Root Mean Square Speed Video Lessons

Concept:

# Problem: Which of the following gases will have the smallest root mean square speed at 100°C?(A) H2O (B) CH4(C) N2(D) O2(E) Ar

###### FREE Expert Solution

We’re being asked to determine the gas that would have the smallest root mean square speed at 100°C.

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

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###### Problem Details

Which of the following gases will have the smallest root mean square speed at 100°C?

(A) H2

(B) CH4

(C) N2

(D) O2

(E) Ar

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