Calculate the root-mean-square speed of methane, CH₄(g), at 78°C. A)23 m/s B)350 m/s C)550 m/s D)667 m/s E)740 m/s

Question

Quizplus · Accepted Answer

We can use the formula:
v(rms) = √[(3RT)/M]
where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of methane.
M = 16.04 g/mol
R = 8.314 J/(mol·K)
T = (78 + 273) K = 351 K
Plugging in the values gives:
v(rms) = √[(3 * 8.314 * 351) / 16.04] = 740 m/s (rounded to three significant figures)
Therefore, the best choice is E.

Calculate the Root-Mean-Square Speed of Methane, CH4 (g), at 78°C

Calculate the Root-Mean-Square Speed of Methane, CH₄(g), at 78°C