Question

consider a carnot't cycle Operating between T1 = 500k and T2=300k producing 1kj pf mechanical work per cycle . Find the heat transferred to the engine by the reser viors . what is its value​

Answer 1

$\huge {\orange {\bf {\underline {\underline {ÀnSwer}}}:-}}$

The heat transferred to the engine by the reser viors is 2500J.

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Explaination:-

⟶ Gíven :-

• Temperature of the source, $\sf T_1$= 500K
• Temperature of the sink,$\sf T_1$= 300K
• Work done per cycle, W = 1J = 1000KJ

⟶ To fínd :-

The heat transferred to the engine by the reser viors .

⟶ Solutíon :-

Efficiency of Carnot engine

$\sf ( \eta) = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{300}{500} = \frac{2}{5}$

$\sf \eta = \frac{W}{ \varrho _{1}} \\ \\ \sf\varrho _{1} = \frac{W}{ \eta} = \frac{1000}{ \frac{2}{5} } \\ \\ \sf\varrho _{1} = 1000 \times \frac{5}{2} = 500 \times 5 \\ \\ \boxed{\bf\varrho _{1} = 2500 \: J}$

Thus, The heat transferred to the engine by the reser viors is 2500J.

value :-

• Heat and energy are the basis of all human life. They should be used in blanced way.