Question

the speed of sound in oxygen at a certain temperature is 460 ms-1. the speed of sound in helium at the same temperature will be 1)500ms-1 2) 650ms-1 3)330ms-1 4) 1420 ms-1 ​

Answer 1

Explanation:

650ms-1. is the correct answer

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Answer 2

Answer:

$V\:=\sqrt{\frac{\gamma P}{P}}\:=\:\sqrt{\frac{\gamma RT}{M}}\\\\\gamma for O_{2}\:=\:1+\frac{2}{5}=\frac{7}{5}\\\\\gamma for H_{e}=1+\frac{2}{3}=\frac{5}{3}\\\\\\\frac{v_{2}}{v_{1}} = \sqrt{\frac{\gamma H_{e}}{4}\times \frac{32}{\gamma O_{2}}}\:\times460\:\:\:\:=\sqrt{\frac{5}{3}\times\frac{1}{4}\times\frac{32\times 5}{7}}\:\times460\:=\:1420\:ms^{-1}$

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