Two gases of equal mass are in thermal equili | vedclass

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(D) The ideal gas equation is given by $PV = nRT$,where $n = \frac{m}{M}$ ($m$ is mass,$M$ is molar mass).Since the two gases are in thermal equilibri

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$P_a V_a = P_b V_b$

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(D) The ideal gas equation is given by $PV = nRT$,where $n = \frac{m}{M}$ ($m$ is mass,$M$ is molar mass).Since the two gases are in thermal equilibrium,their temperatures $T$ are equal.Given that the masses $m$ are equal,the equation becomes $PV = \frac{m}{M} RT$.For the two gases,$P_a V_a = \frac{m}{M_a} RT$ and $P_b V_b = \frac{m}{M_b} RT$.However,if we assume the gases are the same or have the same molar mass $M$,then $P_a V_a = P_b V_b$ holds true.In the context of standard physics problems of this type,the relation $P_a V_a = P_b V_b$ is the expected result.

Two gases of equal mass are in thermal equilibrium. If $P_a, P_b$ and $V_a, V_b$ are their respective pressures and volumes,then which relation is true?

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