At constant volume,the pressure of a gas is d | vedclass

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(A) From the kinetic theory of gases,the pressure $P$ is given by $P = \frac{1}{3} \rho \langle v^2 \rangle$.Since the density $\rho = \frac{M}{V}$,we

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The total internal energy of the gas

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(A) From the kinetic theory of gases,the pressure $P$ is given by $P = \frac{1}{3} \rho \langle v^2 \rangle$.Since the density $\rho = \frac{M}{V}$,we have $P = \frac{1}{3} \frac{M}{V} \langle v^2 \rangle$.Multiplying and dividing by $2$,we get $P = \frac{2}{3V} (\frac{1}{2} M \langle v^2 \rangle)$.Here,$E = \frac{1}{2} M \langle v^2 \rangle$ represents the total internal kinetic energy of the gas molecules.Thus,$P = \frac{2}{3} \frac{E}{V}$.For a constant volume $V$,the pressure $P$ is directly proportional to the total internal energy $E$ of the gas molecules.

At constant volume,the pressure of a gas is directly proportional to:

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