A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by 52K, its efficiency is doubled. The temperature is Kelvin of the source will be…………

<p>Efficiency in the Carnot engine is defined as :</p><p><math><mrow><mi>η</mi><mo>=</mo><mfrac><mrow><mi>w</mi><mi>o</mi><mi>r</mi><mi>k</mi></mrow><mrow><mi>h</mi><mi>e</mi><mi>a</mi><mi>t</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>4</mn></mrow></mfrac></mrow></math></p><p><math><mrow><mi>η</mi><mo>=</mo><mn>1</mn><mo>−</mo><mfrac><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>h</mi></mrow></msub></mrow></mfrac><mo>, </mo><mn>2</mn><mi>η</mi><mo>=</mo><mn>1</mn><mo>−</mo><mfrac><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>5</mn><mn>2</mn></mrow><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>h</mi></mrow></msub></mrow></mfrac><mo>⇒</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>h</mi></mrow></msub><mo>=</mo><mn>2</mn><mn>0</mn><mn>8</mn><mi>K</mi></mrow></math></p>

0 Upvotes 0 Upvotes 0 Downvotes

• • Report Abuse
• Comment