# Problem: The root mean square speed of nitrogen molecules in air at 20°C is 511 m/s in a certain container. If the gas is allowed to expand to twice its original volume, the root mean square velocity of nitrogen molecules drops to 325 m/s. Calculate the temperature after the gas has expanded.1. 45.1°C2. −45.1°C3. 261°C4. 347◦C5. −347°C6. −261°C7. 154°C8. −154°C

🤓 Based on our data, we think this question is relevant for Professor Carlson's class at UWM.

###### Problem Details

The root mean square speed of nitrogen molecules in air at 20°C is 511 m/s in a certain container. If the gas is allowed to expand to twice its original volume, the root mean square velocity of nitrogen molecules drops to 325 m/s. Calculate the temperature after the gas has expanded.

1. 45.1°C

2. −45.1°C

3. 261°C

4. 347◦C

5. −347°C

6. −261°C

7. 154°C

8. −154°C

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 is the difficulty of this problem?

Our tutors rated the difficulty ofThe root mean square speed of nitrogen molecules in air at 2...as high difficulty.

How long does this problem take to solve?

Our expert Chemistry tutor, Dasha took 6 minutes undefined to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

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