Question

A diesel engine has an input temperature of 300K and an efficiency of 33.3%. Calculate the exhaust temperature. Tc = K

Answer 1

The exhaust temperature is 200 K

Explanation:

The maximum efficiency of a machine is given by the equation:

$\eta=1-\frac{T_C}{T_H}$

where:

$T_H$ is the temperature of the hot reservoir

$T_C$ is the temperature of the cold reservoir

For the engine in this problem, we have:

$\eta = 0.333$ (efficiency is 33.3%)

$T_H=300K$ is the temperature of the hot reservoir

Re-arranging the equation for $T_C$, we can find the exhaust temperature (the temperature of the cold reservoir):

$T_C=T_H(1-\eta)=(300)(1-0.333)=200 K$

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