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

$\overline{){\mathbf{w}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{-}}{\mathbf{P}}{\mathbf{\u2206}}{\mathbf{V}}}$

w = work, J

P = pressure, atm

ΔV = change in volume = V_{final} – V_{initial}_{ }

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?

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Based on our data, we think this problem is relevant for Professor Navarro Eisenstein's class at GSU.