(C) For an ideal gas,the Mayer's relation is given by $C_p - C_v = R$.In state $A$,$C_p - C_v = 1.00 R$,which implies the gas behaves as an ideal gas

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(C) For an ideal gas,the Mayer's relation is given by $C_p - C_v = R$.In state $A$,$C_p - C_v = 1.00 R$,which implies the gas behaves as an ideal gas in this state.In state $B$,$C_p - C_v = 1.06 R$,which is not equal to $R$,implying the gas deviates from ideal behavior in this state.Real gases approach ideal behavior at high temperatures and low pressures.Since state $A$ is closer to ideal behavior than state $B$,it must be at a higher temperature and lower pressure compared to state $B$.Therefore,$P_A T_B$.

Class 11 Physics Kinetic Theory of Gases Mean Free Path and Real Gases

Difficult

The value of $C_p - C_v = 1.00 R$ for a gas in state $A$ and $C_p - C_v = 1.06 R$ in another state $B$. If $P_A$ and $P_B$ denote the pressure and $T_A$ and $T_B$ denote the temperature in the two states,then:

A
$P_A = P_B; T_A > T_B$
B
$P_A > P_B; T_A = T_B$
C
$P_A < P_B; T_A > T_B$
D
$P_A = P_B; T_A < T_B$

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Kinetic Theory of Gases

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Mean Free Path and Real Gases

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Medium

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DifficultJEE MAIN 2025

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Consider an ideal gas at pressure $p$, volume $V$ and temperature $T$. The mean free path for molecules of the gas is $L$. If the radius of gas molecules, as well as pressure, volume and temperature of the gas are doubled, then the mean free path will be

MediumTS EAMCET 2019

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Gases begin to conduct electricity at low pressure because

Easy

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If the pressure of a real gas $O_{2}$ in a container is given by $P = \frac{RT}{2V - b} - \frac{a}{4b^{2}}$, then the mass of the gas in the container is: (in $\text{ g}$)

MediumWBJEE 2021

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The value of $C_p - C_v = 1.00 R$ for a gas in state $A$ and $C_p - C_v = 1.06 R$ in another state $B$. If $P_A$ and $P_B$ denote the pressure and $T_A$ and $T_B$ denote the temperature in the two states,then:

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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 ideal gas behavior. The variation of $\frac{PV}{RT}$ with $P$ is shown in the diagram. The correct variation will correspond to

The mean free path and the average speed of oxygen molecules at $300 \ K$ and $1 \ atm$ are $3 \times 10^{-7} \ m$ and $600 \ m/s$,respectively. Find the frequency of its collisions.

Consider an ideal gas at pressure $p$, volume $V$ and temperature $T$. The mean free path for molecules of the gas is $L$. If the radius of gas molecules, as well as pressure, volume and temperature of the gas are doubled, then the mean free path will be

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