First, determine the molar mass of tartrazine by adding up the product of the number of moles of the substance with the molar mass of each of the element.
molar mass of tartrazine = (3 mol Na)(23 g Na/1 mol Na) + (16 mol C)(12 g C/1 mol C) + (9 mol H)(1 g H/1 mol H) + (9 mol O)(16 g O/1 mol O) + (2 mol S)(32 g S/1 mol S) = 478 g/mol
Then, determine the number of moles of the substance by dividing the given mass by the calculated molar mass.
n = (0.035 g)(1 mol tartrazine / 478 g tartrazine)
= 7.32 x 10⁻⁵ mol of tartrazine
Then, divide the calculated number of moles by the volume of the solvent in L which will be equal to 0.5 L.
M = (7.32 x 10⁻⁵ mol of tartrazine / 0.5 L) = 1.46 x 10⁻⁴ M tartrazine
ANSWER: 1.46 x 10⁻⁴ M tartrazine
