Q5 of 12 Page 137

Solve the following examples.

Hydrogen gas is filled in two identical bottles, A and B, at the same temperature. The mass of hydrogen in the two bottles is 12gm and 48 gm respectively. In which bottle will sound travel faster? How many times as fast as the other?

Given:

Mass of hydrogen in bottle A (MA) = 12gm


Mass of hydrogen in bottle B (MB) = 48gm


We know that mass


So ρA/ρB = MA/MB


We know that


Therefore



So, vA = 2vB


So velocity in bottle B is two times the velocity in bottle A.


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