Question

What are the values of q, w, ΔU, ΔH, ΔS, ΔS_surr, and ΔS_univ for the following constant pressure process for a system containing 0.414 moles of CH₃OH ?

CH₃OH(g, 121.0 ºC, 1.00 atm)  ⟶  CH₃OH(l, 33.0 ºC, 1.00 atm)

Assume that CH₃OH(g) behaves as an ideal gas and the volume of CH₃OH(l) is much less than that of CH₃OH(g). Also, assume that the temperature of the surroundings is 33.0 ºC.

Data:

Molar heat capacity for CH₃OH(g), C_p,m = 44.1 J K⁻¹ mol⁻¹

Molar heat capacity for CH₃OH(l), C_p,m = 81.1 J K⁻¹ mol⁻¹

Enthalpy of vaporization, Δ_vapH = 35.2 kJ mol⁻¹ at 64.7 ºC and 1.00 atm

Enter answers that are accurate to three (3) or more significant figures.

Answer 1