A six-cylinder, four-stroke, \(10 \mathrm{~cm}\) bore and \(12.5 \mathrm{~cm}\) stroke diesel engine develops \(50 \mathrm{~kW}\) at \(1000 \mathrm{rpm}\). The various efficiencies are: mechanical \(=76 \%\), volumetric \(=80 \%\) under room conditions, indicated relative \(=88 \%\), theoretical thermal \(=52 \%\). The calorific value of liquid fuel is \(450 \mathrm{~kJ} / \mathrm{kg}\). Calculate:

(a) BMEP,

(b) \(A: F\) ratio,

(c) SFC.

Assume air density as \(0.12 \mathrm{~kg} / \mathrm{m}^{3}\) under room conditions.