AP EAMCET · PHYSICS · Thermodynamics
If a refrigerator of coefficient of performance of 5 has a freezer at a temperature of \(-13^{\circ} \mathrm{C}\), then the room temperature is
- A \(325^{\circ} \mathrm{C}\)
- B \(225^{\circ} \mathrm{C}\)
- C \(39^{\circ} \mathrm{C}\)
- D \(29^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(C) \(39^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\(T_c = -13 + 273 = 260 \mathrm{~K}\) \(K = \frac{T_c}{T_h - T_c} \Rightarrow T_h = T_c \left(1 + \frac{1}{K}\right)\) \(T_h = 260 \left(1 + \frac{1}{5}\right) = 260 \times 1.2 = 312 \mathrm{~K}\) \(T_h = 312 - 273 = 39^{\circ} \mathrm{C}\)
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