Single Choice

What is the concentration of a solution of 2,000 grams of water in which 684 grams of sucrose, $$\displaystyle { C }_{ 12 }{ H }_{ 22 }{ O }_{ 11 }$$ is dissolved?

A25 molar
B0.5 molal
C1 molal
Correct Answer
D5 molar

Solution

The concentration of a solution of 2,000 grams of water in which 684 grams of sucrose, $$C_{12}H_{22}O_{11}$$ is dissolved is 1 molal.

Molar mass of sucrose is 342 g/mol. 684 g of sucrose corresponds to $$\displaystyle \dfrac {684}{342} = 2$$ moles.

Mass of water is 2000 g or 2 kg. The molality of solution is the number of moles of sucrose present per kg of water. It is
$$\displaystyle \dfrac {2mol}{2kg}=1 m$$


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