The minimal energy of photons that can be absorbed at the edges of the visible radiation range is approximately 3.11 eV for violet light and 1.77 eV for red light.
The edges of the visible radiation range are typically defined by the wavelengths of approximately 400 nm (violet) and 700 nm (red). To calculate the minimal energy of photons that can be absorbed at these edges, we can use the energy-wavelength relationship for photons:
[tex]\[ E = \frac{hc}{\lambda} \][/tex]
where \( E \) is the energy of the photon, \( h \) is the Planck's constant[tex](\( 6.626 \times 10^{-34} \, \text{J s} \))[/tex] , \( c \) is the speed of light [tex](\( 3.00 \times 10^{8} \, \text{m/s} \)[/tex]), and [tex]\( \lambda \)[/tex]is the wavelength of the photon.
First, we convert the wavelength values to meters:
[tex]\( \lambda_{\text{violet}} = 400 \, \text{nm} = 400 \times 10^{-9} \, \text{m} \)\( \lambda_{\text{red}} = 700 \, \text{nm} = 700 \times 10^{-9} \, \text{m} \)[/tex]
Now, we can calculate the minimal energies:
[tex]\( E_{\text{violet}} = \frac{hc}{\lambda_{\text{violet}}} \)\( E_{\text{red}} = \frac{hc}{\lambda_{\text{red}}} \)[/tex]
Substituting the values:
[tex]\( E_{\text{violet}} = \frac{6.626 \times 10^{-34} \, \text{J s} \times 3.00 \times 10^{8} \, \text{m/s}}{400 \times 10^{-9} \, \text{m}} \)[/tex]
[tex]\( E_{\text{red}} = \frac{6.626 \times 10^{-34} \, \text{J s} \times 3.00 \times 10^{8} \, \text{m/s}}{700 \times 10^{-9} \, \text{m}} \)[/tex]
Calculating these values:
[tex]\( E_{\text{violet}} \approx 4.97 \times 10^{-19} \, \text{J} \)[/tex]
[tex]\( E_{\text{red}} \approx 2.83 \times 10^{-19} \, \text{J} \)[/tex]
Finally, to convert the energies to electron volts (eV), we use the conversion factor:
[tex]\( 1 \, \text{eV} = 1.602 \times 10^{-19} \, \text{J} \)[/tex]
Converting the energies:
[tex]\( E_{\text{violet}} \approx \frac{4.97 \times 10^{-19} \, \text{J}}{1.602 \times 10^{-19} \, \text{J/eV}} \approx 3.11 \, \text{eV} \)[/tex]
[tex]\( E_{\text{red}} \approx \frac{2.83 \times 10^{-19} \, \text{J}}{1.602 \times 10^{-19} \, \text{J/eV}} \approx 1.77 \, \text{eV} \)[/tex]
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earth orbits the sun once every 365.25 days. find the average angular speed of earth about the sun.
earth orbits the sun once every 365.25 days. find the average angular speed of earth about the sun.
99×10−7 rad/s.
Identify the type of indirect evidence scientists investigate to learn what local climates were like in the distant PAST.
A.
current weather data
B.
tree rings
C.
current rainfall
D.
wind patterns
B. tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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2 evidences of rectilinear propagation off light
Define Tension in a string?
Answer:
Tension is the pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements
A cat knocks a 0.01kg toy mouse across the floor. If it travels 5m and the cat does 7J of work, how much force did the cat exert on the mouse?
1.4N
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W = Fd
7J = F * 5m
The force exerted by the cat on the toy mouse is 1.4N
The amount of work done is 7J
The displacement experienced by the object is 5m
We know that work done (W) = Force (F) × Displacement (D)
W= F×D
7= F×5
Therefore, F=7/5
F= 1.4N
Therefore, the force exerted on the object is 1.4N
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When sound waves are traveling in a medium, the energy is transferring
up and down
left to right
in and out
all around
When sound waves are traveling in a medium, the energy is transferring all around.
Option D is the correct answer
What is sound energy?Sound is the movement of energy through a substance – like air or water and it is caused by vibrations.
Sound wave is an example of a mechanical wave because it requires material medium for its propagation.
A wave is a vibration or disturbance that travels from one point to another and carries energy.
The movement of this sound wave, when it transfers energy from one point of medium to another is known as sound wave propagation.
Thus, we can conclude that during the propagation of sound waves, energy is transferred to the entire medium.
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We have two stacks of styrofoam cups. One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for a stack with a height of 50 cm?.
The averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
By average, what do you mean?The average is calculated by taking the total number of values in a given set and dividing it by the sum of all the values. The average of a group of values in a sample of data is what is referred to as a mean. The arithmetic mean is another name for an average, in other words. The term "mean" describes the average.
Given in the question,
total number of stacks = 2
Stack 1 has 6 cups of height, h1 = 15cm
Stack 2 has 12 cups of height h2 = 23cm
calculating the average: h1 - h2/ n1 - n2
= 15-23/6-12
= - 8/-6
=4/3
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3) = 50 × 3/4
= 150/4
= 37.5
Because the averages of stacks one and two differ, there isn't a direct relationship between the number of cups and the stack's height.
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Explain in detail the change in energy tore when a ball of dough i dropped onto a kitchen counter
Dropping a ball of dough onto a kitchen counter, its energy store of potential energy is converted into kinetic energy as it falls. Upon impact, the kinetic energy is converted into potential, thermal, and sound energy.
When a ball of dough is dropped onto a kitchen counter, there is a change in the energy store of the dough. Initially, the dough has potential energy due to its position above the counter. As the dough is dropped, this potential energy is converted into kinetic energy, or energy of motion. As the dough falls, it gains speed and thus increases in kinetic energy.
When the dough strikes the counter, the kinetic energy is converted into a combination of potential energy and thermal energy. The dough compresses and deforms upon impact, increasing its potential energy. The compression and deformation also generates heat, which increases the thermal energy of the dough. A portion of the kinetic energy is also converted into sound energy as the dough makes contact with the counter.
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what would happen if the weight of people increased on a roller coaster?
The thing which would happen if the weight of people increased on a roller coaster is that it will make it harder for it to slow down.
What is Weight?This is referred to as the force acting on the object due to gravity and it is denoted as W= mg where m is mass and g is acceleration due to gravity.
We should note that the larger the mass, the larger the momentum, and the more force you need to change it. Weight however does not make a roller coaster go faster but it does make it harder to slow down which is therefore the reason why it was chosen as the correct choice.
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How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.2 m/s2?
A.
11,386 N
B.
40,992 N
C.
147,571 N
D.
2,324 N
The amount of force that is needed to accelerate the airplane is 40,992 N.
option B is the correct answer.
How much force is needed to accelerate the airplane?The amount of force that is needed to accelerate the airplane is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
a is the acceleration of the airplanem is the mass of the airplaneThe amount of force that is needed to accelerate the airplane is calculated as follows;
F = ( 9,760 kg ) x ( 4.2 m/s² )
F = 40,992 N
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233kg car is traveling at 12 m/s what is kinetic energy of the car ?
Answer: 33,992 J (Joules)
Explanation:
The kinetic energy of an object is the energy it possesses due to its motion. The formula for kinetic energy is: Kinetic energy = 1/2 x mass x velocity^2
So, for a 233 kg car traveling at 12 m/s, the kinetic energy can be calculated as:
Kinetic energy = 1/2 x 233 kg x (12 m/s)^2
= 1/2 x 233 kg x 144 m^2/s^2
= 33,992 J (Joules)
It is important to note that the unit of energy is Joules (J).
In this case, the car has 33,992 Joules of kinetic energy. This energy represents the ability of the car to do work, such as causing damage if it collides with an object, or to overcome a force such as friction or air resistance. Kinetic energy increases with the mass of the object and the square of its velocity.
Silver has a resistivity of 1.6 x 10
m. If you make a silver wire that's 10
m long with an area of 3 x 10-6 m², what is the wire's resistance? (4 points)
Explanation:
click on the image and thats your answer
What is the momentum of a child and wagon if the total mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s?.
The momentum of a child and wagon if the total mass of the child and wagon given is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.
What is momentum and its S.I Unit?The product of an object's mass and velocity is its momentum (p=mv). It has both a magnitude and a direction, making it a vector quantity.Momentum's S.I. unit is 'kg⋅m/s'Solution:Given:
Mass collectively=22 kg
velocity= 1. 5 m/s
To find momentum we use the formula for momentum which is;
p=mv
Putting the values we get
p= 22*1.5
p=33 kg⋅m/s
Hence, The momentum of a child and wagon when the total given mass of the child and wagon is 22 kg and the velocity is 1. 5 m/s is 33 kg⋅m/s.
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If you are initially driving at a peed of 30 km/h with a contant acceleration of 2. 0 m/2. Determine
how much time, in econd, it will take you to reach a peed of 60 km/h?
In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².
Initial speed, u = 30 km/h
Final speed, v = 60 km/h
Constant acceleration, a = 2.0 m/s²
Converting the initial speed in m/sec = 30 × 5/18
u = 75/9 m/s
Converting the final speed in m/sec = 60 × 5/18
v = 150/9 m/s
By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.
v = u + at
t = (v-u)/a
t = [(150/9) - (75/9)]/2
t = 4.16 sec.
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As the first five elements in group 15 are considered in order of increasing atomic number, first ionization energy.
The first ionization energy in group 15 elements in increasing atomic number decreases.
What is ionization energy?Ionization energy is the amount of energy requires to detach one electron from the atom. In the periodic table the ionization energy decreases as one goes down.
Therefore ionization energy is the quantity of energy that an isolated, gaseous atom in the ground electronic state must absorb to discharge an electron resulting in a cation. This energy is usually expressed in kJ/mol or the amount of energy it takes for all the atoms in a mole to lose one electron each.
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How is a "viscous fluid" different from a "liquid"?
Answer: A viscous fluid is thicker and more difficult to pour than a typical liquid, while a liquid is a substance that has a definite volume but no fixed shape and can flow to conform to the shape of its container. ✅
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A body falls freely from rest on Earth (g= - 10 m/s)
1. The displacement at t = 3 sis -45 m
2. The time for it to reach a speed of 25 m/s is I $
3. The time to fall 320 m is 8 s.
4. The speed after falling 80 m is m/s.
1. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values, we get d = -1/2 (-10 m/s) (3 s)^2 + 0 m/s (3 s) + 0 m = -45 m.
2. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). Plugging in the values and setting v = 25 m/s, we get 25 m/s = (-10 m/s)t + 0 m/s. Solving for t, we get t = 2.5 s.
3. The displacement of a body falling freely from rest at time t seconds is given by the formula d = -1/2 gt^2 + vt + d0, where g is the acceleration due to gravity (in this case, -10 m/s), v is the initial velocity (in this case, 0 m/s), and d0 is the initial displacement (in this case, 0 m). Plugging in the values and setting d = -320 m, we get -320 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 8 s.
4. The speed of a body falling freely from rest at time t seconds is given by the formula v = gt + v0, where g is the acceleration due to gravity (in this case, -10 m/s) and v0 is the initial velocity (in this case, 0 m/s). To find the speed after falling 80 m, we need to find the time t that corresponds to this displacement. We can use the formula for displacement to find t: d = -1/2 gt^2 + vt + d0. Plugging in the values and setting d = -80 m, we get -80 m = -1/2 (-10 m/s) t^2 + 0 m/s t + 0 m. Solving for t, we get t = 2 s. Plugging this value of t back into the formula for speed, we get v = (-10 m/s) (2 s) + 0 m/s = -20 m/s.
5. The acceleration of an object is given by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time elapsed. In this case, the initial velocity is -20 m/s and the time elapsed is 1 s. The final velocity is not given, so we cannot use this formula to find the acceleration.
6. The displacement of an object with constant acceleration is given by the formula d = 1/2 at^2 + vt + d0, where a is the acceleration, v is the initial velocity, t is the time elapsed, and d0 is the initial displacement. In this case, the acceleration is -10 m/s^2, the initial velocity is -20 m/s, the time elapsed is 4 s.
What is speed?
Speed is a measure of how fast an object is moving. It is defined as the distance an object travels per unit of time. In equation form, speed is represented by the letter v and is equal to the distance d traveled divided by the time elapsed t: v = d/t. The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h). For example, if a car travels a distance of 200 meters in 10 seconds, its speed is v = 200 m / 10 s = 20 m/s.
Therefore, the correct answer is as given above
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helpp!! Which of the following statements about the independent variable are correct?
a.The independent variable is mentioned in the hypothesis.
b.Scientists adjust the dependent variable to see its impact in the independent variable.
c.The independent variable is manipulated by the scientist.
d.The independent variable is held constant during an experiment.
e.A hypothesis predicts a relationship between the independent and dependent variable.
The statements about the independent variable that are correct are:
The independent variable is mentioned in the hypothesis.The independent variable is manipulated by the scientist.A hypothesis predicts a relationship between the independent and dependent variables.The correct option are A, C, and E.
What are independent and dependent variables?A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, could be an independent variable.
The dependent variable is the variable that is being measured in an experiment
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Calculate the number of atoms in a \pu{67. 5 mg}67. 5 mg67, point, 5, space, m, g sample of \ce{sr}srs, r.
1. Convert the mass of \pu{67.5 mg}67.5 mg67, point, 5, space, m, g to grams: 67.5 mg = 0.0675 g
2. Calculate the molar mass of \ce{sr}srs, r:Molar mass of \ce{sr}srs, r = 87.62 g/mol
What is molar mass?Molar mass is a measure of the amount of mass contained in one mole of a given substance. It is expressed in grams per mole (g/mol) and is numerically equal to the atomic or molecular weight of the substance. The molar mass of a substance is calculated by adding together the atomic masses.
3. Calculate the number of moles:
n = m/M = 0.0675 g/87.62 g/mol = 0.0007704 mol
4. Calculate the number of atoms:
Number of atoms = n x Avogadro's number
= 0.0007704 x 6.022 x 10^23
= 4.24 x 10^20 atoms
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Lations, some variation of the question "s/decimals do I have to include in my mes up. By converting all of your numbers on you will always have 3 significant digits in You can choose to rep in standard notation, ju are included.
Perform the following calculations and report your answer with three
101,455,348 - 1,111,419 = 91300000000000
0.000000612 X 0.00031119 = 1.9e-10
297,060 + 0.0004839 = 61400000000
The following calculations in standard notation is 9.13[tex]e_{1}[/tex], 1.90[tex]e^{-10}[/tex], 6.14[tex]e^{8}[/tex].
A standard form of a number in maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.
Write the first number from the given number. Add the decimal point after the first number. Now, count the number of digits after the first number from the given number and write it in the power of 10.The following calculations and report your answer with three
101,455,348 ÷ 1,111,419 =91.28452
=91.28452 ( in real numbers)
=9.13×[tex]10^{1}[/tex] (Scientific notation)
=9.13[tex]e^{1}[/tex]
Therefore, the answer is 9.13[tex]e_{1}[/tex].
(ii). 0.000000612 × 0.00031119 = 0.000000000190
=0.000000000190 ( in real numbers)
=1.90×[tex]10^{-10}[/tex] (in scientific notation)
=1.90[tex]e^{-10}[/tex]
Therefore, the answer is 1.90[tex]e^{-10}[/tex].
(iii). 297,060 + 0.0004839 =613900000
=613900000 ( in real numbers)
=6.14×[tex]10^{8}[/tex] (in scientific notation)
=6.14[tex]e^{8}[/tex]
Therefore, the answer is 6.14[tex]e^{8}[/tex].
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A 4-kg toy car travels 3m/s. What’s it’s KE? What would be it KE if we doubled its velocity? How about tripled?
The kinetic energy of toy car is 18J. When it's velocity doubled, K.E is 72J and it's velocity tripled, then K.E is 162J.
Why is kinetic energy inversely associated with velocity?A moving object's kinetic energy is inversely proportional to its mass and to the square of its velocity. Similarly, an objects with equivalent mass and speed will have double the kinetic energy as one with double the mass and speed will have four times the kinetic energy.
Kinetic energy(K.E) = 1/2 mv^2
Mass of toy = 4Kg
V= 3m/s
K.E => 1/2 x 4 x 3^2
=> 18J
If velocity doubled, which means the new velocity = 6m/s
K.E => 1/2 x 4 x 6^2
=> 72J
If velocity tripled, which means the new velocity = 9m/s
K.E => 1/2 x 4 x 9^2
=> 162J
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If a negatively charged rod is held near an uncharged metal ball, the metal ball?1. becomes positively charged.2. becomes negatively charged.3. Unable to determine.4. is unaffected.5. becomes polar.
The correct option is 2 because The negatively charged rod will induce a small amount of negative charge on the surface of the uncharged metal ball, causing a force of attraction between the two.
Is Earth positively or negatively charged?Although Earth is electrically neutral, its interior and crust each have a different charge. In clouds, the top face is negatively charged while the bottom face is positively charged.
Lightning has a negative charge, right?About 90 to 95 percent of all lightning that you ever witness is negative lightning, which occurs when an ions is transported from a cloud to the ground. Positive lightning, on the other hand, occurs as a result of the positive charge that accumulates at the cloud's top.
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What do scientists use to divide the geologic time scale?
Major changes in mineral deposits in the rock layers
Evidence for catastrophic events in Earth's history
Major divisions in the fossil records
Major divisions in the sedimentary rock layers
The thing that scientists use to divide the geologic time scale is option C: Major divisions in the fossil records
What is the fossil records about?Fossils are the remains or traces of ancient organisms that have been preserved in rock layers. Scientists study fossils to learn about the history of life on Earth, and the different types of fossils found in different rock layers can provide information about the different time periods in which those organisms lived.
Other methods, such as major changes in mineral deposits in the rock layers, evidence for catastrophic events in Earth's history, and major divisions in the sedimentary rock layers, can also provide information about different time periods, but the use of fossils is the main method for dividing the geologic time scale.
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A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone. Which conic section is formed?.
Answer:
Hyperbola
Explanation:
Hyperbola: When the plane intersects the double napped cone such that the angle between the vertex and the angle is less than the vertex angle, the resulting conic section in the form of an open curve is called a hyperbola.
The motion of an object moving with uniform circular motion is always to the circle, so the speed of an object moving in a circle is known as speed.
The motion of an object moving with uniform circular motion is always tangent to the circle, so the speed of an object moving in a circle is known as the tangential speed..
Uniform circular motion is the motion of an object in a circular path with a constant speed and the direction of velocity is perpendicular to the direction of acceleration. Examples of objects that experience uniform circular motion are wheels and clockwise motion where these objects have a constant linear speed, constant angular velocity, and constant centripetal acceleration. The speed in the circular motion of the object is also called the tangential speed where the object is moving in a circle in the direction of offending its spin path.
Centripetal acceleration is the acceleration directed towards the center of the circle. this centripetal acceleration that makes the wheel and clockwork move in a circle because they are accelerating towards the center of the circle.
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In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0. 053 nm around a stationary proton.
The orbital speed of the electron using the equation is 5.41 x 10^7 m/s.
What is orbital speed?Orbital speed is the speed of an object in orbit around a larger body, such as a planet or star. The speed of an object in orbit is determined by two factors: the mass of the central body and the distance of the object from the central body. If a body is more massive, the object in orbit must move faster to maintain its orbit. Similarly, if an object is closer to the central body, it must move faster to remain in orbit. Orbital speed is usually measured in kilometers per second (km/s). The orbital speed of Earth’s Moon, for example, is 1.022 km/s. Orbital speed is an important factor in space exploration, as spacecraft must achieve certain speeds to reach distant destinations.
The orbital speed of the electron can be calculated using the equation:
V = (2πr)/T
where r is the radius of the orbit, and T is the orbital period.
Assuming the orbital period is 2.2 x 10^-17 s, the orbital speed of the electron is:
V = (2π x 0.053 x 10^-9 m)/(2.2 x 10^-17 s) = 5.41 x 10^7 m/s
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How many oxygen atoms are in one mole of O2 molecules?
2 oxygen atoms
Solution — 1 molecule of O2 = 2 oxygen atoms So, 1 mole of O2 = 2 mole oxygen atoms = 2 × 6.022 × 1023 = 12.044 ×1023 oxygen atoms.
There are 12.046×10²³ molecules in one mole of O₂ gas.
Each molecule of oxygen has 2 atoms. Avogadro explained that at constant pressure and volume there are certain number of molecules in one mole of gas, irrespective of the type of gas. The number of molecules in 22.4 L of any gas is 6.023 × 10²³. This constant is known as avogadro constant. This is one of the most important constant in the chemistry. If the atomic weight of a gas is 35. It means 35 is the weight of the one mole of gas or of 6.023 × 10²³ molecules of that gas. Atomic weight of any gas is the weight of a fixed number of molecules, which is determined by the avogadro's number. So the number of molecules in one mole of O₂ gas = 2 × 6.023 × 10²³
= 12.046×10²³
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A student performs an experiment to determine the volume of hydrogen gas produced when a given mass.
A student performs an experiment to determine the volume of hydrogen gas produced when a given mass.
To determine the volume of hydrogen gas produced in a chemical reaction, the student likely performed a series of steps. Here is an example procedure that the student may have followed
Measure the mass of the reactant that will produce the hydrogen gas.Prepare the apparatus by filling a gas collection tube with water and inverting it over a water bath.Add the reactant to the reaction vessel, which may be a flask or test tube.Seal the reaction vessel and start a stopwatch to record the reaction time.Observe the gas bubbles rising through the water in the collection tube.Once the reaction has completed, stop the stopwatch and measure the volume of gas collected in the tube.Adjust the volume measurement for temperature and pressure, if necessary, using the ideal gas law.Hence, by following this procedure, the student should be able to determine the volume of hydrogen gas produced when a given mass of reactant is used. This information can then be used to calculate the stoichiometry of the reaction, determine reaction rate, or make other useful observations about the chemical system under study.
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Please label whether the
acceleration is positive, zero, or
negative:
A-B:
B-C:
C-D
Answer:
A-B: positive
B-C: zero
C-D: negative
Explanation:
In a velocity-time graph, acceleration is shown by the slope or steepness of the graph. A positive acceleration means that the line of the slope is upward, while a negative acceleration means that the line of the slope is downwards.
A horizontal line shows that the acceleration is 0, which means that the object is stationary.
Superman hits a stationary golf ball. The club and
ball are in contact for 0.01 seconds. Afterward, the
ball has momentum with a magnitude of 10 kg-m/s.
What was the average collision force?
It strikes the wall normally with a velocity of v₁ = 30 m/s and rebounds with a velocity of v₂ = -20 m/s. We know that impulse is equal to the change in momentum. So, So, the impulse of the force exerted by the wall on the ball is 5 kg m/s.
a)x²+x+1=0
x=b±√b²-4ac/2a
x=-1±√-3/2=-1±√3i/2
b) z=-1/2+i√3/2
x=-1/2 y=√3/2 lies
r=√x²+y²=√1/4+3/4-1
sin∅=√3/2 cos∅=-1/2
tan∅=√-3
since Z lies in Q 2nd arg(Z)=π-∅
∅=π-π/3=2π/3
Z=r(cos∅+isin∅)
=1(cos 2π/3+isin2π/3)
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