Q: For a gas the difference between the two specific heats is 4150 J/kg K. What is the specific heat at constant volume of gas if the ratio of specific heats is 1.4

(a) 8475 J/kg-K

(b) 5186 J/kg-K

(c) 1660 J/kg-K

(d) 10375 J/kg-K

Ans: (d)

Sol: C_{p} – C_{v} = 4150 … (i)(given)

$ \displaystyle \frac{C_p}{C_v} = 1.4 $

C_{p} = 1.4 C_{v}

From (i)

1.4 C_{v} – C_{v} = 4150

0.4 C_{v} = 4150

$ \displaystyle C_v = \frac{4150}{0.4} $

= 10375 J/kg-k