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The speed of sound at NTP in air is 332 m/sec. Calculate the speed (in m/sec) of sound in hydrogen at NTP (Air is 16 times heavier than hydrogen.)

Correct answer is '1328'. Can you explain this answer?
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The speed of sound at NTP in air is 332 m/sec. Calculate the speed (in...
We know that the speed of sound in a gas is given by



If va and vh be the velocities of air and hydrogen respectively at normal pressure and temperature, then



where dh and da are densities of hydrogen and air respectively.

Given that 



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The speed of sound at NTP in air is 332 m/sec. Calculate the speed (in...
We know that the speed of sound in a gas is given by

If va and vh be the velocities of air and hydrogen respectively at normal pressure and temperature, then

where dh and da are densities of hydrogen and air respectively.
Given that 

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The speed of sound at NTP in air is 332 m/sec. Calculate the speed (in...
Calculation of speed of sound in hydrogen at NTP
- Given speed of sound in air at NTP = 332 m/s
- Air is 16 times heavier than hydrogen

Formula:
Speed of sound in a gas is inversely proportional to the square root of its molar mass.

Calculation:
- Since air is 16 times heavier than hydrogen, the molar mass of air is 16 times the molar mass of hydrogen.
- Using the formula, the speed of sound in hydrogen = (Speed of sound in air) * sqrt(Molar mass of air/Molar mass of hydrogen)
- Speed of sound in hydrogen = 332 * sqrt(16/1) = 332 * 4 = 1328 m/s
Therefore, the speed of sound in hydrogen at NTP is 1328 m/s.
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The speed of sound at NTP in air is 332 m/sec. Calculate the speed (in m/sec) of sound in hydrogen at NTP (Air is 16 times heavier than hydrogen.)Correct answer is '1328'. Can you explain this answer?
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