Problem: The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule. rms speed = √3RT/M  where R=8.314 J/(mol • K) and M is molar mass in kilograms per mole. Note that a joule is the same as a kg • m2/s2. What is the rms speed of N2 molecules at 287 K?What is the rms speed of He atoms at 287 K?

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Problem Details

The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule.

rms speed = √3RT/M  where R=8.314 J/(mol • K) and M is molar mass in kilograms per mole. Note that a joule is the same as a kg • m2/s2

What is the rms speed of N2 molecules at 287 K?

What is the rms speed of He atoms at 287 K?

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 .

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Our tutors rated the difficulty of The average kinetic energy of the molecules in a gas sample ... as medium difficulty.

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