Answer
$v_{rms}=2496\frac{m}{s}$
Work Step by Step
The root mean square speed is given as
$v_{rms}=\sqrt\frac{3RT}{M}$
The molar mass of Helium (found from Appendix F) is $M=4.003\times10^{-3} Kg mol^{-1}$
Now, we substitute the values of $R,T$ and $M$ into the equation to find $v_{rms}$:
$v_{rms}=\sqrt\frac{3(8.314)(1000)}{4.003\times10^{-3}}$
$v_{rms}=2496\frac{m}{s}$
