12.10 A refrigerator is to maintain eatables kept inside at 9 $\mathit{?}$ . If room temperature is 36 $\mathit{?}$ , calculate the coefficient of performance.

<p>Temperature inside the refrigerator, &nbsp;<span title="Click to copy mathml"><math><msub><mrow><mrow><mi>T</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub></math></span>&nbsp;= 9&nbsp;<span title="Click to copy mathml"><math><mi>? </mi></math></span>&nbsp;= 9 + 273 K = 282 K</p><p>Room temperature, &nbsp;<span title="Click to copy mathml"><math><msub><mrow><mrow><mi>T</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub></math></span>&nbsp;= 36&nbsp;<span title="Click to copy mathml"><math><mi>? </mi></math></span>&nbsp;= 36 + 273 = 309 K</p><p>Coefficient of performance =&nbsp;<span title="Click to copy mathml"><math><mfrac><mrow><mrow><msub><mrow><mrow><mi>T</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub></mrow></mrow><mrow><mrow><mi mathvariant="normal"></mi><msub><mrow><mrow><mi>T</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msub><mo>-</mo><msub><mrow><mrow><mi>T</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub><mi></mi></mrow></mrow></mfrac></math></span>&nbsp;=&nbsp;<span title="Click to copy mathml"><math><mfrac><mrow><mrow><mn>282</mn></mrow></mrow><mrow><mrow><mn>309</mn><mo>-</mo><mn>282</mn></mrow></mrow></mfrac></math></span>&nbsp;= 10.44</p><p>Therefore, the coefficient of performance is 10.44</p>

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