We can consider a sound wave as the adiabatic and quasi-static compression of a gas with a resulting sound velocity defined by vs = vdP/dp where the derivative is evaluated for an adiabatic process. (a) (10 points) Find an expression for (OP/OV) in terms of y (defined y = Cp/Cv), P, and V, assuming a quasi-static process. (b) (10 points) Use this result to find an expression for the sound velocity of an ideal gas and evaluate its magnitude for air at 1 atm, 0 'C (y = 1.4)