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At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 100 degree Celsius 
Asked by Khyatishah882 | 01 Mar, 2019, 10:57: AM
answered-by-expert Expert Answer
W e space k n o w comma space v space equals space square root of fraction numerator gamma space M over denominator T end fraction end root
 
For the velocity to be same,
 
vH = vO 
 
T subscript H over T subscript O equals M subscript H over M subscript O
We know that the molecular mass of hydrogen ≈ 1
and of oxygen is ≈16
Thus, the ratio of their molecular masses is 1:16
 
 
T subscript H space end subscript space equals space T subscript O M subscript H over M subscript O space equals space open parentheses 100 space plus 273 close parentheses 1 over 16 space equals space 373 over 16 space equals space 23.312 space minus space 273 space equals space minus 249.68 degree C
Thus, the temperature at which the speed of sound in hydrogen and speed of oxygen will be same is -249.68ºC
Answered by Shiwani Sawant | 01 Mar, 2019, 12:05: PM
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At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 100 degree Celsius 
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