Sugar is easily soluble in water and has a molar mass of 342.30 g/mol. What is the molar concentration of a 259.8 mL aqueous solution prepared with 73.1 g of sugar?

Respuesta :

Answer:

[tex]M=0.822M[/tex]

Explanation:

Hello,

In this case, given the mathematical definition of molar concentration as the moles of solute divided by the liters of solution:

[tex]M=\frac{n}{V}[/tex]

We can easily compute it by firstly computing the moles of sugar by using its molar mass:

[tex]n=73.1g*\frac{1mol}{342.30g} =0.214mol[/tex]

After that, we compute the concentration by realizing 259.8 mL equals 0.2598 L:

[tex]M=\frac{0.214mol}{0.2598L}\\ \\M=0.822mol/L[/tex]

Or just:

[tex]M=0.822M[/tex]

Considering molar units as mol/L

Best regards.

The molar concentration of the solution is 0.82 M

We'll begin by by converting 259.8 mL to L. This can be obtained as follow:

1000 mL = 1 L

Therefore,

259.8 mL = 259.8 / 1000

259.8 mL = 0.2598 L

Thus, 259.8 mL is equivalent to 0.2598 L.

Next, we shall determine the number of mole of the sugar. This can be obtained as follow:

Molar mass of sugar = 342.30 g/mol.

Mass of sugar = 73.1 g

Mole of sugar =?

Mole = mass / molar

Mole = 73.1 / 342.30

Mole of sugar = 0.214 mole

Finally, we shall determine the molar concentration of the sugar. This can be obtained as follow:

Mole of sugar = 0.214 mole

Volume = 0.2598 L

Molarity =?

Molarity = mole / Volume

Molarity = 0.214 / 0.2598

Molarity = 0.82 M

Therefore, the molar concentration of the solution is 0.82 M

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