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Question: Two gases of equal mass are in thermal equilibrium. If \(P_{a},P_{b}\) and \(V_{a}\) and \(V_{b}\) a...

Two gases of equal mass are in thermal equilibrium. If Pa,PbP_{a},P_{b} and VaV_{a} and VbV_{b} are their respective pressures and volumes, then which relation is true

A

Pa≠Pb;Va=VbP_{a} \neq P_{b};V_{a} = V_{b}

B

Pa=Pb;Va≠VbP_{a} = P_{b};V_{a} \neq V_{b}

C

PaVa=PbVb\frac{P_{a}}{V_{a}} = \frac{P_{b}}{V_{b}}

D

PaVa=PbVbP_{a}V_{a} = P_{b}V_{b}

Explanation

Solution

(d)

Sol. Thermal equilibrium implies that the temperature of gases is same. Hence Boyle’s law is applicable PaVa=PbVbP_{a}V_{a} = P_{b}V_{b}