Physics WORK DONE ON COMPRESSING A GAS

Calculation of Work Done by Gas

Let P and V be the pressure and volume of a gas. If A be the area of the piston, then force exerted by gas on the piston is,

`F = P xxA`

Let the piston moves 'dx' distance during the expansion of the gas. Work done by gas in the small displacement is

`dW =F dx=P Adx`

Since change in volume is dV = A dx

`dW=PdV`

`W=int_(V_1)^(V_2)PdV`

Graphical Interpretation

From above integral it can be understood that area enclosed by PV-curve and V-axis represents the work done by gas.

 
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