Question

For a monatomic gas, the molar specific heat at constant pressure divided by the molar gas constant \(R\) is equal to

• A. 2.5
• B. 1.5
• C. 5.0
• D. 3.5
• E. 4.0

Hint:

For monatomic gas: \(C_v = \frac{3}{2}R\), \(C_p = \frac{5}{2}R\).

Answer 1

The Correct Option is A

Concept: For a monatomic gas: \[ C_v = \frac{3}{2}R, \quad C_p = C_v + R = \frac{5}{2}R \]

Step 1: Write expression. \[ \frac{C_p}{R} = \frac{5}{2} \]

Step 2: Simplify. \[ = 2.5 \]

Step 3: Conclusion. \[ \boxed{2.5} \]