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An ideal gas `(C_p / C_v = gamma)` is taken through a process in which the pressure and volume vary as `(p = aV^(b))`. Find the value of b for which the specific heat capacity in the process is zero. |
Answer» Given that `P = a V^(b)` or `PV^(-b) = a` Comparing with `PV^(r )` = constant, we have `r = -b` We know that `C = C_(v) - (R )/(r - 1)` Here `C = 0 = C_(V) - (R )/(gamma - 1)` `:. O = (R )/(gamma - 1) - (R )/(- b - 1)` or `b = - gamma` |
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