Match the following aqueous solutions with the appropriate letter from the column on the right. Assume complete dissociation of electrolytes. 1. 0.17 m NH4CH3COO A. Lowest freezing point 2. 0.18 m MnSO4 B. Second lowest freezing point 3. 0.20 m CoSO4 C. Third lowest freezing point 4. 0.42 m Ethylene glycol (nonelectrolyte) D. Highest freezing point

 0.17 m : Highest freezing point

0.20 m : Second lowest freezing point

0.18 m : Third lowest freezing point

0.42 m ethylene glycol: Lowest freezing point

Explanation:

Depression in freezing point  is a colligative property which depend upon the amount of the solute.

where,

= change in freezing point

i= vant hoff factor

= freezing point constant

m = molality

a) 0.17 m

For electrolytes undergoing complete dissociation, vant hoff factor is equal to the number of ions it produce. Thus i =2 for , thus total concentration will be 0.34 m

b) 0.18 m

For electrolytes undergoing complete dissociation, vant hoff factor is equal to the number of ions it produce. Thus i = 2 for , thus total concentration will be 0.36 m

c) 0.20 m

For electrolytes undergoing complete dissociation, vant hoff factor is equal to the number of ions it produce. Thus i = 2 for , thus total concentration will be 0.40 m

d) 0.42 m ethylene glycol

For non electrolytes undergoing no dissociation, vant hoff factor is equal to 1 . Thus i = 1 for ethylene glycol, thus concentration will be 0.42 m

The more is the concentration, the highest will be depression in freezing point and thus lowest will be freezing point.

answer-

a. the total cost of a taxi ride includes an initial charge of approximately $3.30

solution-

in the graph,

x axis represents the distance traveled and

y axis represents the total fare

the best fit line intersects the y axis approximately at 3.30 or y-intercept is 3.30. at x=0, i.e when the taxi is still, the value of y or the cost of the fare is 3.30. that means $3.30 is the fixed charge which will be levied along with the other fare.

the slope of the line represent the cost per mile. as the best fit line is straight line, so the price per mile is constant.