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NEET
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NEET
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Physics
Chapter
Thermodynamics

NEET · Physics · Thermodynamics

In the reported figure, there is a cyclic process ABCDA on a sample...

In the reported figure, there is a cyclic process ABCDAABCDA on a sample of 11 mol of a diatomic gas. The temperature of the gas during the process A→BandA \to B andC \to Dareare{T}_{1}andand{T}_{2}(T1>T2)\left({T}_{1} > {T}_{2}\right) respectively.

In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the

Choose the correct option out of the following for work done if processes BCBC and DADA are adiabatic.

Options

  1. AWAB=WDC{W}_{AB} = {W}_{DC}
  2. BWAD=WBC{W}_{AD} = {W}_{BC}
  3. CWBC+WDA>0{W}_{BC} + {W}_{DA} > 0
  4. DWAB<WCD{W}_{AB} < {W}_{CD}

Correct answer

B. WAD=WBC{W}_{AD} = {W}_{BC}

Step-by-step solution

Work done in adiabatic process =−nRγ−1(Tf−Ti)= \dfrac{- nR}{\gamma - 1}\left({T}_{f} - {T}_{i}\right)

∴WAD=−nRγ−1(T2−T1)∴ {W}_{AD} = \dfrac{- nR}{\gamma - 1}\left({T}_{2} - {T}_{1}\right)

and WBC=−nRγ−1(T2−T1){W}_{BC} = \dfrac{- nR}{\gamma - 1}\left({T}_{2} - {T}_{1}\right)

∴WAD=WBC∴ {W}_{AD} = {W}_{BC}

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