Example $1$:

A binary vapour cycle operates on mercury and steam. Standard mercury vapour at $4\mathrm{.}5$ bar is supplied to the mercury turbine from which it exhausts at $0\mathrm{.}04$ bar. The mercury condenser generates saturated steam at $15$ bar which is expanded in a steam turbine to $0\mathrm{.}04$ bar. Determine the over$-$all efficiency of the cycle. If $\backslash (48,000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$hr$\}\backslash )$ of steam flows through the steam turbine, what is the flow through the mercury turbine? How much work is produced in the cycle? If the steam leaving the mercury condenser is superheated to a temperature of $300\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ in a superheater located in the mercury boiler and if the internal efficiencies of the mercury and steam turbines are $\backslash (84\backslash \%\backslash )$ and $\backslash (88\backslash \%\backslash ),$ respectively, calculate the over$-$all efficiency.