# Problem: At which temperature will He atoms have the same root-mean-square speed as N2 at 25°C? Solve this problem without explicitly calculating the speed of N2.

###### FREE Expert Solution

We’re being asked to determine at which temperature will He atoms have the same root-mean-square speed as N2 at 25°

When calculating for root mean square speed (μrms), we will use the following equation:

$\overline{){{\mathbf{\mu }}}_{{\mathbf{rms}}}{\mathbf{=}}\sqrt{\frac{\mathbf{3}\mathbf{RT}}{\mathbf{M}}}}$

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

He atoms will have the same μrms as N2: μrms, He = μrms, N2

Given:

86% (238 ratings) ###### Problem Details

At which temperature will He atoms have the same root-mean-square speed as N2 at 25°C? Solve this problem without explicitly calculating the speed of N2.

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