Two rigid containers and are filled with ideal gases and are connected by a thin tube…

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

Two rigid containers AA and BB are filled with ideal gases and are connected by a thin tube fitted with a stop-cock. The details are: Container AA : volume 1.80 L1.80\,\text{L}, temperature 320 K320\,\text{K}, pressure 1.20×105 Pa1.20\times10^{5}\,\text{Pa}, gas = argon. Container BB : unknown volume VBV_B, temperature 290 K290\,\text{K}, pressure 0.90×105 Pa0.90\times10^{5}\,\text{Pa}, gas = neon. The stop-cock is opened momentarily so that a small amount of gas can pass until the number of molecules in each container becomes equal. The temperature and pressure in each container remain unchanged during the brief exchange. (a) Show that the final condition implies VAPA/TA=VBPB/TBV_A P_A /T_A = V_B P_B /T_B. (b) Using the data given, calculate the volume VBV_B of container BB. (c) How many moles of gas are finally present in each container?

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