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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Physics
Chapter
Thermodynamics

BITSAT 2010 · Physics · Thermodynamics

An ideal refrigerator has a freezer at a temperature of 13^ ^ C ....

An ideal refrigerator has a freezer at a temperature of 13∘C13^{{}^{\circ}} \mathrm{C}. The coefficient of performance of the engine is 5.5. The temperature of the air (to which heat is rejected) is

Options

  1. A320∘C320^{{}^{\circ}} \mathrm{C}
  2. B39∘C39^{{}^{\circ}} \mathrm{C}
  3. C325K325 \mathrm{ K}
  4. D325∘C325^{{}^{\circ}} \mathrm{C}

Correct answer

B. 39∘C39^{{}^{\circ}} \mathrm{C}

Step-by-step solution

T2=273−13=260\mathrm{T}_{2}=273-13=260, K=T2T1−T2;5=260T1−260\mathrm{K}=\frac{\mathrm{T}_{2}}{\mathrm{ T}_{1}-\mathrm{T}_{2}}; \quad 5=\frac{260}{\mathrm{ T}_{1}-260} or T1−260=52;T1=312KT2=312−273=39∘C\mathrm{T}_{1}-260=52 ; \quad \mathrm{T}_{1}=312 \mathrm{ K}\mathrm{T}_{2}=312-273=39^{{}^{\circ}} \mathrm{C}
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