# 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):

${\mathbf{C}}_{\mathbf{rms}}\mathbf{=}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}$

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

molar mass of N2:

MN2 = 0.02802 kg/mol

molar mass of He:

MN2 = 4.0026x10-3 kg/mol

Crms N2 = Crms He

###### 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.