First slide

Rms speed

Question

What is the rms speed of helium gas molecules at STP?

Easy

A

2.6 X 10³ m/s
B

1.3 x10³m/s
C

1.3 x10²m/s
D

2.6 x 10²m/s

Solution

V_rms is given is,
${V_{rms}}_{} = \sqrt{\frac{3 RT}{M_{w}}}$
At S.T.P ., T= 273 K, $M_{w}$ =4g/mol=0.004kg/mol; R=8.31J/mol k
${V_{rms}}_{} = \sqrt{\frac{3 x 8.31 x 273}{0.004}} = \sqrt{1.7 x 10^{6}} = 1.3 x 10^{3} m / s$

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