Chemistry Practice Problems Root Mean Square Speed Practice Problems Solution: Which of the following gases will have the smalles...

Solution: 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

Problem

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

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:

μrms=3RTM

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

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