select the correct answer.\na heat engine has a hot reservoir of 490°c and a cold reservoir of 210°c. what…

select the correct answer.\na heat engine has a hot reservoir of 490°c and a cold reservoir of 210°c. what is the efficiency of the engine?\na. 62.3%\nb. 52.6%\nc. 57.1%\nd. 48.2%

select the correct answer.\na heat engine has a hot reservoir of 490°c and a cold reservoir of 210°c. what is the efficiency of the engine?\na. 62.3%\nb. 52.6%\nc. 57.1%\nd. 48.2%

Answer

Explanation:

Step1: Convert temperatures to Kelvin

The formula to convert Celsius to Kelvin is $T(K)=T(^{\circ}C)+ 273$. $T_{h}=490 + 273=763K$ $T_{c}=210+ 273 = 483K$

Step2: Use the efficiency formula

The efficiency formula for a heat - engine is $\eta=1-\frac{T_{c}}{T_{h}}$. $\eta = 1-\frac{483}{763}$ $\eta=1 - 0.633$ $\eta = 0.367$

Answer:

None of the above options are correct. The calculated efficiency is approximately 36.7%.