Calculate RMS Speed of Nitrogen at 227°C

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To calculate the RMS speed of nitrogen at 227°C, the ideal gas law and the formula for RMS speed, v_rms = √(3kT/m), can be utilized. The density of nitrogen at standard temperature and pressure (STP) is provided as 1.25 kg/m³, which can help determine the molar mass and subsequently the RMS speed. The temperature must be converted to Kelvin for accurate calculations. Using these principles, the RMS speed can be calculated effectively. Understanding these equations is crucial for solving the problem.
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Hiya,

Im having trouble answering this question.


If the density of nitrogen at STP (1.01 X 10^5 Pa and 0 degrees celsius) is 1.25kgm^-3, calculate the RMS speed of nitrogen at 227 degrees celsius.

Could someone please point me in the right direction?

Thank you.
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What have you tried? Can you think of any equations that might be useful?
 
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