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NEET 2013
Exam
NEET
Year
2013
Subject
Physics
Chapter
Thermodynamics

NEET 2013 · Physics · Thermodynamics

Which of the following relations does not give the equation of an...

Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?

Options

  1. AP1−γTγ=P^{1-\gamma} T \gamma= constant
  2. BPV=\mathrm{PV}= constant
  3. CTW−1=T W^{-1}= constant
  4. DP′T1−γ=P^{\prime} T^{1-\gamma}= constant

Correct answer

D. P′T1−γ=P^{\prime} T^{1-\gamma}= constant

Step-by-step solution

Adiabatic process →\rightarrow Heat does not exchange between system surrounding and eq. is PVγ=\mathrm{PV}^\gamma= constant Ideal gas PV=nRTP V=n R T P=nRTV=nRTV Vγ=P=\frac{n R T}{V}=\frac{n R T}{V} \quad \mathrm{~V}^\gamma= const TVγ−1=\mathrm{TV}^{\gamma-1}= constant Again PV=nRT\quad P V=n R T V=nRTPV=\frac{n R T}{P} Pulley in eq. (i) PP\left(\frac{n R T}{P}\right)^\gamma=constantconstantP^{1-\gamma} \mathrm{T}^\gamma= constant...(iii) So, option (d) does not give the relation.
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