Kinetic Theory of Gases: Practice Problem & Solution
Match the columns and tick the correct option. (Symbols have their usual meanings) \begin{array}{|l|l|} \hline \textbf{Column-I} & \textbf{Column-II} \\ \hline \text{a. } \gamma = \frac{5}{3} & \text{(i) Diatomic gas} \\ \hline \text{b. } C_v = \frac{5}{2}R & \text{(ii) Triatomic non-linear gas} \\ \hline \text{c. } C_v = 3R & \text{(iii) Monoatomic gas} \\ \hline \end{array}
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:
Monoatomic gas has \(\gamma = 5/3\) (a-iii). Diatomic gas has \(C_v = 5/2 R\) (b-i). Triatomic non-linear gas has \(C_v = 3R\) (c-ii). Thus, the correct matching is a(iii), b(i), c(ii).
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