A movable piston having a mass of 8.00 kg and a cross-sectional area of 5.00 cm2 traps 0.430 moles of an ideal gas in a vertical cylinder. If the piston slides without friction in the cylinder, how much work is done on the gas when its temperature is increased from 17°C to 297°C?

Question

Mango

Physics

6 August, 15:14

A movable piston having a mass of 8.00 kg and a cross-sectional area of 5.00 cm2 traps 0.430 moles of an ideal gas in a vertical cylinder. If the piston slides without friction in the cylinder, how much work is done on the gas when its temperature is increased from 17°C to 297°C?

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Ronan Keller · Answer 1

We can assume the process to be adiabatic such that we can make use of the formula:

W = R (T2 - T1) / (γ - 1)

W = 8.314 (297 - 17) / (1.4 - 1)

W = 700 J/mole

multiplying the number of moles

W = 700 (0.43)

W = 301 J

The work done is 301 J.