🤓 Based on our data, we think this question is relevant for Professor Billman's class at Abilene Christian University.

We’re being asked **what temperature should the gas be heated** to **increase the rms speed by a factor of 2.**

When calculating for root mean square speed (μ_{rms}), we will use the following equation:

$\overline{){{\mathbf{\mu}}}_{{\mathbf{rms}}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}}$

µ_{rms} = rms speed,

R = 8.314 J/(mol·K)

T = temperature, K

M = molar mass, kg/mol

**Given:**

You have a sample of gas at -32 ^{o}C. You wish to increase the rms speed by a factor of 2.

To what temperature should the gas be heated?