How much would the freezing point of water decrease if 4 mol of sugar were added to 1 kg of water(K=1.86 C/mol/kg for water and i=1 for sugar

Question

asked Feb 23, 2020 187k views

2 Answers

Luis Nolazco · Answer 1 · 2020-02-28T03:04:28+0000

Answer: The freezing point of water will decrease by 7.44 K.

Step-by-step explanation

Moles of sugar = 4 moles

Mass of water = 1 kg

i = van't Hoff factor of sugar = 1

K_f= 1.86 K kg/mol

$\Delta T_f=ik_f* molality$

$\Delta T_f=1* 1.86 K kg/mol* (4 mol)/(1 kg)=7.44 K$

$\Delta T_f=7.44 K$

The freezing point of water will decrease by 7.44 K. .