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RMS and KE Expressions

2 g of H2...

Question

$2$ $g$ of $H_{2}$ and $^{'} n^{'}$ $g$ of $C O_{2}$ at $25^{o} C$ have the same kinetic energy. What is the value of $^{'} n^{'}$ ?

A

2

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B

44

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C

22

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D

88

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Solution

The correct option is D $44$
For two gases at same temperature, $K E \propto n u m b e r o f m o l e s$ .
$∴ \frac{W_{1}}{M_{1}} = \frac{n}{M_{2}}$
$⟹ \frac{2}{2} = \frac{n}{44}$
Thus, $n = 44$ .

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