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?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Root Mean Square Speed concept. You can view video lessons to learn Root Mean Square Speed. Or if you need more Root Mean Square Speed practice, you can also practice Root Mean Square Speed practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Cruz's class at USF.