The speed of a sound in a container of hydrogen at 201K is 1220m/s. What would be the speed of sound if the temperature were raised to 405K? Assume that hydrogen behaves like an ideal gas.

Please guide me to do it. Thanks!

2 answers

The speed of sound is proportional to the square root of the absolute temperature.

Therefore, multiply 1220 m/s by sqrt(405/201)
It's an Ideal gas law problem, set both equal to K (or k if you are a chem major) and set them equal to each other. Get rid of everything that is on both sides and hen solve for the unknown velocity.

v2=sqr((T2*v1^2)/T1)
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