A container holds a mixture of two ideal gases in thermal equilibrium

PHYSICS · Subjective · CBSE · Physics · Kinetic Theory · Kinetic Theory

Problem

A container holds a mixture of two ideal gases in thermal equilibrium. Species A has mass mAm_{A} and number density nAn_{A}; species B has mass mBm_{B} and number density nBn_{B}. Both species share the same mean square speed ⟨v2⟩\langle v^{2}\rangle. (a) Write an expression for the total pressure PtotP_{\text{tot}} on one wall in terms of nA, nB, mA, mB,n_{A},\,n_{B},\,m_{A},\,m_{B}, and ⟨v2⟩\langle v^{2}\rangle. (b) Determine the fraction of PtotP_{\text{tot}} that is contributed by species B.

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