Question

What is the molar specific heat of an ideal monoatomic gas at constant pressure?

• A. \(\frac{5}{2}R\)
• B. \(\frac{3}{2}R\)
• C. \(3R\)
• D. \(2R\)

Hint:

For monoatomic gases: \[ C_V=\frac{3}{2}R,\qquad C_P=\frac{5}{2}R \] Always remember Mayer's relation: \[ C_P-C_V=R \]

Answer 1

The Correct Option is A

Concept: For a monoatomic ideal gas, \[ C_V=\frac{3}{2}R \] According to Mayer's relation, \[ C_P-C_V=R \]

Step 1: Substitute the value of \(C_V\). \[ C_P = \frac{3}{2}R+R \] \[ C_P = \frac{3}{2}R+\frac{2}{2}R \] \[ C_P = \frac{5}{2}R \] Thus, \[ \boxed{C_P=\frac{5}{2}R} \] Hence, the correct answer is \[ \boxed{(A)} \]