First slide

Kinetic theory of ideal gases

Question

At room temperature, the rms speed of the molecules of a certain diatomic gas is found to be $1930 m s^{- 1}$ . The gas possibly is

Moderate

A

$H_{2}$
B

$F_{2}$
C

$C_{2}$
D

$C l_{2}$

Solution

$\begin{array}{l} v_{RMS} = \sqrt{\frac{3 RT}{M}} \\ 1930^{2} = 3 \times \frac{8.314}{M} \times 300 \Rightarrow M = 2 \times 10^{- 3} kg \end{array}$
Hence, the gas is H₂ .

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