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The pressure of a gas inside a piston cylinder assembly can be found by reading

ID: 1855523 • Letter: T

Question

The pressure of a gas inside a piston cylinder assembly can be found by reading the manometer as indicated in the figure. The manometer gage fluid is water, and it is open to the atmosphere on one end. Initially, the volume in the piston-cylinder assembly is 0.35 m3. During an adiabatic process, energy is added to the fluid by the spinning paddle wheel inside the cylinder until the volume is doubled. The pressure remains constant throughout the process. Please do the following: Find the pressure inside the cylinder. Define your system and system boundaries. Indicate any/all work or heat transfer between the system and its surroundings in your drawing. Find the energy transfer by work due to the piston. How much energy is added to the system by the paddle wheel if the internal energy increases by 8 kJ?

Explanation / Answer

(a)pressure inside cylinder = Po + (rho)gh = 101.325 + 1*9.8*.1 = 102.305 kPa

(b)system is the piston+cylinder containing gas, and boundaries are the walls of the container

(d) work done by piston = P(v2-v2) = p*V = 102305*.35 = 35.8 kJ

(e) enegry added = 8 + 35.8 = 43.8 kJ

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