J.R. S. answered 04/16/22
Ph.D. University Professor with 10+ years Tutoring Experience
To find n, we first need to find the MOLES of COOH-(CH2)n-COOH. Once we find the moles, and knowing the mass (1.18g) we can determine the molar mass and hence, n.
moles COOH-(CH2)n-COOH:
COOH-(CH2)n-COOH + 2 NaOH ==> COONa-(CH2)n-COONa + 2H2O
mols NaOH = 25 ml x 1 L/1000 ml x 0.80 mol/L = 0.02 mols NaOH
mols COOH-(CH2)n-COOH = 0.02 mols NaOH x 1 mol COOH-(CH2)n-COOH / 2 mol NaOH = 0.01 mols
molar mass of COOH-(CH2)n-COOH = 1.18 g / 0.01 mols = 118 g/mol
How many -CH2 units do we need to add to 2 COOH units to get a molar mass of 118?
Each -COOH unit = 45 g for a total of 90 g
118 - 90 = 28 g
each -CH2 unit = 14
# of -CH2 units needed = 2 (2x14 = 28)
So, n = 2
COOH-(CH2)2-COOH molar mass = 118