D20 4 Problem 2 In the CRC handbook we find the following data for the density sucrose solutions in water as a function of the weight % of sugar: weight % 0 0.9982 5 1.0178 10 1.0381 15 1.0592 20 1.0810 30 1.1270 where D20 is the specific gravity of the solution referenced to water at 4 C. a) Obtain a linear fit of the data in the form p= a + bw where p is the solution density in g/cm and w is the mass fraction of sucrose. b) Obtain the coefficients a' and b/ for the equation p = d'+b'w where p is the solution density in lb/ft and W is the percent weight of sugar in solution (.e. if w = 0.1 then W = - 10%) c) Calculate the difference between the density obtained from the fitted equation and the density calculated from the table for the six weight percents shown in the table. d) Use your fitted equation to calculate the concentration of sugar in g/1 if the mass fraction is w = 0.123. e) Why is the specific gravity of water (i.c., at 0% sugar) is listed as 0.9982 and not 1.0000