If 6.00 moles of a monatomic ideal gas at a temperature of 235 L are expanded isothermally from a volume of 1.26 L to a volume of 4.08 L. How would you calculate the work (W) done by the gas?
You would do it like this:
There is no change in the internal energy of an ideal gas during an isothermal process - the temperature is constant.
The 1st Law of Thermodynamics tells us that all the heat added to the system is used to do work.
At a constant temperature the work integral is:
So the integral can now be written:
Integrating and putting in the limits gives:
Putting in the numbers (I assume you mean 235 K):
I can use litres instead of