Q. No.The helium and argon are put in the flask at the same room temperature \((300 ~\text K).\) The ratio of average kinetic energies (per molecule) of helium and argon is: (Give: Molar mass of helium \({= 4 ~\text{g/mol},} \) Molar mass of argon \(= 40 ~\text{g/mol} \))
1. \(10:1\)
2. \(1:1\)
3. \(1:10\)
4. \(1:\sqrt{10}\)
1. \(10:1\)
2. \(1:1\)
3. \(1:10\)
4. \(1:\sqrt{10}\)
Subtopic: Kinetic Energy of an Ideal Gas |
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The temperature of a gas is \(-78^{\circ} \) and the average translational kinetic energy of its molecules is \(K.\) The temperature at which the average translational kinetic energy of the molecules of the same gas becomes \(2K\) is:
| 1. | \(-39^{\circ} \mathrm{C}\) | 2. | \(127^{\circ} \mathrm{C}\) |
| 3. | \(-78^{\circ} \mathrm{C}\) | 4. | \(117^{\circ} \mathrm{C}\) |
Subtopic: Kinetic Energy of an Ideal Gas |
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Find the total kinetic energy of \(1\) mole of oxygen gas at \(27^{\circ} \text{C}. \left[\text {Take } R=\frac{25}{3} \text{J} / \text{mol}\text{-K}\right]\)
1. \(6250~\text{J}\)
2. \(3125~\text{J}\)
3. \(12500~\text{J}\)
4. \(625~\text{J}\)
1. \(6250~\text{J}\)
2. \(3125~\text{J}\)
3. \(12500~\text{J}\)
4. \(625~\text{J}\)
Subtopic: Kinetic Energy of an Ideal Gas |
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A gas mixture consists of eight moles of oxygen and four moles of nitrogen at the same temperature \(T.\) Then the total internal energy of the gas is:
1. \(60RT\)
2. \(15RT\)
3. \(30RT\)
4. \(90RT\)
1. \(60RT\)
2. \(15RT\)
3. \(30RT\)
4. \(90RT\)
Subtopic: Kinetic Energy of an Ideal Gas |
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The kinetic energy of \(O_2\) gas at temperature \(300~\text K\) is:
1. \(10.35 \times 10^{-21}~\text{J/molecule}\)
2. \( 9.35 \times 10^{-22}~\text{J/molecule}\)
3. \(20.70 \times 10^{-21} ~\text{J/molecule}\)
4. \(10.70 \times 10^{-21}~\text{J/molecule}\)
1. \(10.35 \times 10^{-21}~\text{J/molecule}\)
2. \( 9.35 \times 10^{-22}~\text{J/molecule}\)
3. \(20.70 \times 10^{-21} ~\text{J/molecule}\)
4. \(10.70 \times 10^{-21}~\text{J/molecule}\)
Subtopic: Kinetic Energy of an Ideal Gas |
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The ratio of temperature in \(\mathrm{K}\) of hydrogen and oxygen is \(2:1\). The ratio of their average kinetic energy per molecule is:
1. \(6:1\)
2. \(1:6\)
3. \(2:1\)
4. \(1: 2\)
1. \(6:1\)
2. \(1:6\)
3. \(2:1\)
4. \(1: 2\)
Subtopic: Kinetic Energy of an Ideal Gas |
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A flask contains argon and oxygen in the ratio of \(3:2\) in mass and the mixture is kept at \(27^\circ\mathrm{C}\). The ratio of their average kinetic energy per molecule respectively will be:
1. \(3:2\)
2. \(9:4\)
3. \(2:3\)
4. \(1:1\)
1. \(3:2\)
2. \(9:4\)
3. \(2:3\)
4. \(1:1\)
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\(0.056~\text{kg}\) of Nitrogen is enclosed in a vessel at a temperature of \(127^\circ \text C.\) The amount of heat required to double the speed of its molecules is:
(take \(R = 2 ~\text{cal mole}^{-1}\text{K}^{-1}\))
1. \(10~\text{Kcal}\)
2. \(12~\text{Kcal}\)
3. \(14~\text{Kcal}\)
4. \(16~\text{Kcal}\)
(take \(R = 2 ~\text{cal mole}^{-1}\text{K}^{-1}\))
1. \(10~\text{Kcal}\)
2. \(12~\text{Kcal}\)
3. \(14~\text{Kcal}\)
4. \(16~\text{Kcal}\)
Subtopic: Kinetic Energy of an Ideal Gas |
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Following statements are given :
(i) The average kinetic energy of a gas molecule decreases when the temperature is reduced.
(ii) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.
(iii) The average kinetic energy of a gas molecule decreases with increases in volume.
(iv) Pressure of a gas increases with increase in temperature at constant pressure.
(v) The volume of gas decreases with increase in temperature.
Choose the correct answer from the options given below :
1. (i) and (iv) only
2. (i), (ii) and (iv) only
3. (ii) and (iv) only
4. (i), (ii) and (v) only
(i) The average kinetic energy of a gas molecule decreases when the temperature is reduced.
(ii) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.
(iii) The average kinetic energy of a gas molecule decreases with increases in volume.
(iv) Pressure of a gas increases with increase in temperature at constant pressure.
(v) The volume of gas decreases with increase in temperature.
Choose the correct answer from the options given below :
1. (i) and (iv) only
2. (i), (ii) and (iv) only
3. (ii) and (iv) only
4. (i), (ii) and (v) only
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At what temperature (in \(^\circ \text C\)) does the average translational kinetic energy of gas molecules become equal to the kinetic energy of an electron accelerated from rest through a potential difference of \(0.1 ~\text V?\)
(Given \({k}_{B}=1.38\times10^{-23}~\text{J/K},\) round off to the nearest integer).
1. \(400^\circ\text C\)
2. \(500^\circ\text C\)
3. \(200^\circ\text C\)
4. \(300^\circ\text C\)
(Given \({k}_{B}=1.38\times10^{-23}~\text{J/K},\) round off to the nearest integer).
1. \(400^\circ\text C\)
2. \(500^\circ\text C\)
3. \(200^\circ\text C\)
4. \(300^\circ\text C\)
Subtopic: Kinetic Energy of an Ideal Gas |
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