Problem: You have a sample of gas at -32 oC. You wish to increase the rms speed by a factor of 2.To what temperature should the gas be heated?

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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 (μrms), we will use the following equation:


μrms = 3RTM


µrms = rms speed,
R = 8.314 J/(mol·K)
T = temperature, K
M = molar mass, kg/mol


Given:

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Problem Details

You have a sample of gas at -32 oC. You wish to increase the rms speed by a factor of 2.

To what temperature should the gas be heated?