0 problem 4 consider cylinder with movable piston containing moles of an ideal gas the entire ap

First, we know that the work done by the gas on the external body is given by the equation W = n

Question

Problem 4: Consider a cylinder with a movable piston containing 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 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 ideal gas law as follows: pV = nRT, where R is the gas constant. Part (a) Write an expression for the work Wv done by the gas on the external body: W = nRT ln(V2/V1). Part (b) For n = 4 moles, T = 295 K, and V2 = 4.5V1, determine the work done by the gas on the external body: The gas constant is R = 8.314 J/(K mol).

          Problem 4: Consider a cylinder with a movable piston containing 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 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 ideal gas law as follows:
pV = nRT, where R is the gas constant.

Part (a) Write an expression for the work Wv done by the gas on the external body: W = nRT ln(V2/V1).

Part (b) For n = 4 moles, T = 295 K, and V2 = 4.5V1, determine the work done by the gas on the external body: The gas constant is R = 8.314 J/(K mol).

Added by Eric S.

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