A pistoncylinder device initially contains 08 m3 of ideal ga

A piston-cylinder device initially contains 0.8 m3 of ideal gas at 50 kPa and 25C. The ideal gas is now compressed isothermally (temperature is constant) until pressure reaches 200 kPa. The kinetic and potential energy changes are negligible. (a) Determine the boundary work done on the system and (b) determine the heat loss during this isothermal compression process.

Solution

V1=0.8m^3 p1=50kpa T1=25°c =298k

P2=200kpa

For isothermal process

a)boundary work W1-2 =p1v1 ln (p1/p2)

W1-2=50×0.8×ln (50/200)

W1-2= -55.452 kj(-sing indicates work done on the system)

B) heat loss

For isothermal process du=0

So Q=W

Q=-55.452 kj