First slide

Rms speed

Question

A cylinder contains a mixture of helium and argon gas in equilibrium at $150^{0} C$ . what is the rms speed of each type of molecule?

Easy

A

21 km/s
B

1.62 km/s
C

4.62 km/s
D

3.24 km/s

Solution

Rms speed of ideal gas molecule is given by $V_{r m s} = \sqrt{\frac{3 k T}{m}} = \sqrt{\frac{3 \times 1.38 \times 10^{- 38} \times (273 + 150)}{4 \times 1.67 \times 10^{- 27}}} m / s = 1.62 k m / s$
We find root-mean square velocity for helium, $v_{rms} = 1.62 km / s$

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