Final answer:
The work done on a gas mixture during compression at constant pressure can be calculated with the formula W = -PΔV, and then converting from liters-atmospheres to joules using the conversion factor.
Step-by-step explanation:
To calculate the work done on a gas mixture compressed at constant pressure, you can use the formula W = -PΔV, where W is the work done on the gas, P is the constant external pressure, and ΔV is the change in volume. Here, the change in volume (ΔV) is 62.0 L - 80.0 L = -18.0 L, which indicates a compression since the volume decreases. To find the work done in liters-atmospheres, we multiply the pressure (24.0 atm) by the change in volume in liters.
Then, to convert the work into joules, we use the conversion factor 1 L⋅atm = 101.325 J. Therefore, the work done in joules is -24.0 atm × -18.0 L × 101.325 J/L⋅atm, which can be simplified and calculated accordingly.