In an industrial process the volume of 25.0 mol of a monatomic
ideal gas is reduced at a uniform rate from 0.616 m3 to 0.308 m3 in
2.00 h while its temperature is increased at a uniform rate from
27.0°C to 450°C. Throughout the process, the gas passes through
thermodynamic equilibrium states. What are

(a) the cumulative
work done on the gas,

(b) the cumulative energy absorbed by the
gas as heat, and

(c) the molar specific heat for the process?

(Hint:To evaluate the integral for the work, you might use an indefinite integral.)

Suppose the process is replaced with a twostep process that reaches the same final state. In step 1, the gas
volume is reduced at constant temperature, and in step 2 the temperature
is increased at constant volume. For this process, what are

(d) the cumulative work done on the gas,

(e) the cumulative energy
absorbed by the gas as heat, and

(f) the molar specific heat for the
process?