Adiabatic frictionless processes in an ideal gas 

(a) A gas that obeys the ideal gas law may deviate appreciably from C_p = constant. Hence rework Example 11.4-6 using a molar heat capacity expression of the form C_p = a + bT + cT² 

(b) Determine the final pressure, P2, required if methane (CH₄) is to be heated from 300K and 1 atm to 800K by adiabatic frictionless compression. The recommended empirical constants for methane are: a = 2.322 cal/g-mole ∙ K, b = 38.04 x 10^-3 cal/g-mole ∙ K² and c = – 10-97 x 10^-6 cal/g-mole ∙ K³.