Carbon dioxide gas in a piston–cylinder assembly expands from an initial state where p1 60 lbf/in.2 , V1 1.78 ft3 to a final pressure of p2 20 lbf/in.2 The relationship between pressure and volume during the process is pV1.3 constant. For the gas, calculate the work done, in Convert your answer to Btu.

The amount of Work done during the process = 0.01026 BTU

Explanation:

Initial Pressure () = 60

Initial volume ( )= 1.78

Final Pressure () = 20

Final Volume ( ) = We have to calculate.

The relationship between pressure and volume during the process is = P

⇒ × = ×

⇒ =

⇒ =

⇒ = 2.33

⇒ = 2.33 × 1.78

⇒ = 4.147 ------------ (1)

The work done during the process is given by W =

Put all the values in the above formula we get

⇒ W =

⇒ W = 79.54 lb f

We know that 1 lb f = 0.00129 BTU

⇒ W = 0.01026 BTU

This is the amount of Work done during the process in BTU

the correct choice is a .

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