An approximate expression for the compressibility of methane at moderate pressures The specific heat at low pressure is cp = α + βT (α = 19.87 J/mol K and β = 0.05 J/ mol K2 ). An insulated...

An approximate expression for the compressibility of methane at moderate pressures

The specific heat at low pressure is cp = α + βT (α = 19.87 J/mol K and β = 0.05 J/ mol K2 ). An insulated cylinder–piston assembly contains 2 kmol of methane at 500 kPa and 290 K. The methane is compressed to 2000 kPa and 350 K. a. Find the dependence of cp on pressure and temperature. b. Find the work of the process.