In: Physics
The air temperature over a lake decreases linearly with height after sunset, since air cools faster than water. The mean molar mass of air is M=28.8×10−3kg/mol. If the temperature at the surface is 28.00 ∘C and the temperature at a height of 300.0 m is 8.000 ∘C how long does it take sound to rise 300.0 m directly upward? [Hint: Use the equation v=√γRT/M and integrate. At a height of 300.0 m, how far does sound travel horizontally in this same time interval?