Work done in Isothermal Process: Consider a 1gm mole of an ideal gas enclosed in a cylinder with perfectly conducting walls and fitted with a perfectly frictionless and conducting piston.
Mathematical Expression (Work done in Isothermal Process)
If A is the area of cross section of the piston, then force exerted by the gas on the piston is :
F = P.A
If the piston displaced outward through small displacement dx, then the small amount of work done:
dW = F.dx
or dW = P.(A.dx)
or dW = P.dV
Therefore, the total work done by the gas in expansion from V1 to V2 is given by :
& total amount of heat absorbed can be calculated as:
Q = amount of heat absorbed (calories).
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