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

Question

An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 8,000 g and an area of 5.00 cm2 and is free to slide up and down, keeping the pressure of the gas constant.
(a) How much work is done on the gas as the temperature of 0.155 mol of the gas is raised from 30.0°C to 255°C?
J

(b) What does the sign of your answer to part (a) indicate?
The surroundings do positive work on the gas.
There is no work done, by the gas or the surroundings.
The gas does positive work on its surroundings.

Explanation / Answer

Number of moles n = 0.155 Temeprature raise dt = 255 - 30 = 225 o C Work done W = p dV = nR dt Since PV = nRT p dV = nR dT = 0.155 x 8.314 x 225 = 289.95 J (b). Positive (c).i.e., work is done by the gas

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