the temperature of a heat engine is 500 k. some of the heat generated by the engine flows to the…

the temperature of a heat engine is 500 k. some of the heat generated by the engine flows to the surroundings, which are at a temperature of 125 k. the efficiency of the engine is %.

the temperature of a heat engine is 500 k. some of the heat generated by the engine flows to the surroundings, which are at a temperature of 125 k. the efficiency of the engine is %.

Answer

Explanation:

Step1: Recall efficiency formula

The efficiency formula for a heat - engine is $\eta = 1-\frac{T_{c}}{T_{h}}$, where $T_{h}$ is the temperature of the heat source and $T_{c}$ is the temperature of the cold reservoir.

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

Given $T_{h}=500\ K$ and $T_{c} = 125\ K$.

Step3: Calculate efficiency

Substitute the values into the formula: $\eta=1-\frac{125}{500}=1 - 0.25=0.75$.

Step4: Convert to percentage

To convert the efficiency to a percentage, multiply by 100. So, $\eta = 0.75\times100 = 75%$.

Answer:

75