In thermodynamic cycles, the area under the temperature entropy diagram is called _______.

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JKSSB JE Mechanical 02 Nov 2021 Shift 1 Official Paper
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  1. total entropy generated 
  2. work done during the cycle
  3. heat transferred during the cycle
  4. differnce of work and heat

Answer (Detailed Solution Below)

Option 3 : heat transferred during the cycle
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Detailed Solution

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Explanation:

The work done is given by the area under the P - V curve.

W = ∫ v dP

 

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As clearly seen the Larger the value of n, the smaller is the area and so smaller is work obtained. In other words

W = ∫ v dP

\(W = \frac{{{P_1}{V_1} - {P_2}{V_2}}}{{n - 1}}\)

So, W is maximum, when n = 0 i.e. constant pressure process

W is always zero for n = ∞ i.e. constant volume process.

The heat is given by the area under the T - S curve.

F1 M.J Madhu 02.04.20 D1

dQ = ∫ T dS

 

or, Q = T(s2 - s1), represents the area under T-S diagram.

Hence, the Area under the process line in P - V (Pressure-Volume) and T - S (Temperature - Entropy) diagrams give work and heat interaction (Heat absorbed or Heat rejected) respectively.

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