Problem $2$

Superheated steam at $780$ K and $3$ MPa enters a steady$-$state turbine with a mis flow rate of $\backslash (500\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The steam leaves the turbine at $560$ K and $0\mathrm{.}7$ MPa $.$ The turbine is not well insulated, resulting in a heat$-$transfer rate of $660$ kW to the atmosphere,

a$)$ Determine the power delivered by the turbine in MW$.$

b$)$ Determine the ratio of the heat loss rate to the shaf power expressed as a percentage,

c$)$ Solve the problem again, including the kinetic energies associated with the inlet and exit streams, where $\backslash ($ V$\_\{1\}=85\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$V$\}\_\{2\}=25\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Determine the percentages of the shaf power represented by the kinetic energy rates at the inlet and outlet, respectively