The root-mean-square speed of CO at 113 °C is ________ m/s.
A)317
B)58.3
C)586
D)993
E)31.5

Question

Quizplus · Accepted Answer

The root-mean-square speed of a gas molecule is given by the equation:

URMS = √(3RT/M)

where R is the gas constant, T is the temperature in kelvin, and M is the molar mass of the gas.

To solve for the root-mean-square speed of CO at 113°C, we first need to convert the temperature to kelvin:

T = 113°C + 273.15 = 386.15 K

The molar mass of CO is 28.01 g/mol. The gas constant R is 8.31 J/mol·K.

URMS = √(3RT/M) = √[(3*8.31*386.15)/(0.02801)] = 585.9 m/s ≈ 586 m/s

Therefore, the answer is choice C.

The Root-Mean-Square Speed of CO at 113 °C Is ________