Molarity vs Density 035 y 34308x33753 030 0299 025 0224 020

Molarity vs. Density 0.35 y = 3.4308x-3.3753 0.30 0.299 0.25 0.224 0.20 1871 0.15 0.10 0.075 0.05 0.00 0.00 0.98 1.02 1.04 1.06 1.08 1.1 Density

Taking two points on the line (x1,y1), (x2,y2) i.e. (1.04,0.2) and (101,0.1) the slope of the line is

(y2-y1)/(x2-x1) = (0.1-0.2) / (1.01 - 1.04) = -0.1/ - 0.03 = 1/30

The Equation of line is y = mx+b

y= (1/30)x + b

substituting one of the above points

0.2 = (1/30)*1.04 + b

b = 0.2 - 1.04/30 = 0.2 - 0.035 = 0.165

Equation of line is y = (1/30)x + 0.165

Molecular weight of Sucrose is 342

Moles of Sucrose solution = (Weight of Sucrose in gms / Solvent in litres) / Molecular weight

= (487/0.1)/342 = 4870/342 = 14.23

Substituting 14.23 for Y in line equation

14.23 = (1/30)x + 0.165

(1/30x) = 14.23 - 0.165 = 14.065

x = 14.065*30 = 421.95

The density is 421.95