Question 521: Thermodynamics & KTG

Question

A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has efficiency $${1 \over 6}$$. When $${T_2}$$ is lowered by $$62$$ $$K$$ its efficiency increases to $${1 \over 3}$$. Then $${T_1}$$ and $${T_2}$$ are, respectively:

Accepted Answer

Efficiency of engine
$${1 \over 6} = 1 - {{{T_2}} \over {{T_1}}}$$ and $${\eta _2} = 1 - {{{T_2} - 62} \over {{T_1}}} = {1 \over 3}$$
$$	herefore$$ $${T_1} = 372\,K$$ and $${T_2} = {5 \over 6} 	imes 372 = 310\,K$$

Answer

$$372$$ $$K$$ and $$330$$ $$K$$

Answer

$$330$$ $$K$$  and $$268$$ $$K$$

Answer

$$310$$ $$K$$ and $$248$$ $$K$$

Answer

$$372$$ $$K$$ and $$310$$ $$K$$

Thermodynamics & KTG

A Carnot engine operating between temperatures ${{T_1}} and {{T_2}} has efficiency {1 \over 6}. When {T_2} is lowered by 62 K its efficiency increases to {1 \over 3}. Then {T_1} and {T_2}$ are, respectively:

Choose the correct answer: