The figure below shows the graph of pressure and volume of a gas at two temperatures T1 and T2. Which one, of the following, inferences is correct?

 

1. \(\mathrm{T}_1>\mathrm{T}_2\)
2. \(\mathrm{T}_1=\mathrm{T}_2\)
3. \(\mathrm{T}_1<\mathrm{T}_2\)
4. No inference can be drawn

Subtopic:  Ideal Gas Equation |
 85%
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An ideal gas is initially at temperature T and volume V. Its volume increases by V due to an increase in temperature T, pressure remaining constant. The quantity δ=V/VT varies with temperature as:

1. 2.
3. 4.
Subtopic:  Ideal Gas Equation |
 57%
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Which one, of the following, graphs represents the behaviour of an ideal gas at constant temperature?

1. 2.
3. 4.
Subtopic:  Ideal Gas Equation |
 78%
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An experiment is carried out on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PVRT with P is shown in the diagram. The correct variation will correspond to: (Assuming that the gas in consideration is nitrogen)

1. Curve A 2. Curve B
3. Curve C 4. Curve D
Subtopic:  Ideal Gas Equation |
 58%
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A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at \(300\) K. The ratio of the average rotational kinetic energy per O2 molecule to that per N2 molecule is:

1. 1 : 1
2. 1 : 2
3. 2 : 1
4. depends on the moments of inertia of the two molecules

Subtopic:  Law of Equipartition of Energy |
 71%
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The root mean square speed of the molecules of a diatomic gas is \(v\). When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is:

1. \(\sqrt{2}v\) 2. \(v\)
3. \(2v\) 4. \(4v\)
Subtopic:  Types of Velocities |
 68%
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Two containers of equal volumes contain the same gas at pressures \(P_1\) and \(P_2\) and absolute temperatures \(T_1\) and \(T_2\), respectively. On joining the vessels, the gas reaches a common pressure \(P\) and common temperature \(T\). The ratio \(\frac{P}{T}\) is equal to:

1. \(\frac{P_1}{T_1}+\frac{P_2}{T_2}\) 2. \(\frac{P_1T_1+P_2T_2}{(T_1+T_2)^2}\)
3. \(\frac{P_1T_2+P_2T_1}{(T_1+T_2)^2}\) 4. \(\frac{P_1}{2T_1}+\frac{P_2}{2T_2}\)
Subtopic:  Ideal Gas Equation |
 52%
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The average translational kinetic energy of \(O_2\) (molar mass \(32\)) molecules at a particular temperature is \(0.048~\text{eV}\). The translational kinetic energy of \(N_2\) (molar mass \(28\)) molecules in \(\text{eV}\) at the same temperature is:
1. \(0.0015\)
2. \(0.003\)
3. \(0.048\)
4. \(0.768\)

Subtopic:  Kinetic Energy of an Ideal Gas | Types of Velocities | Law of Equipartition of Energy |
 82%
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The translatory kinetic energy of a gas per \(\text{g}\) is:

1. \({3 \over 2}{RT \over N}\) 2. \({3 \over 2}{RT \over M}\)
3. \({3 \over 2}RT \) 4. \({3 \over 2}NKT\)
Subtopic:  Kinetic Energy of an Ideal Gas |
 62%
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For hydrogen gas \(C_P-C_V=a\) and for oxygen gas \(C_P-C_V=b\) where molar specific heats are given. So the relation between \(a\) and \(b\) is given by:
(where \(C_P\) and \(C_V\) in \(\text{J mol}^{-1}\text{K}^{-1}\))
1. \(a=16b\)
2. \(b=16a\)
3. \(a=4b\)
4. \(a=b\)

Subtopic:  Specific Heat |
 64%
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