The Molecular Weight of Nitrogen $\mathrm { N } _ { 2 }$

Multiple Choice

The molecular weight of nitrogen, $\mathrm { N } _ { 2 }$ is 28 g/mol. What is the rms speed of nitrogen molecules in a cooler at $8.0 ^ { \circ } \mathrm { C } ?$ The Boltzmann constant is $1.38 \times 10 ^ { - 23 } \mathrm {~J} / \mathrm { K } \text { and } N _ { \mathrm { A } } = 6.022 \times 10 ^ { 23 }$ molecules/mol.

A) 550 m/s
B) 650 m/s
C) 500 m/s
D) 600 m/s
E) 450 m/s