Dual$-$Mode Sorption. Based upon the dual mode sorption parameters shown below for CH$4$ and n$-$C$4$H$10$ sorption into

poly$(1-$trimethylsilyl$-1-$propyne$)($PTMSP$),$ calculate:

A$.$ the gas concentration, in units of cm$3($STP$)/$cm$3($polymer$),$ of pure CH$4$ at a fugacity of $10$ atm and $35$oC$.$

B$.$ the gas concentration, in units of cm$3($STP$)/$cm$3($polymer$),$ of pure n$-$C$4$H$10$ at a fugacity of $0\mathrm{.}5$ atm and $35$oC$.$

C$.$ the concentrations of CH$4$ and n$-$C$4$H$10$ in the polymer when the polymer is exposed to a gas mixture in which

the CH$4$ fugacity is $10$ atm and the n$-$C$4$H$10$ fugacity is $0\mathrm{.}5$ atm.

Note: The dual mode parameters kD and b$,$ shown below, are based on the dual mode model written in terms of fugacity Dual$-$Mode Sorption. Based upon the dual mode sorption parameters shown below for $C{H}_4$ and $n-C_4{H}_{10}$ sorption into

poly$(1-$trimethylsilyl$-1-$propyne$)($PTMSP$),$ calculate:

A$.$ the gas concentration, in units of $c{m}^3\frac{STP}{c}{m}^3($polymer$),$ of pure $C{H}_4$ at a fugacity of $10$ atm and $35C.$

B$.$ the gas concentration, in units of $c{m}^3\frac{STP}{c}{m}^3($polymer$),$ of pure $n-C_4{H}_{10}$ at a fugacity of $0\mathrm{.}5$ atm and $35C.$

C$.$ the concentrations of $C{H}_4$ and $n-C_4{H}_{10}$ in the polymer when the polymer is exposed to a gas mixture in which

the $C{H}_4$ fugacity is $10$atm and the $n-C_4{H}_{10}$ fugacity is $0\mathrm{.}5$atm.

Note: The dual mode parameters $k_D$ and $b,$ shown below, are based on the dual mode model written in terms of fugacity

$($rather than pressure$)$ since, particularly in the gas mixture case, the ideal gas model is a poor assumption,