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On a hot summer day in the Midwest United States, the outside air temperature can easily reach ${ 100 }^{ \circ }\text{F}$ ($311\text{ K}$). The molar mass of air is $28.97\text{ g/mol}$.

Which of the following most closely approximates the root mean squared (rms) speed of the air particles?

A

$2.68\cdot { 10 }^{ 5 }\text{ m/s}$

B

$16.35\text{ m/s}$

C

$267.3\text{ m/s}$

D

$517\text{ m/s}$

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