AP EAMCET · PHYSICS · Thermodynamics
A Carnot engine has the same efficiency between 800 K and 500 K . and \(x\gt600 \mathrm{~K}\) and 600 K . The value of ' \(x\) ' is
- A 1000 K
- B 960 K
- C 846 K
- D 754 K
Answer & Solution
Correct Answer
(B) 960 K
Step-by-step Solution
Detailed explanation
\(\eta_1=1-\frac{T_2}{T_1}=1-\frac{500}{800}=\frac{3}{8} \Rightarrow \eta_2=1-\frac{600}{x}\) \(\therefore \quad \eta_1=\eta_2\) \(\Rightarrow 1-\frac{600}{x}=\frac{3}{8} \Rightarrow \frac{600}{x}=\frac{5}{8}\) \(\therefore x=960 K\)
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