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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 8,000 g and an area of 5.00 cm 2 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 0.180 mol of the gas is raised from 15.0 ° C to 350 ° C? J

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 0.180 mol of the gas is raised from 15.0°C to 350°C? 
 J 

Grade:12

1 Answers

Rituraj Tiwari
askIITians Faculty 1792 Points
9 months ago
First law of thermodynamics gives us the relation.
q=ΔU+w
w=q−ΔU
For a constant pressure process,
q=nCp​ΔT
ΔU=nCv​ΔT(always)
Hence,w=n(Cp​−Cv​)ΔT=nRΔT=0.2×8.314×(300−20)=466J

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