# 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?

##### 1 Answer

Dec 28, 2016

You would do it like this:

#### Explanation:

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