An ideal heat engine exhausting heat at ${77^o}C$ is to have a $30\%$ efficiency. It must take heat at ...... $^oC$
Medium
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(b) $\eta = 1 - \frac{{{T_2}}}{{{T_1}}}$ ==> $\frac{{30}}{{100}} = 1 - \frac{{350}}{{{T_1}}}$
==> $\frac{{350}}{{{T_1}}} = 1 - \frac{{50}}{{100}} = \frac{{70}}{{100}} = \frac{7}{{10}}$==> ${T_1} = 500\,K = 227^\circ C$
==> $\frac{{350}}{{{T_1}}} = 1 - \frac{{50}}{{100}} = \frac{{70}}{{100}} = \frac{7}{{10}}$==> ${T_1} = 500\,K = 227^\circ C$
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