The density of a fluid is given by the empirical equation p=70.5 exp(8.27 x 10"'P) where p is density (lb/ft³) and P is pressure (lb,/in.). (a) What are the units of 70.5 and 8.27 x 10-7? (b) Calculate the density in g/cm³ for a pressure of 9.00 x 10 N/m². (c) Derive a formula for p(g/cm³) as a function of P(N/m²). (See Example 2.6-1.) Check your result using the solution of part (b).