Question

The values of \(C_V\) and \(C_P\) for a diatomic gas are respectively \((R=\) gas constant\()\)

• A. \(\dfrac{5}{2}R,\ \dfrac{7}{2}R\)
• B. \(\dfrac{3}{2}R,\ \dfrac{5}{2}R\)
• C. \(3R,\ 4R\)
• D. \(\dfrac{5}{2}R,\ \dfrac{3}{2}R\)
• E. \(\dfrac{7}{2}R,\ \dfrac{5}{2}R\)

Hint:

Always remember: \[ C_P-C_V=R \] for an ideal gas.

Answer 1

The Correct Option is A

For a diatomic gas at ordinary temperatures: \[ C_V=\frac{5}{2}R \] and \[ C_P=C_V+R=\frac{5}{2}R+R=\frac{7}{2}R \] Hence, \[ \boxed{(A)\ \frac{5}{2}R,\ \frac{7}{2}R} \]