(A) According to the kinetic theory of gases,the pressure $P$ is given by $P = \frac{1}{3} \rho v_{rms}^2$. The internal energy per unit volume $E$ is

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(A) According to the kinetic theory of gases,the pressure $P$ is given by $P = \frac{1}{3} \rho v_{rms}^2$. The internal energy per unit volume $E$ is given by $E = \frac{1}{2} \rho v_{rms}^2$. By comparing these two equations,we can write $P = \frac{2}{3} (\frac{1}{2} \rho v_{rms}^2) = \frac{2}{3} E$.

Class 11 Chemistry States of Matter Kinetic molecular theory of gases and Molecular collisions

Medium

Internal energy and pressure for unit volume of gas are related by

A
$P = \frac{2}{3} E$
B
$P = \frac{3}{2} E$
C
$P = \frac{1}{3} E$
D
$P = 2 E$

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Class 11

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States of Matter

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Kinetic molecular theory of gases and Molecular collisions

Which one of the following is the wrong assumption of the kinetic theory of gases?

EasyJEE MAIN 2013

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Give two unfair assumptions of the Kinetic Molecular Theory of gases. Justify them.

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At $T$ $K$, the ratio of kinetic energies of $4$ $g$ of $H_{2(g)}$ and $8$ $g$ of $O_{2(g)}$ is

EasyTS EAMCET 2013

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At $T(K)$,the $u_{rms}$ of $CO_2$ is $412 \ ms^{-1}$. What is its kinetic energy (in $kJ \ mol^{-1}$) at the same temperature? $(CO_2 = 44 \ u)$.

MediumAP EAMCET 2025

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Assuming ideal behaviour,the ratio of kinetic energies of $3 \ g$ of $H_2$ and $4 \ g$ of $O_2$ at any temperature is

MediumKVPY 2009

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Internal energy and pressure for unit volume of gas are related by

Similar Questions

Which one of the following is the wrong assumption of the kinetic theory of gases?

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