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Q. No.In an ideal gas at a temperature \(T,\) the average force that a molecule applies on the walls of a closed container depends on \({T}\) as \({T}^q .\) A good estimate for \({q}\) is
1. \(\frac{1}{4}\)
2. \(2\)
3. \(\frac{1}{3}\)
4. \(1\)
1. \(\frac{1}{4}\)
2. \(2\)
3. \(\frac{1}{3}\)
4. \(1\)
Subtopic: Kinetic Energy of an Ideal Gas |
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If \(10^{22}\) gas molecules each of mass \(10^{-22}\) kg collide with a surface (perpendicular to it) elastically per second over an area \(1~\text{m}^2\) with a speed \(10^4~\text{m/s}\), the pressure exerted by the gas molecules will be of the order of:
1. \( 10^8 ~\text{N/m}^2\)
2. \(10^4 ~\text{N/m}^2\)
3. \(10^{16} ~\text{N/m}^2\)
4. \(10^3 ~\text{N/m}^2\)
Subtopic: Kinetic Energy of an Ideal Gas |
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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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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. \(1:1\)
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
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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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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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 \(2\) K 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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