## anonymous one year ago If you have a heat engine with a hot reservoir of 515°C and a cold reservoir of 190°C, what is the thermal efficiency of the system?

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1. anonymous

someone help me

2. Michele_Laino

by definition the efficiency $$\large \eta$$ of your termal machine is: $\Large \eta = \frac{{{T_1} - {T_2}}}{{{T_1}}}$ where $$\large T_1, T_2$$ are the absolute temperatures., namely: $\Large \begin{gathered} {T_1} \cong 515 + 273 = 788 \hfill \\ {T_2} \cong 190 + 273 = 463 \hfill \\ \end{gathered}$ so after a substitution, we get: $\Large \eta = \frac{{{T_1} - {T_2}}}{{{T_1}}} = \frac{{788 - 463}}{{788}} = ...?$