A $0.50 \mathrm {~m} ^ { 3 }$ Gas Tank Holds 3

Multiple Choice

A $0.50 \mathrm {~m} ^ { 3 }$ gas tank holds 3.0 moles of ideal diatomic nitrogen gas at a temperature of 350 K. The atomic mass of nitrogen is 14.0 g/mol. What is the rms speed of the molecules? (The Boltzmann constant is $\left. 1.38 \times 10 ^ { - 23 } \mathrm {~J} / \mathrm { K } , N _ { \mathrm { A } } = 6.022 \times 10 ^ { 23 } \mathrm { molecules } / \mathrm { mol } . \right)$

A) 97
B) 21
C) 790
D) 390
E) 560