Question

1000 gm of 1 (m) sucrose solution in water is cooled to - 3.554-degree centigrade. What mass of ice would be separated out in nearest possible integers in gm at this temperature?

For water $K_f$ = 1.86 $Kmo{l}^{-1}kg$

• A. 353 gram
• B. 300 gram
• C. 400 gram
• D. 35 gram

Answer 1

The correct option is A 353 gram

We have,

$\Delta T_f=K_f\ast m$

3.554 = 1.86 * m

m = 1.911

we have, $m=\frac{massofsolute}{molarmassofsolute\ast massofsolvent}$

$1.911=\frac{x}{342\ast 1}$

mass of solute in solution = 653.84 g

so, mass of mass separated = 1000 - 653.84 = 353 gm