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.

... Delta S = N k Log[(alpha V - N b)/(V - N b)]. Unlike in case of the ideal gas, the temperature during free expansion of the van der Waals gas will change. ...

Thermal Expansion of a Gas. There is a small amount of water at the bottom of a sealed container of volume 6.9 liters which is otherwise full of an ideal gas. ...

During the quasistatic isothermal expansion of a monoatomic ideal gas, how is the change in entropy related to the heat input Q by the simple formula: ΔS = Q/T ...

... From ideal gas equation: Where is the absolute pressure [Pa ... substance of gas [mol] is the gas constant is ... temperature [K] Since we ignore the expansion of the ...

... capacities for ideal gases One mole of an ideal, monoatomic gas undergoes the following processes: For reversible isothermal expansion of an ideal gas, ΔU = 0 ...

... of the gas will decrease as it expands adiabatically; the final temperature after an adiabatic expansion is R V T ... For an ideal monatomic gas, 3 CV = R ...

... fission bomb consists of a sphere of gas radius 15 m and a temperature 3E5 K. Assuming that the expansion is adiabatic ... We start with the ideal gas equation. ...