What are the values of q$,$ w$,\backslash$Delta U$,\backslash$Delta H$,\backslash$Delta S$,\backslash$Delta Ssurr, and $\backslash$Delta Suniv for the following constant pressure process for a system containing $0\mathrm{.}679$ moles of CH$3$OH $?$

CH$3$OH$($g$,120\mathrm{.}0$C$,1\mathrm{.}00$ atm$)$

CH$3$OH$($l$,28\mathrm{.}0$C$,1\mathrm{.}00$ atm$)$

Assume that CH$3$OH$($g$)$ behaves as an ideal gas and the volume of CH$3$OH$($l$)$ is much less than that of CH$3$OH$($g$).$ Also, assume that the temperature of the surroundings is $28\mathrm{.}0$C$.$

Data:

Molar heat capacity for CH$3$OH$($g$),$ Cp$,$m $=44\mathrm{.}1$ J K$1$ mol$1$

Molar heat capacity for CH$3$OH$($l$),$ Cp$,$m $=81\mathrm{.}1$ J K$1$ mol$1$

Enthalpy of vaporization, $\backslash$Delta vapH $=35\mathrm{.}2$ kJ mol$1$ at $64\mathrm{.}7$C and $1\mathrm{.}00$ atm

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

q $=$ J

w $=$ J

Delta U $=$ J

Delta H $=$ J

Delta S $=$ J K$1$

Delta Ssurr $=$ J K$1$

Delta Suniv $=$ J K$1$