$($b$)$ A large two stroke supercharged diesel engine is used to propel a container ship,

with information about the engine operation given in Table $1.$ Using the data,

calculate the following:

i$)$ The engine frictional losses, represented by the engine frictional mean

effective pressure $($FMEP$).$

ii$)$ The power used by the supercharger compressor.

iii$)$ The percentage of fuel energy supplied to the engine used to drive the

supercharger.

$[7$ marks$]$

Table $1.$ Data for large $2$ stroke supercharged Diesel engine

The compressor isentropic power $(W_c^{}{?}^{\text{'}})$ is given by:

$W_c^{}{?}^{\text{'}}=m_a^{}{R}_a{T}_{01}\frac{{}_a}{{}_a-1}[1-(\frac{p_{02}}{p_{01}}{)}^{\frac{{}_a-1}{{}_a}}]$

All symbols have their usual meanings.