(a) Compute the derivative of the velocity of sound with respect to the absolute temperature, and show that the differentials dv and dT obey dv/v = ½ dT/T.

(b) Use this result to compute the percentage change in the velocity of sound when the temperature changes from 0 to 27oC.

(c) If the speed of sound is 331 m/s at 0oC, what is it (approximately) at 27oC? How does this approximation compare with the result of an exact calculation?