To calculate the work done in a gas, we can use the PV work formula, which is the Pressure - Volume work formula:
w = - Pexternal * ΔV
where:
w = work
-P external = the constant external pressure
ΔV = the volume change
w = -50.0 atm * (95.0 - 92.0)
w = -50.0 atm * 3.00 L
w = -150.0 L atm
The conversion from L atm to Joule is:
1 L atm = 101.325 Joules
- 150 * 101.325
w = -15198.75 J or -15 Kj