby making it the most appropriate choice.

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What is the electron structure of a beryllium atom? 1s ²2s 1 O 1s 22s 2 1s ¹2s 2 1s 23s 2​

Answers

Answer:

Be = 1s²2s²

Explanation:

Beryllium (Be) is the 4th element on the periodic table. As such, beryllium has 4 electrons. It is the second element located in the second row in the s-block. Therefore, beryllium's electron structure should consist of 2 completely filled s-orbitals.

Answer:

Explanation:

8281s

Part C Compare your proposed process for the synthesis of ammonia from part E of task 2 with the Haber process. Describe at least two similarities and two differences between the processes.

Answers

On comparing the proposed processes of ammonia synthesis by dry distillation and Haber process,

The similarities found are both process use natural raw material and The differences between them are Haber process use catalyst (iron) while there is no catalyst in the proposed process

Dry distillation processAmmonia was mainly produced by the method of dry distillation pf animal waste It can also be prepared from the waste of vegetables which are rich in ammoniaIn this process the nitrites, nitrous acids and hydrogen were reduced to give the nitrogen as a product.Haber process This process involves the reaction between molecules of nitrogen and hydrogen in gaseous phase.The raw materials, nitrogen is obtained from air and the hydrogen is from Water and methane gas.Chemical reaction involved in this process is,                                       N2 + 3H2 ↔ 2NH3The catalyst used in this process is iron which increases the rate of reaction.

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Regions in the human genome where one nucleotide has been substituted for another in at least 1% of the population are called:_______

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Regions in the human genome where one nucleotide has been substituted for another in at least 1% of the population are called single nucleotide polymorphism

What are nucleotides?

Nucleotide can simply be defined as the basic building block of nucleic acids either RNA and DNA

Generally, nucleotides consists of a sugar molecule (either ribose in RNA or deoxyribose in DNA) attached to a phosphate group and a nitrogen-containing base.

A region is any considerable and connected part of a space or surface; specifically, a tract of land or sea of considerable but indefinite extent, a country, a district, in a broad sense, a place without special reference to location or extent but viewed as an entity for geographical, social or cultural reasons.

So therefore, regions in the human genome where one nucleotide has been substituted for another in at least 1% of the population are called single nucleotide polymorphism.

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HI. I need some help in understanding EXTRACTION OF METAL, so do we use ELECTROLYSIS as separating method of a molten solution of there ion to extract them from the solution ,or NOT

Answers

Yes, Electrolysis is used as a separating method of a molten solution of their ion to extract them from the solution.

What is Electrolysis?

A non-spontaneous chemical reaction can be sped up using a process called electrolysis that uses direct electric current. As a step in the electrolytic cell-based separation of elements from naturally existing sources like ores, electrolysis is significant from a commercial standpoint.

The electric current used to trigger an artificial reaction Numerous elements were discovered and are still produced in today's industry by the electrolysis method, which can be used to separate a substance into its original components or elements.

Uses for electrolysis include

The removal of metals from their ores using this process.It is employed in the refinement of several metals, including copper and zinc.Chlorine is produced by the process of electrolysis.Many items we use every day are electroplated using electrolysis.

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potassium iodide lead (II) nitrtate -- lead (II) iodide potassium nitrtate , write as a balanced equation

Answers

For Lead (II) Nitrate + Potassium Iodide Lead (II) Iodide + Potassium                                                                                                           Nitrate , The balanced equation is [tex]Pb(NO_{3})_{2}[/tex] + 2KI ----->  [tex]PbI_{2}[/tex] + 2 [tex]KNO_{3}[/tex]

We must first convert from a word equation to a symbol equation:

Lead (II) Nitrate + Potassium Iodide Lead (II) Iodide + Potassium

                                                                                              Nitrate

The lead (II) ion is represented as [tex]Pb^{2+}[/tex] and nitrate ion as [tex]NO_{3} ^{-}[/tex]

We need two nitrate ions per lead (II) ion,  so lead (II) nitrate is [tex]Pb(NO_{3})_{2}[/tex]

The potassium iodide is simply KI

In lead (II) iodide, the charges balance in a  1:2 ratio, so it is [tex]PbI_{2}[/tex]

And, potassium nitrate is simply [tex]KNO_{3}[/tex]

So, The symbol equation is as follows:

[tex]Pb(NO_{3})_{2}[/tex] + KI ----->  [tex]PbI_{2}[/tex] + [tex]KNO_{3}[/tex]

Now, increase the number of nitrate ions on the right hand side of the equation as:

[tex]Pb(NO_{3})_{2}[/tex] + KI ----->  [tex]PbI_{2}[/tex] + 2 [tex]KNO_{3}[/tex]

Now, balance the potassium ions on each side of the equation as:

[tex]Pb(NO_{3})_{2}[/tex] + 2KI ----->  [tex]PbI_{2}[/tex] + 2 [tex]KNO_{3}[/tex]

Hence, the balanced equation is ;

[tex]Pb(NO_{3})_{2}[/tex] + 2KI ----->  [tex]PbI_{2}[/tex] + 2 [tex]KNO_{3}[/tex]

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(RLLY NEED HELP) What is caused by friction between two objects?
Static electricity

Dry air

A circuit

Moist air

Answers

second one i think.

Influence of bromine and iodine chemistry on annual, seasonal, diurnal, and background ozone: CMAQ simulations over the Northern Hemisphere

Answers

It does not have a strong seasonal influence on ozone over the Northern Hemisphere.

Ozone

Three oxygen atoms make up ozone, a highly reactive gas. The stratosphere, the upper atmosphere of the planet, and the lower atmosphere both include this naturally occurring and artificial substance (the troposphere). Ozone has an impact on life on Earth, but only depending on where it resides in the atmosphere.

Molecular oxygen and solar ultraviolet (UV) light interact to naturally create stratospheric ozone. The "ozone layer," which is located 6 to 30 miles above the Earth's surface, decreases the quantity of dangerous UV light that reaches the surface.

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What property should a radioisotope used for dating have?
OA. It must be an isotope not commonly found in the fossil.
OB. Its half-life should be similar to the age of the fossil.
OC. It must have a half-life much longer than the fossil age.
OD. It must decay to a stable isotope of the same element.

Answers

The property a radioisotope used for dating should have is Its half-life should be similar to the age of the fossil and is denoted as option B.

What is a Radioisotope?

This is an element which is unstable and releases radiation to achieve its stability.

The half-life of the element used in dating should be similar to that of the fossil for easy comparisons and accuracy.

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Answer:

b, half life should be similar to the fossil

Explanation:

Monosaccharides are the smallest building blocks of sugars and have similar chemical compositions. Considering that simple sugars are a component of carbohydrates, what is the general chemical composition of monosaccharides

Answers

Answer:

See below

Explanation:

Monosaccharides:They are the simplest sugars.They can not be hydrolyzed.They are sweet in taste.They are soluble in water.They have the general formula of [tex]C_n(H_2O)_n[/tex]Chemical composition:They are composed of:CarbonHydrogenOxygen

[tex]\rule[225]{225}{2}[/tex]

A hydrogen bond can occur between:

A. Two hydrogen atoms on different molecules.
B. Two oxygen atom surrounded by hydrogens.
C. The two hydrogen atoms on a water molecule.
D. A hydrogen from one molecule and an oxygen from another molecule.

Answers

A hydrogen bond occurs between a hydrogen from one molecule and an oxygen from another molecule. Option D

What is the hydrogen bond?

The hydrogen bond is one that is responsible for association in molecules. It occurs when hydrogen is covalently bonded to a highly electronegative element such as oxygen, nitrogen or Sulphur.

Thus, a hydrogen bond occurs between a hydrogen from one molecule and an oxygen from another molecule. Option D

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Comparison of IR of starting materials (given in the lecture) to IR of product What indicates the purity of the product on the IR spectrum of product

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The Old Way

If the peaks matched those of known impurities, they could use the intensities to calculate the purity of the ester.

What is IR Spectrum ?

IR-spectroscopy is perhaps the most frequently used technique in the organic chemistry labs at PSU. It is routinely used to identify products and to verify that an experiment has succeeded.

An IR -spectrum routinely shows peaks from the range of 3600 to 500 cm-1. IR -frequencies correspond to the frequencies of molecular vibrations. The IR spectrum can be used to show that there is not any starting material left by the loos of the alkene bond(C=C) between 1500cm^-1 and 1800cm^1 from 1-hexene and the addition of a hydroxyl group(-OH) of 2-Hexanol between 3000cm^-1 and 3300cm^-1.

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Describe any five uses of non-metals.​

Answers

HYDROGEN: USED AS ROCKET FUEL.

CHLORINE: USED TO PURIFY WATER.

GRAPHITE: USED IN PENCILS TO WRITE.

HELIUM: USED IN BALOONS TO MAKE THEM FLOAT INTO THE AIR.

PHOSPHOROUS: USED FOR IGNITION, SUCH AS FIREWORKS.

Given the following equation: __ Al(s) __ O2(g) --> __ Al2O3(s) When the equation is correctly balanced using smallest whole numbers, the coefficient of Al(s) is:

Answers

Answer:

The coefficient for Al(s) is 2.

Explanation:

__ Al(s) __ O2(g) --> __ Al2O3(s)

__ Al(s) __ O2(g) --> 1 Al2O3(s)

1 Al(s) __ O2(g) --> 1 Al2O3(s)

1 Al(s) + 1.5 O2(g) --> 1 Al2O3(s)             [Use a fraction to make it balance]

2 Al(s) + 3 O2(g) --> 2 Al2O3(s)             [Convert the 1.5 fraction to a whole number by multiplying all coefficients by 2]

Consider the reaction. At 298 K, the equilibrium concentration of O2 is 1.6 x 10-2 M, and the equilibrium concentration of O3 is 2.86 x 10-28 M. What is the equilibrium constant of the reaction at this temperature

Answers

The value of the equilibrium constant is 1.99 × [tex]10^-^5^0[/tex] .

Given:

Concentration of [tex]O_2 = 1.6[/tex] × [tex]10^-^2 M\\[/tex]

Concentration of [tex]O_3 = 2.86[/tex] × [tex]10^-^2^8 M[/tex]

A chemical reaction known as an equilibrium reaction occurs when the reactants remain in a stable condition both during and after the reaction.

The given balanced equilibrium reaction is,

[tex]3O_2 (g) = 2O_3 (g)[/tex]

The expression for equilibrium constant will be,

[tex]K_c = \frac{[O_3] ^2}{[O_2]^3}[/tex]

Now put all the given values in this formula, and we get

[tex]K_c = \frac{(2.86 * 10^-^2^8] ^2}{[1.6 * 10 ^-^2]^3}[/tex]

[tex]K_c = 1.99[/tex] × [tex]10^-^5^0[/tex]

Therefore, the value of the equilibrium constant is 1.99 × [tex]10^-^5^0[/tex] .

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QUICK CHECK
Select the structure corresponding to methylpropylether.
O
Distinguishing Alcohols and Ethers
DONE

Answers

The structure that corresponds to methylpropylether is the structure CH3 - O - C3H7 in option C.

What is structure?

The structure of a compound is defined as the way in which the atoms in the compound are arranged. We know that a compound is composed of atoms and these atoms are arranged in particular patterns in space. This is the stereochemistry of the molecule.

Now we know that methylpropylether is a compound that contains the methyl group and the propyl group separated by a oxygen atom as is typical of all ethers.

As such, the structure that corresponds to methylpropylether is the structure CH3 - O - C3H7 in option C.

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_____ is a buildup of fluid within the eye.
a. macular
b. degeneration
c. cataracts
d. glaucoma
e. osteoporosis

Answers

Glaucoma Is a buildup of fluid within the eye.

The optic nerve, which is necessary for clear vision, is harmed by a group of eye conditions collectively referred to as glaucoma. This injury typically happens as a result of an excessively high amount of pressure in your eye. Glaucoma is one of the leading causes of blindness in persons over 60. Glaucoma frequently results from high intraocular pressure. Diabetes, however, can also increase your risk of developing glaucoma. We'll go into more detail about the connection between diabetes and glaucoma in this piece. We'll also talk about some preventative steps you may take to help keep your eyes healthy. Loss of side or peripheral vision: Often, this is the first glaucoma symptom.

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The equilibrium concentration of sulfide ion in a saturated lead sulfide solution is M. (Assume that .)

Answers

[S^2-] =8x10^-15 M ( I hope this is right )

Please Help! Is it possible to have two other resonance structures with the double bond being connected to the chlorine.

Answers

It is possible for two other resonance structures to be connected but results in positive formal charge which isn't suited for a very electronegative atom such as chlorine.

What is a Lewis structure?

This is a type of diagram which depicts the bonding between atoms and lone pairs which are present in the molecule.

Adding two other resonance structures will also result in the poor overlap between the p-orbitals.

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What is the energy change when 100g of Benzene boils at 80.1°C?

Answers

The enthalpy of vaporization for Benzene is 30.8 kJ/mol. 39.42 kJ is the energy change when 100g of Benzene boils at 80.1 degrees Celsius.

What is Enthalpy of Vaporization ?

The amount of enthalpy or energy that must be added to a liquid substance into gas substance is called Enthalpy of Vaporization. It is also known as Latent heat of vaporization.

How to find the energy change from enthalpy of vaporization ?

To calculate the energy use this expression:

[tex]Q = n \Delta H_{\text{vapo.}[/tex]

where,

Q = Energy change

n = number of moles

[tex]\Delta H_{\text{Vapo.}}[/tex] = Molar enthalpy of vaporization

Now find the number of moles

Number of moles (n) = [tex]\frac{\text{Given Mass}}{\text{Molar mass}}[/tex]

                                   = [tex]\frac{100\ g }{78\ g/mol}[/tex]

                                   = 1.28 mol

Now put the values in above formula we get

[tex]Q = n \Delta H_{\text{vapo.}[/tex]

   = 1.28 mol × 30.8 kJ/mol

   = 39.42 kJ

Thus from the above conclusion we can say that The enthalpy of vaporization for Benzene is 30.8 kJ/mol. 39.42 kJ is the energy change when 100g of Benzene boils at 80.1 degrees Celsius.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: The enthalpy of vaporization for Benzene is 30.8 kJ/mol. What is the energy change when 100g of Benzene boils at 80.1 degrees Celsius?

How many grams of aluminum are required to react with 35 mL of 2.0 M hydrochloric acid, HCl?__ HCl + __ Al --> __ AlCl3 + __ H2

Answers

Answer:

0.6258 g

Explanation:

To determine the number grams of aluminum in the above reaction;

determine the number of moles of HCldetermine the mole ratio,use the mole ratio to calculate the number of moles of aluminum.use RFM of Aluminum to determine the grams required.

Moles of HCl

35 mL of 2.0 M HCl

2 moles of HCl is contained in 1000 mL

x moles of HCl is contained in 35 mL

[tex]x \: mol \: = \: \frac{2 \: \times \: 35}{1000} \\ = 0.07 \: moles \: [/tex]

We have 0.07 moles of HCl.

Mole ratio

Balanced equation

6HCl(aq) + 2Al(s) --> 2AlCl3(aq) + 3H2(g)

Hence mole ratio = 6 : 2 (HCl : Al

but moles of HCl is 0.07, therefore the moles of Al;

[tex] = \frac{2}{6} \times 0.07 \\ \: = 0.0233333 \: moles[/tex]

Therefore we have 0.0233333 moles of aluminum.

Grams of Aluminum

We use the formula;

[tex]grams \: = moles \: \times \: rfm[/tex]

The RFM (Relative formula mass) of aluminum is 26.982g/mol.

Substitute values into the formula;

[tex] = 0.0233333 \: moles \: \times \: 26.982 \: \frac{g}{mol} \\ = 0.625799 \: grams[/tex]

The number of grams of aluminum required to react with HCl is 0.6258 g.

what is the formula n²o​

Answers

Answer:

Nitrous oxide

Explanation:

Nitrous+ Oxygen (ygen becomes -ide when it is combined) = Nitrous oxide

just learnt these in school, hope this is correct

hii kiran hru my darling

A Carnot cycle operates between the temperatures limits of 400 K and 1600 K, and produces 3600 kW of net power. The rate of entropy change of the working fluid during the heat addition process is

Answers

The rate of entropy change:

The rate of entropy change of the working fluid during the heat addition process is 3 kW/K

What is the Carnot cycle?

The Carnot Cycle is a thermodynamic cycle made up of reversible isothermal expansion, adiabatic expansion, isothermal compression, and adiabatic compression processes in succession. The ratio of the heat absorbed to the temperature at which the heat was absorbed determines the change in entropy.

The entropy of a system:

The rate of heat addition is expressed as,

Q = [tex]\frac{WT_{H}}{T_{H}- T_{L}}[/tex]

The entropy of a system is a measure of how disorderly a system is getting. The rate of entropy generation during heat addition is,

[tex]S_{gen} = \frac{Q}{T_{H}} = \frac{W}{T_{H} - T_{L}}[/tex]

Calculation:

Given:

[tex]T_{L}[/tex] = 400K

[tex]T_{H}[/tex] = 1600K

W = 3600 kW

Put all the values in the above equation, and we get,

[tex]S_{gen} = \frac{W}{T_{H} - T_{L}}[/tex] = [tex]\frac{3600}{1600-400}[/tex] = 3 kW/K

The rate of entropy change is 3 kW/K

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A sparingly soluble metal hydroxide, m(oh)2 has a molar solubility of s mol/l at 25°c. its ksp value is:______

Answers

The value of the Ksp can be obtained in terms of s as 4s^3.

What is Ksp?

The term Ksp has to do with the solubility product. It is the extent to which a substance can dissolve in water. We know that the solubility of the substance can be given as;

M(OH)2(s) ⇔M^+(aq) + 2OH^-(aq)

Ksp = s * (2s)^2

Ksp = s * 4s^2

Ksp = 4s^3

Thus it follows that the value of the Ksp can be obtained in terms of s as 4s^3.

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I NEED HELP ASAPPPP

Once extracted and purified, 20.0 grams of a pure sample of
substance X is thermally decomposed at 840oC. The two products of this reaction are calcium oxide and carbon dioxide gas. Write a balanced chemical equation and calculate the mass of calcium oxide produced. Show your process.

BALANCED CHEMICAL EQUATION:

PROCESS:

Answers

Answer:

11.2 grams CaO

Explanation:

It appears that substance X may be calcium carbonate:  CaCO3

CaCO3 can be thermally decomposed to CO2 and CaO in the following balanced reaction:

CaCO3(s) ⇒ CaO(s) + CO2(g)     (with applied heat, 840°C)

The molar ratio between the product, CaO, and the reactant, CaCO3, is 1:1.  If we start with 1 mole CaCO3, we should produce 1 mole of CaO.

We have 20.0 grams of substance X, which we'll label CaCO3.  Calculate the moles of CaCO3 by using its molar mass of 100.1 grams/mole.

 20.0 grams/(100.1 grams/mole) = 0.1998 or 0.200 moles of CaCO3.

This should produce, with a molar ratio of 1 to 1, 0.200 moles of CaO

Convert this to grams CaO by multiply by it's molar mass of 56.1 g/mole:

(0.200 moles)*(56.1 g/mole) = 11.2 grams CaO.  Any less, then blame it on your lab partner.  But don't try taking credit if you have more than 11.2 grams.  Scraping debri off the counter into the beaker doesn't count.

In your reaction you started with a solution that was approximately 8 M acetic acid and 4 M isopentyl alcohol. Use the equilibrium expression for this reaction to calculate the final concentrations of water, isopentyl acetate, isopentyl alcohol, and acetic acid (you'll need to use the quadratic equation to solve this expression) assuming that the equilibrium constant is 4.2. Calculate the percent yield of isopentyl acetate to which this value would correspond.

Answers

The final concentrations of water, isopentyl acetate, isopentyl alcohol, and acetic acid obtained on using equilibrium expression are 3.4M, 3.4M, 0.6M , 4.6M

Using ICE table:-

      Acetic acid  +  Isopentyl alcohol   ------>    Isopentyl acetate +  water

I         8M                   4M                                           0                           0

C        8-x                   4-x                                          +x                          +x                      

E        8-x                   4-x                                          +x                          +x

Equilibrium constant (Keq) = 4.2

On using the equilibrium expression -

Keq = [Product] / [Reactant]

Keq = x^2 / (8-x) (4-x )

4.2  =  x^2 / 32 - 8x - 4x + x^2

    x =  3.4

Concentration of acetic acid  = 8-x = 8-3.4 = 4.6M

Concentration of isopentyl alcohol = 4-x = 4-3.4 = 0.6M

Concentration of isopentyl acetate = x = 3.4M

Concentration of water = x = 3.4M

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Help me ASAP please!!!

Answers

The concentration of the sodium hydroxide will be 0.016 M

Stoichiometric problem

First, the concentration of the diluted nitric acid needs to be found.

m1 = 2.0 M,  v1 = 100 mL, v2 = 300.0 mL

m2 = 2 x 100/300 = 0.6667 M

The equation of the reaction goes thus: [tex]HNO_3 + NaOH = NaNO_3 + H_2O[/tex]

The mole ratio is 1:1.

Mole of 0.6667 M, 7.05 mL HNO3 = 0.6667 x 0.00705 = 0.0047 mol

Equivalent mole of NaOH = 0.0047 mol

Molarity of 0.0047 mol, 30.0 mL NaOH = 0.0047/0.3 = 0.016 M

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A mixture of water and acetone boils at 1.25 atm will boil at 348.15K. Given the vapor pressure of acetone (1.58 atm) and water(0.312 atm), what is the composition of the solution in terms of mole fraction of each chemical present

Answers

A mixture of water and acetone boils at 1.25 atm will boil at 348.15K. Given the vapor pressure of acetone (1.58 atm) and water(0.312 atm). 5.06 is the composition of the solution in terms of mole fraction of each chemical present.

What is Raoult's Law ?

Raoult's Law is a nonvolatile solute lowers the vapour pressure of the solvent.

It is expressed as:

[tex]P_{\text{soln}} = x_{\text{solvent}} P_{\text{solvent}}[/tex]

where,

[tex]P_{\text{sol}[/tex] = vapor pressure of the solution

[tex]x_{\text{solvent}}[/tex] = mole fraction of the solvent

[tex]P_{\text{solvent}}[/tex] = vapor pressure of the pure solvent

Now put the values in above expression, we get

[tex]P_{\text{soln}} = x_{\text{solvent}} P_{\text{solvent}}[/tex]

[tex]x_{\text{solvent}} = \frac{P_{\text{soln}}}{P_{\text{solvent}}}[/tex]

            [tex]= \frac{1.58}{0.312}[/tex]

            = 5.06

Thus from the above conclusion we can say that A mixture of water and acetone boils at 1.25 atm will boil at 348.15K. Given the vapor pressure of acetone (1.58 atm) and water(0.312 atm). 5.06 is the composition of the solution in terms of mole fraction of each chemical present.

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CONCLUSIONS: Suppose a student titrated a sample of monoprotic acid of unknown concentration using a previously standardized solution of NaOH. volume of 0.125 M NaOH dispensed 24.68 mL volume of acid solution 50.00 mL Given the data in the table above, what is the concentration of the unknown acid?

Answers

Concentration of unknown acid is 0.061 M

Given:

Concentration of NaOH = 0.125 M

Volume of NaOH = 24.68 mL

Volume of acid solution = 50.00 mL

To Find:

Concentration of the unknown acid

Solution: Concentration is the abundance of a constituent divided by the total volume of a mixture. The concentration of the solution tells you how much solute has been dissolved in the solvent

Here we will use the formula for concentration:

M1V1 = M2V2

0.125 x 24.68 = 50 x M2

M2 = 0.125 x 24.68 / 50

M2 = 0.061 M

Hence, the concentration of unknown acid is 0.061 M

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Determine the molar mass of a 0.314-gram sample of gas having a volume of 1.6 l at 287 k and 0.92 atm. show your work.

Answers

As per Ideal gas equation, molar mass of the gas is 5.032 g/mo

We’ll begin by calculating the number of mole of the gas. This can be obtained as follow:

Volume (V) = 1.6 L

Temperature (T) = 287 K

Pressure (P) = 0.92 atm

Gas constant (R) = 0.0821 atm.L/Kmol

Number of mole (n) =?

According to Ideal gas equation , PV = nRT

0.92 × 1.6 = n × 0.0821 × 287

1.472 = n × 23.5627

Divide by 23.5627

n = 1.176 / 23.5627

n = 0.0624 mole

Finally, we shall determine the molar mass of the gas. This can be obtained as follow:

Mass of gas = 0.314 g

Number of mole = 0.0624 mole

Mole = [tex]\frac{mass}{molar mass}[/tex]

0.0624 = [tex]\frac{0.314}{molar mass}[/tex]

Cross multiply

0.0624 × molar mass of gas = 0.314

Divide by 0.0624

Molar mass of gas =  [tex]\frac{0.314}{0.0624}[/tex]

Molar mass of gas = 5.032 g/mo

Therefore the Molar mass of gas is 5.032 g/mo

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