# Problem: To illustrate how to use the equation for PV work, let's imagine a bicycle pump. We will assume that the air in the bicycle pump can be approximated as an ideal gas in a piston. We can do work on the air in the pump by compressing it. Initially, the gas has a volume of 3.00 L. We apply a constant external pressure of 1.10 atm to push down the handle of the bike pump until the gas is compressed to a volume of 2.50 L. How much work did we do on the gas?

###### FREE Expert Solution

We are being asked to calculate the amount of work done on the ideal gas. Work can be calculated using the following equation:

w = work, J
P = pressure, atm
ΔV = change in volume = Vfinal – Vinitial

80% (300 ratings) ###### Problem Details

To illustrate how to use the equation for PV work, let's imagine a bicycle pump. We will assume that the air in the bicycle pump can be approximated as an ideal gas in a piston. We can do work on the air in the pump by compressing it. Initially, the gas has a volume of 3.00 L. We apply a constant external pressure of 1.10 atm to push down the handle of the bike pump until the gas is compressed to a volume of 2.50 L. How much work did we do on the gas?