In an industrial process the volume of 25.0 moles of amonoatomic gas is reduced at a uniform rate from 0.616m3 to 0.308 m3 in 2.00 h while itstemperature is increased at a uniform rate from 27.0 deg C to 450deg C. Throughout the process, the gas passes throughthermodynamic equilibrium states.
a) Plot the cumulative work done on the gas and the cumulativeenergy absorbed by the gas as heat as a function of time for theduration of the process.
b) What are the values of these quantities for the entireprocess?
c) What is the molar specific heat for the process? (hint: to evaluate the integral for work, you might use
Integral[ (a + bx)/(A + Bx)dx ] = (bx)/B + (aB -bA)/B2 ln(A + Bx),
an indefinite integral).
d) Compare these values with those that would be obtained if thevolume is first reduced at a constant temperature, then thetemperature is increased at constant volume, with the gas reachingthe same final state.