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Standard XII

Physics

Assumptions of KTG

The number of...

Question

The number of molecules of N $_{2}$ and O $_{2}$ in a vessel are same. If a fine hole is made in the vessel then which gas escape out more rapidly?

_{2}

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_{2}

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both

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sometimes N

_{2}

and sometimes O

_{2}

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Solution

The correct option is A N $_{2}$
$v_{r m s} \propto \frac{1}{\sqrt{m}}$
Since $m_{N} < m_{O}$ , $(v_{r m s})_{N} > (v_{r m s})_{O}$
$\Rightarrow$ $N_{2}$ will escape more rapidly.

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The number of molecules of N2 and O2 in a vessel are same. If a fine hole is made in the vessel then which gas escape out more rapidly?

The correct option is A N2vrms∝1√mSince mN<mO, (vrms)N>(vrms)O⇒ N2 will escape more rapidly.

The number of molecules of N $_{2}$ and O $_{2}$ in a vessel are same. If a fine hole is made in the vessel then which gas escape out more rapidly?

The correct option is A N $_{2}$
$v_{r m s} \propto \frac{1}{\sqrt{m}}$
Since $m_{N} < m_{O}$ , $(v_{r m s})_{N} > (v_{r m s})_{O}$
$\Rightarrow$ $N_{2}$ will escape more rapidly.