11:59:00 PM (14%) Problem 3: Consider a cylinder with a movable piston containin

Question

11:59:00 PM (14%) Problem 3: 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 ideal gas law as follows P p, Isothermal,T pV-nRT, where R is the gas constant. P2 Otheexpertta.com 50% Part (a) Write 50% Part (b) For n = R 8.314 JK-1 mol. an expression for the work W done by the gas on the external body 9 moles, T= 290 K, and V2-3.5VI, determine the work done by the gas on the external body. The gas constant is Grade Summary 0% 100% Potential cotan asin acos atan0 acotanO sinh0 cosh tanhO cotanh0 Attempts remaining: 5 (4 per attempt detailed view 0 °Degrees Radians Submit Hints: for a 0%deduction. Hints remaining Feedback: deduction per feedback.

Explanation / Answer

Part (a)

For isothermal expansion work done is given by

W=nRTln(Vfinal/Vinitial)=nRTln(V2/V1)

Part (b)

Putting the values we got

W=27184.3 J

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