The solubility of sugar is 203.9 g/100 g H2O at 20°C. To make candy from crystallized sugar, 300.0 g of sucrose is dissolved in 75 g of water at 100°C. To the nearest gram, how much sugar crystallized out of the saturated solution when it cooled to 20 C?

Respuesta :

75 g of water at 20 degrees C would hold dissolved (203.9 g) x (75/100) = 
152.9 g of sugar. 

(300.0 g initially) - (152.9 g remaining in solution) = 147.1 g sugar crystallize out 

So answer A.

Answer : The amount of sugar crystallized out of the saturated solution when it cooled to [tex]20^oC[/tex] is, 147 grams.

Solution :

First we have to calculate the amount of sugar remains in the solution.

As, 100 gram of water contains 203.9 gram of sugar

So, 75 gram of water contains [tex]\frac{203.9g}{100g}\times 75g=152.9g[/tex] of sugar

Now we have to calculate the amount of sugar crystallized out of the saturated solution.

[tex]\text{The amount of sugar crystallized out}=\text{Initial sugar}-\text{Remaining in the solution}[/tex]

[tex]\text{The amount of sugar crystallized out}=300g-152.9g=147.1=147g[/tex]

Therefore, the amount of sugar crystallized out of the saturated solution when it cooled to [tex]20^oC[/tex] is, 147 grams.