## anonymous one year ago Scientists in a laboratory produce a sound wave in a simulated environment (air) with a velocity of 419 m/s. What is the temperature (in Kelvin) of the environment?

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1. rajat97

We can assume speed of sound in air to be $\sqrt{constant \times T}$ where T is the temperature of air. we know, at 20 deg C(293K), the speed of sound in air is 343.2m/s so we can use unitary method to solve this. $\sqrt{293}$ corresponds to 343.2m/s so $\sqrt{T}$ correspond to 419m/s so we get $\sqrt{T}$=20.898 thus, T=436.726K i.e. 153.726 deg C

2. rajat97

i hope this helps you