At What Temperature Would the Root-Mean-Square Speed of Hydrogen $\mathrm { H } _ { 2 }$

Multiple Choice

At what temperature would the root-mean-square speed of hydrogen, $\mathrm { H } _ { 2 }$ molecules equal 11.2 km/s (the earth's escape speed) ? The mass of a hydrogen atom is $1.67 \times 10 ^ { - 27 } \mathrm {~kg}$ and the Boltzmann constant is $1.38 \times 10 ^ { - 23 } \mathrm {~J} / \mathrm { K }$

A) $1.01 \times 10 ^ { 8 } \mathrm {~K}$
B) $1.01 \times 10 ^ { 6 } \mathrm {~K}$
C) $1.01 \times 10 ^ { 4 } \mathrm {~K}$
D) $1.01 \times 10 ^ { 2 } \mathrm {~K}$