Kinetic Theory of Gases: Practice Problem & Solution
Match list-I with list-II about effect of various factors on speed of sound in a gas. \[\begin{array}{|l|l|} \hline \text{List-I (Factor)} & \text{List-II (Speed)} \\ \hline \text{a. With increase in temperature} & \text{(ii) Increases} \\ \hline \text{b. With increase in molecular weight of gas (temp const)} & \text{(iii) Decreases} \\ \hline \text{c. With increase in pressure at constant temperature} & \text{(i) Same} \\ \hline \end{array}\]
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:
Speed of sound is \(v = \sqrt{\frac{\gamma RT}{M}}\). Temperature increase increases speed, molecular weight increase decreases speed, and pressure has no effect at constant temperature.
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