The molecules of a given mass of a gas have root mean square speeds of `100 ms^(-1) "at " 27^(@)C` and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at `127^(@)C` and 2.0 atmospheric pressure?

Explanation

To solve the problem of finding the root mean square speed (VRMS) of gas molecules at different temperatures and pressures, we can follow these steps:

### Step 1: Understand the Relationship
The root mean square speed (VRMS) of gas molecules is given by the formula:

\[ V_{rms} = \sqrt{\frac{3RT}{M}} \]
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