a heat engine has a temperature of 1800 k. some of the heat from the engine flows to the surroundings, which…

a heat engine has a temperature of 1800 k. some of the heat from the engine flows to the surroundings, which are at a temperature of 160 k. what is the approximate efficiency of the engine? 16% 91% 103% 109%

a heat engine has a temperature of 1800 k. some of the heat from the engine flows to the surroundings, which are at a temperature of 160 k. what is the approximate efficiency of the engine? 16% 91% 103% 109%

Answer

Explanation:

Step1: Recall efficiency formula

The efficiency $\eta$ of a heat - engine is given by $\eta = 1-\frac{T_{c}}{T_{h}}$, where $T_{h}$ is the high - temperature reservoir and $T_{c}$ is the low - temperature reservoir.

Step2: Identify $T_{h}$ and $T_{c}$

Here, $T_{h}=1800\ K$ and $T_{c} = 160\ K$.

Step3: Calculate efficiency

$\eta=1-\frac{160}{1800}=1 - 0.0889\approx0.9111$.

Step4: Convert to percentage

Multiply by 100 to get the percentage: $\eta = 0.9111\times100%=91.11%\approx91%$.

Answer:

91%