11. We can do work on the air in the pump by compressing it. Initially, the gas has a volume of 200
cm3. We apply a constant external pressure of 2.0 atm to push down the handle of the bike
pump until the gas is compressed to a volume 150 cm3. How much work did we do on the gas?
Express it in Joules.
The work done by the mixture during the compression is W=∫V2V1pdV. With the adiabatic condition of Equation 3.7. 14, we may write p as K/Vγ, where K=p1Vγ1=p2Vγ2.
