Question

A student dissolves 10 grams of sugar in enough water to make 25 ml of solution. What is the concentration of the solution

Answer 1

The concentration of the sugar solution is calculated using the mass/volume percent formula. By dissolving 10 grams of sugar in 25 ml of water, the student created a solution with a concentration of 40% m/v.

Step-by-step explanation:

To determine the concentration of the sugar solution prepared by the student, we need to use the concept of mass/volume percent (m/v %). This is a measure of the concentration of a solution in terms of the mass of solute per volume of solution.

In the given scenario, the student dissolved 10 grams of sugar in enough water to make a 25 ml solution. To calculate the mass/volume percent, we use the formula:

Mass/volume percent (m/v %) = (mass of solute / volume of solution) × 100

Plugging in the values we have:

Mass/volume percent = (10 g / 25 ml) × 100 = 40%

This means the concentration of the solution is 40% m/v.

Answer 2

Answer: The concentration of given solution is 11.68 M.

Step-by-step explanation:

Given: Mass of solute = 10 g

Volume of solution = 25 mL

Convert mL into L as follows.

`1 mL = 0.001 L\\25 mL = 25 mL * (0.001)/(1 mL)\\= 0.025 L`

Number of moles is the mass of substance divided by its molar mass. The moles of sugar (molar mass = 342.3 g/mol) is as follows.

`No. of moles = (mass)/(molar mass)\\= (10 g)/(342.3 g/mol)\\= 0.0292 mol`

Molarity is the number of moles of solute present in a liter of solution.

Hence, concentration of given solution is calculated as follows.

`Molarity = (no. of moles)/(Volume (in L))\\= (0.0292 mol)/(0.025 L)\\= 11.68 M`

Thus, we can conclude that the concentration of given solution is 11.68 M.