Exercise $2.$ In an engine working on the Diesel cycle, the ratio of the weights of air to fuel supplied is $50$:$1.$ The temperature of air at the beginning of the compression is $60,$ and the compression ratio used is $14$:$1.$ Determine the ideal efficiency of the engine. The calorific value of the fuel used is $42000k\frac{J}{k}g.$ Assume the following for air:

$C_p=1\mathrm{.}004k\frac{J}{k}g*K$

$C_v=0\mathrm{.}717k\frac{J}{k}g*K$