RMS Speed After Leakage – Rankers Physics

Uncategorized: Practice Problem & Solution

The root mean square speed of $text{H}_2$ molecules contained in a vessel is $300text{ m/s}$. If half of the gas leaks out at constant temperature, then the rms speed of the remaining molecules in the vessel will be
$150text{ m/s}$
$600text{ m/s}$
$300text{ m/s}$
$900text{ m/s}$

Short Solution (Best for NEET):

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

The rms speed is $v_{text{rms}} = sqrt{frac{3RT}{M}}$, which depends only on temperature and molecular weight. Since the temperature is constant, $v_{text{rms}}$ remains $300text{ m/s}$.

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