A six-cylinder petrol engine operates on the four-stroke cycle. The bore of each cylinder is \(70 \mathrm{~mm}\) and stroke \(100 \mathrm{~mm}\). The clearance volume per cylinder is \(67 \mathrm{~cm}^{3}\). At a speed of \(3960 \mathrm{rpm}\) the full consumption is \(19.5 \mathrm{~kg} / \mathrm{h}\) and the torque developed is 140 N.m. Calculate

(a) BP,

(b) BMEP,

(c) brake thermal efficiency, if LCV of fuel is \(44 \mathrm{MJ} / \mathrm{kg}\), and

(d) relative efficiency on brake power basis. The engine works on the constant volume cycle basis. Assume \(\gamma=1.4\) for air.