एक कार्नोट इंजन 300 K और 600 K के बीच संचालित होती है। यदि ऊष्मा संवर्धन के दौरान एंट्रॉपी परिवर्तन 1 kJ/K है, तो इंजन द्वारा उत्पादित कार्य क्या है?

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ESE Mechanical 2016 Paper 1: Official Paper
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  1. 100 kJ
  2. 200 kJ
  3. 300 kJ
  4. 400 kJ

Answer (Detailed Solution Below)

Option 3 : 300 kJ
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Detailed Solution

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संकल्पना:

ऊष्मा संवर्धन के लिए एंट्रॉपी परिवर्तन को \(dS = \frac{{dQ}}{T}\)  द्वारा ज्ञात किया गया है। 

\({\eta _{carnot}} = 1 - \frac{{{T_L}}}{{{T_H}}}\)

\(\eta = \frac{{Power\;Input}}{{Heat\;Input}}\)

गणना:

दिया गया है:

dS = 1 kJ/K

इसलिए ऊष्मा संवर्धन,

\(1 = \frac{{dQ}}{{600\;K}}\)

dQ = 600 kJ

अब,

F2 M.J Madhu 15.04.20 D11

\({\eta _{carnot}} = 1 - \frac{{300}}{{600}} = 0.5\)

\(0.5 = \frac{{Power\;output}}{{600}}\)

∴ शक्ति आउटपुट = 300 kJ

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