Specific Heat of Monatomic Gas – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Assertion (A): The specific heat of a monatomic gas may have value between \(0\) and \(\infty\). Reason (R): \(C_p = \frac{5}{2} R\) and \(C_v = \frac{3}{2} R\) for a monatomic gas.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true; specific heat depends on the process and can range from \(0\) (adiabatic) to \(\infty\) (isothermal). Reason (R) is true; the specific heats for a monatomic gas are correctly given.

However, R provides specific values and does not explain the general range of specific heat values mentioned in A. Therefore, R is not the correct explanation of A.

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