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NEET Class neet Answered

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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