Nitrogen is contained in a cylinder behind a moveable piston as shown in Fig. E2

Question

Nitrogen is contained in a cylinder behind a moveable piston as shown in Fig. E2-1. The initial volume is 0.0001 m^3 , the initial pressure is 1.0 MPa, the initial temperature is 25 degrees Celcius, and the specific gas constant, R, is equal to 0.297 kJ/kgK. The gas obeys the ideal gas equation of state, PV=MRT. The gas expands to a volume of 0.001 m^3 on a quasi-equilibrium process such that the product PV= const. ( an isothermal process )

(a) What is the mass of the gas contained in the cylinder behind the piston? (Ans: 1.29 x 10^-3 kg)

(b) How much work is done as the gas expands? ( Ans: 0.2303 kJ)

Please so the steps the the problem.

Explanation / Answer

(a) PV =nRT n = PV/RT = 1.1299 gm (b) for an isothermal process work done by the gas = nR*T*ln(V2/V1) = 230.26 J = 0.2303 kJ

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