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The constant gamma of oxygen as well as ...

The constant `gamma` of oxygen as well as for hydrogen is 1.40. If the speed of sound in oxygen is `470 ms^-1,` What wil be the speed in hydrogen at the same temperature and pressure?

Text Solution

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The correct Answer is:
1880 m/s

Sound speed in gases is given as
`v = sqrt((gammaRT)/(M)) `
`(v_(1))/(v_(2)) = sqrt((M_(2))/(M_(1)))`
`v_(H_(2)) = v_(o_2) sqrt((m_(0_2))/(M_(H_2)) ) = 470 xx sqrt((32)/(2))`
= 1880 m/s
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