In an isobaric process of an ideal gas. The ratio of heat supplied and work done by the system [i e,((Q/W))] is

Question

In an isobaric process of an ideal gas. The ratio of heat supplied and work done by the system [i e,((Q/W))] is (A)  (&gamma; -1/&gamma; )  (B)  &gamma;  (C)  (&gamma; /&gamma; -1)  (D) 1

Tardigrade Admin · Accepted Answer

From ideal gas equation p V=n R T...(i) where, p is pressure, V the volume, R the gas constant, T the absolute temperature. For isobaric process Q =n Cp Δ T...(ii) W =p Δ V...(iii) where, Cp is specific heat at constant pressure. From Eqs. (i), (ii) and (iii), we get (Q/W) =(n Cp Δ T/n R Δ T) =(Cp/R) =(&gamma;/&gamma;-1)

Q. In an isobaric process of an ideal gas. The ratio of heat supplied and work done by the system $[i e, (\frac{Q}{W})]$ is

$\frac{γ - 1}{γ}$

$γ$

$\frac{γ}{γ - 1}$

$1$

Q. In an isobaric process of an ideal gas. The ratio of heat supplied and work done by the system [ie,(WQ​)] is

γγ−1​

γ

γ−1γ​

1

Q. In an isobaric process of an ideal gas. The ratio of heat supplied and work done by the system $[i e, (\frac{Q}{W})]$ is

$\frac{γ - 1}{γ}$

$γ$

$\frac{γ}{γ - 1}$

$1$