Problem: At what temperature will He atoms have the same Crms value as N2 molecules at 25°C? Solve this problem without calculating the value of Crms for N2. Crms is the root mean square speed.

FREE Expert Solution

root mean square speed (Crms):

Crms=3RTM

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


molar mass of N2:

MN2=28.02 gmol × 1 kg103 g

MN2 = 0.02802 kg/mol


molar mass of He:

MN2=4.0026 gmol × 1 kg103 g

MN2 = 4.0026x10-3 kg/mol


Crms N2 = Crms He

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Problem Details

At what temperature will He atoms have the same Crms value as N2 molecules at 25°C? Solve this problem without calculating the value of Crms for N2. Crms is the root mean square speed.

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