Kinetic Theory of Gases: Practice Problem & Solution

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:

Using standard molecular velocity expressions: \(v_{\text{rms}} = \sqrt{\frac{3RT}{M}}\), \(v_{\text{mp}} = \sqrt{\frac{2RT}{M}}\), and \(v_{\text{avg}} = \sqrt{\frac{8RT}{\pi M}}\). This gives the ratio \(\sqrt{3} : \sqrt{2} : \sqrt{\frac{8}{\pi}}\).