KTGMedium
Question
In the following P−V diagram of an ideal gas, AB and CD are isothermal where as BC and DA are adiabatic process. The value of VB/VC is


Options
A.= VA /VD
B.< VA /VD
C.> VA /VD
D.cannot say
Solution
AB → isothermal lerkih;
PA VA = PB VB ...(i)
BC → Adiabatic
PB VBγ = PC VCγ ...(ii)
CD → Isothermal
PCVC = PDVD ...(iii)
DA → Adiabatic
PDVDγ = PA VAγ ...(iv)
From (i), (ii), (iii) and (iv)

PA VA = PB VB ...(i)
BC → Adiabatic
PB VBγ = PC VCγ ...(ii)
CD → Isothermal
PCVC = PDVD ...(iii)
DA → Adiabatic
PDVDγ = PA VAγ ...(iv)
From (i), (ii), (iii) and (iv)
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