An ideal gas (Cp/Cv = γ) is taken through a process in which the pressure and the volume vary as p = aVb. Find the value of b for which the specific heat capacity in the process is zero.
Shane Macguire , 11 Years ago
Grade upto college level
1 Answers
Jitender Pal
Sol. C base P/C base V = γ, C base P – C base V = R, C base V = r/γ -1, C base P = γR/γ – 1|
Pdv = 1/b + 1(Rdt)
⇒ 0 = C base VdT + 1/b + 1(Rdt) ⇒ 1/b + 1 = -C base V/R
⇒ b + 1 = -R/C base V = -(C base P – C base V)/C base V = -γ + 1 ⇒ b = -γ
Last Activity: 11 Years ago
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