# PV diagram problem

1. Dec 12, 2014

### athula kumara

1. The problem statement, all variables and given/known data

A reversible engine contains 0.20 mol of ideal monatomic gas, initially at 600 K and confined to 2.0 L. The gas undergoes the following cycle:
Isothermal expansion to 4.0 L.
Isovolumic cooling to 300 K.
Isothermal compression to 2.0 L.
Isovolumic heating to 600 K.

Calculate the net heat added during the cycle.

I calculated heat add using Q=CvV(P1-P2)/R . I used that equation for two isovolumic process and got the difference
I got 750j, it is wrong, why?

Calculate the net work done during the cycle.

I used W=nRT ln(V1/V2) for isothermal and P(V1-V2) for isothermal compression
asd got the differnce. answer was 190 J again it wrong

2. Relevant equations

3. The attempt at a solution

2. Dec 12, 2014

### Staff: Mentor

You'll have to give more details of your calculations.

3. Dec 12, 2014

### Andrew Mason

What is the change in internal energy over one complete cycle? What does that tell you about the relationship between net heat flow and work?

Calculate the work done/on the gas in the isothermal expansion and compression parts and relate that to the net heat flow. Is work done during the isochoric heating and cooling?

AM