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Molecular Speeds - Vrms, Vavg, Vmps

At what tempe...

Question

At what temperature most probable speed of $S O_{2}$ molecules have the same value of root mean square speed of $O_{2}$ molecules at $300 K$ ?

A

150 K

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B

600 K

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C

750 K

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D

900 K

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Solution

The correct option is D $900 K$
$\sqrt{\frac{2 R T}{M_{S O_{2}}}} = \sqrt{\frac{3 R \times T_{1}}{M_{O_{2}}}} \Rightarrow \frac{2 \times T}{64} = \frac{3 \times 300}{32} \Rightarrow T = 900 K$

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