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zhenek
1 month ago
9

Leonard adds 5 grams of sugar to 1 liter of water to make one sugar solution. Then he adds 10 grams of sugar to 1 liter of water

to make another sugar solution. Which statement correctly compares these solutions?
Chemistry
1 answer:
castortr0y [3K]1 month ago
7 0

Answer:

Please refer to the explanation below.

Explanation:

There are numerous claims and methods to compare both solutions, the most common being concentration (or molarity) and %m/V.

Though both comparisons are valid, molarity is preferable since it provides a single figure indicating which solution is more concentrated.

To calculate the molarity of any solution, we use this formula:

M = n/V

n: the number of moles of solute.

V: the volume of the solution in liters.

As the solvent is water and the solute is a solid, the volume of the solution equals the solvent’s volume.

The common type of sugar, sucrose, has the molecular formula C12H22O11, with a molar mass of 342.3 g/mol.

This allows us to calculate the moles:

n = m/MM

n₁ = 5/342.3 = 0.0146 moles

n₂ = 10/342.3 = 0.0292 moles

Now, let’s determine the concentration of each solution:

M₁ = 0.0146 / 1 = 0.0146 M

M₂ = 0.0292 / 1 = 0.0293 M

Thus, we conclude that the second solution is more concentrated than the first. In other terms, M₂ > M₁

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