$(30$ points$)$ Review the turbine$-$

generator system in the schematic

below. $0\mathrm{.}7$ MW of power is needed

to supply an electrical grid, and the

steam turbine receives power in the

form of heat from a furnace $($not

pictured$).$ The furnace burns fuel at

a rate of $1\mathrm{.}5$ MW to provide the

required electrical power.

$($a$)(4$ points$)$ Determine the overall efficiency of this entire system.

$($b$)(4$ points$)$ Determine the efficiency of the combustion process to convert fuel to heat.

$($c$)(4$ points$)$ Determine the power input to the turbine.

$($d$)(8$ points$)$ If the turbine blades spin at $2000$ RPM$,$ determine the torque transmitted to the

generator.

$($e$)(10$ points$)$ Show the energy transfers through the entire system on an energy flow diagram.

Be sure to indicate all forms of energy and conversion devices involved.