## Related questions with answers

Question

The operating temperatures for a Carnot engine are $T_{\mathrm{c}}$ and $T_{\mathrm{h}}=T_{\mathrm{c}}+55 \mathrm{~K}$. The efficiency of the engine is $11 \%$. Find $T_{\mathrm{c}}$ and $T_{\mathrm{h}}$.

Solution

VerifiedStep 1

1 of 2The operating temperatures for a carnot engine are given as: $T_{c}$ : temperature of the cold reservoir

$T_{h}$ : temperature of the hot reservoir = $T_{c}$ + 55

$\eta$ = 1 - $\dfrac{T_{cold}}{T_{hot}}$

0.11 = 1 - $\dfrac{T_{c}}{T_{c} + 55}$

$\dfrac{T_{c}}{T_{c} + 55}$ = 0.89

0.89 $T_{c}$ + 48.95 = $T_{c}$

48.95 = 0.11 $T_{c}$

$T_{c}$ = 445 K

$T_{h}$ = 500 K

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