For each scenario, choose the equation that you would use to calculate the work.

1. A rapid isothermal expansion of an ideal gas initially at 5 atm against 1 atm pressure.

2. A very slow isothermal expansion of an ideal gas at 5 atm in a diathermic balloon to a final pressure of 1 atm.

3. A rapid compression of an ideal gas intially at 1 atm by 5 atm of pressure.

4. A very slow compression of an ideal gas at 5 atm in an adiabatic balloon to a final pressure of 1 atm.

We can't calculate the work because we do not have enough information. w=nRTlnViVfw=(5atm)Vw=(1atm)V