Question

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

• A. 8475 J/kg – K
• B. 5186 J/kg - K
• C. 1660 J/kg – K
• D. 10375 J/kg – K

Answer 1

Answer: (D)

10375 J/kg – K

Answer 2

Given $c_{p} - c_{v} = 4150$ …..(i) and

$\frac{c_{p}}{c_{v}} = 1.4$ ⇒ $c_{p} = 1.4c_{v}$ …..(ii)

By substituting the value of $c_{p}$ in equation (i) we get $1.4c_{v} - c_{v} = 4150$ ⇒ $0.4c_{v} = 4150$

∴ $c_{v} = \frac{4150}{0.4} = 10375J ⥂ / ⥂ kg ⥂ - ⥂ K$.