If the pressure remains constant, find the temperature at which root mean square speed of a gas is half of its value at `27^@ C`.

Explanation

To solve the problem, we need to find the temperature at which the root mean square (RMS) speed of a gas is half of its value at 27°C, while keeping the pressure constant. Here’s the step-by-step solution:

### Step 1: Understand the relationship between RMS speed and temperature
The root mean square speed \( V_{rms} \) of a gas is given by the formula:
\[ V_{rms} = \sqrt{\frac{3kT}{m}} \]
where \( k \) is the Boltzmann constant, \( T \) is the absolute temperature in Kelvin, and \( m \) is the mass of a gas molecule.
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