In: Chemistry
To make sweet tea, a cook dissolved 147.023 grams of sugar (C6H6O2, FW = 110 g/mol) in 5.07 L of water at 30.71 °C. What is the molality of this sugar solution?
Volume of water = 5.07 L = 5070 mL
density of water = 0.997 g/mL
mass of 1 mL of water = 0.997 grams
mass of 5070 mL of water = ?
= 0.997x5070/1= 5054.79 grams
mass of water ( solvent ) = 5054.79 grams = 5.0548 kg
Mass of sugar =(s0lute) = 147.023 grams
Formula mass of SUgar = 110 gram/mole
number of moles of sugar = mass of sugar/molar mass = 147.023/110= 1.3366 moles
number of moles of sugar = 1.337 moles
Molality = number of moles of solute/mass of solvent in Kg
Molality = 1.337/5.0548 = 0.264M
Molality of the sugar solution = 0.264M