First slide

Heat engine

Question

An ideal heat engine exhausting heat at 77°C is to have a 30% efficiency. It must take heat at

Easy

A

127°C
B

227°C
C

327°C
D

673°C

Solution

T₂ = 350k, T₁ = ?, t₁ = ?
$\eta = \frac{{{T_1} - {T_2}}}{{{T_1}}} \Rightarrow \frac{{30}}{{100}} = \frac{{{T_1} - {T_2}}}{{{T_1}}}$
3T₁ = 10T₁ – 3500
7T₁ = 3500
T₁ = 500k ; t₁ = 500 – 273 = 227°C

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