$12\mathrm{.}9$ A closed, rigid tank having a volume of $0\mathrm{.}1m^3$ contains $0\mathrm{.}7$ kg of $N_2$ and $1\mathrm{.}1$ kg of $C{O}_2$ at $27C.$ Determine

a$.$ the analysis of the mixture in terms of mass fractions.

b$.$ the analysis of the mixture in terms of mole fractions.

c$.$ the partial pressure of each component, in bar.

d$.$ the mixture pressure, in bar.

e$.$ the heat transfer, in kJ $,$ required to bring the mixture to $127C.$

f$.$ the entropy change of the mixture for the process of part $($e$)$ in $k\frac{J}{K}.$