# 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 $\frac{\mathrm{PV}}{\mathrm{RT}}$ 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 |
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The figure below shows the graph of pressure and volume of a gas at two temperatures ${\mathrm{T}}_{1}$ and ${\mathrm{T}}_{2}$. 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 |
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An ideal gas is initially at temperature T and volume V. Its volume increases by $∆\mathrm{V}$ due to an increase in temperature $∆\mathrm{T}$, pressure remaining constant. The quantity $\mathrm{\delta }=∆\mathrm{V}/\left(\mathrm{V}∆\mathrm{T}\right)$ varies with temperature as:

 1 2 3 4
Subtopic:  Ideal Gas Equation |
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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 |
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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 ${\mathrm{O}}_{2}$ molecule to that per ${\mathrm{N}}_{2}$ 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 |
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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 |
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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 |
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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 |
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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 |
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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 J mol-1 K-1)
1. $$a=16b$$
2. $$b=16a$$
3. $$a=4b$$
4. $$a=b$$

Subtopic:  Specific Heat |
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