First slide

Kinetic theory of ideal gases

Question

For a gas, the rms speed at 800 K is

Easy

A

four times the value at 200 K
B

half the value at 200 K
C

twice the value at 200 K
D

same as that at 200 K

Solution

$\begin{array}{l} v_{RMS} α \sqrt{T} \\ \Rightarrow \frac{v_{2}}{v_{1}} = \sqrt{\frac{T_{2}}{T_{1}}} = \sqrt{\frac{800}{200}} \Rightarrow v_{2} = 2 v_{1} . \end{array}$

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