For n = 3 moles, T = 310 K, and V2 = 3.5V1, determine the work done by the gas on the external body. The gas constant is R = 8.314 J K-1 mol-1.
Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T Kelvin. The piston pushes slowly outward on an external body which matches the force momentarily at each instant so that the gas expands quasi-statically from a volume V1 to V2 at constant temperature T. The isothermal process is shown in the figure above, where the pressure p is related to the volume V by the
pV = nRT, where R is the gas constant.
Q: For n = 3 moles, T = 310 K, and V2 = 3.5V1, determine the work done by the gas on the external body. The gas constant is R = 8.314 J K-1 mol-1.
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