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expansion of ideal gas

An ideal gas at STP (1 atm and 0°C) is taken through a process where the volume is expanded from 25 L to 50 L. During this process the pressure varies inversely as the volume squared, so that P = 0.2 alpha/V^2

(a) Determine the constant alpha in standard SI units.

(b) Calculate the number of moles of gas present.

(c) Find the final temperature and pressure of the gas.

(d) Determine the work done by the gas during this process of expansion.

Solution Preview

I've attached a pdf file. Unfortunately the resolution is not really that good, so, if I'm including the latex source file here:

An ideal gas at STP (1 atm and 0$^{circ}$C) is taken through a process where the volume is expanded from 25 L to 50 L. During this process the pressure varies inversely as the volume squared, so that $P = 0.2alpha V^{-2} $

section{Determine the constant $alpha$ in standard SI units}

If you don't see how the value of $alpha$ has to be determined, you should try to see what happens if you choose a completely arbitrary value for $alpha$. Then try to see if you get any contradictions with the facts stated in the questions. Maybe you'll find that there exists ...

Solution Summary

A detailed solution is given using the ideal gas law.

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