solve An ideal gas is enclosed in a cylinder with a movable piston on top of it.

Question

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An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 7.950 g and an area of 4.60 cm^2 and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of 0.180 mol of the gas is raised from 22.0 degree C to 320 degree C? Consider the following figure. (The x axis is marked in of 2.5 m^3.) Determine the work done on a gas that expands from i to F an indicated in the figure. How much work is performed on the gas if it is compressed from i along the same path?

Explanation / Answer

the work-done is calculated as follows:

W = nR[T2 - T1] = 0.18*8.314*[320-22] =445.96296 J = 446 J

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