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PART - 2 CH - 12 Kinetic Theory — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsPART - 2 CH - 12 Kinetic Theory2 Marks
Question
There are two containers of equal volume. One is filled with oxygen gas and the other is filled with hydrogen gas. If both the gases are at the same temperature then what will be the ratio of their pressures? If the ratio of their square root velocities is $1: 4$.
✓

Answer

$C_{ms}=\sqrt{\frac{3 R T}{M}}=\sqrt{\frac{3 P V}{M}}$
When V is constant.
$\begin{array}{l}\therefore \quad C_{\text {rms }} \propto \sqrt{\frac{P}{M}}\end{array}$
$\therefore \quad \frac{ P _{ O }}{ P _{ H }}=\frac{ M _{ O } C _{ O ( rms )}^2}{ M _{ H } C _{ H ( rms )}^2}$
$\begin{aligned}= & \frac{32}{2} \times\left(\frac{1}{4}\right)^2 \\ & =\frac{32 \times 1}{2 \times 16}=1 \\ P_{ O }: P_{ H } & =1: 1\end{aligned}$

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