One mole of an ideal gas is taken along the process in which PVx = constant. The graph shown represents the variation of molar heat capacity of such a gas with respect to x. The value of c' and x', respectively, are given by :
Answer & explanation
Correct answer: option 2
At x = \(\infty\), C = \(\frac{3}{2}R\)
from \(PV^x =\) constant and \(P^{1/x}V =\) another constant
So, at : x = \(\infty\), V = constant
Hence, \(C =C_v = \frac{3}{2}R\) and then \(C_P = C_V + R = \frac{5}{2}R\)
at x = 0, P = constant and C = C'
Hence, \(C' = C_P = \frac{5}{2}R\) x = x', C = 0, So the process is adiabatic,
Thus, x' = \(\frac{C_P}{C_V} =\) 5