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Molecular Speeds - Vrms, Vavg, Vmps

At same tempe...

Question

At same temperature, calculate the ratio of average velocity of $S O_{2}$ to $C H_{4}$ .

A

2 : 3

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B

3 : 4

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C

1 : 2

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D

1 : 6

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Solution

The correct option is C $1 : 2$
$v_{a v} = \sqrt{\frac{8 R T}{π m}}$
$\frac{v_{S O_{2}}}{v_{C H_{4}}} = \sqrt{\frac{m_{C H_{4}}}{m_{S O_{2}}}} = \sqrt{\frac{16}{64}} = \frac{1}{2}$

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