A container of fixed volume V has a tiny hole through which gas canenter or leav

Question

A container of fixed volume V has a tiny hole through which gas canenter or leave. The container is filled with an ideal gas at thesame temperature and pressure p as the surrounding room air. Theinitial temperature is Ti and the initial number ofmolecules of ideal gas in the container is Ni. Thetemperature of the container is increased by heating the outsideuntil the final temperature is Tf = 2.90Ti. As the temperature increases, the number ofmolecules remaining in the container decreases until the finalnumber is Nf = f Ni, where f is adimensionless factor. What is the factor f by which the number ofmolecules changes?

Explanation / Answer

we know that ideal gas equation:
           PV = NRT And: Tf = 2.90Ti we know that Nf/Ni =Ti/Tf when P, V , R beconstants                                = Ti/ 2.90Ti                             f = 1/2.90                             f = 1/2.90

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