Answer to Question #5546 in Molecular Physics | Thermodynamics for cncrowell

Question

One mole of the ideal gas is initially at 4 atm
and 2 L. As the gas is slowly heated, the
plot of its state on a PV diagram moves in a
straight line to the state 5 atm and 7 L.
Find the work done by the gas.
Answer in units of kJ

Answer 1

The work done by the gas

Density as a function of volume - is linear:

Let’s find the necessary constants.

So we have

Note that

Answer: 2.28kJ