what mass of sodium sulfate is required to form 250. ml of a solution in which the concentration of sodium ions is 0.183 m? provide answer in grams to 3 significant figures.



Answer :

The mass of sodium sulfate required to form 250mL of a solution in which the concentration of sodium ion is 0.183M is 6.53 grams.

How to calculate mass?

The mass of a substance can be calculated by multiplying the number of moles in the substance by its molar mass as follows:

Mass = no of moles × molar mass

However, according to this question, sodium sulfate is has a solution with volume 250mL with a concentration of sodium ions of 0.183M. The no of moles must first be calculated as follows:

moles = 0.183 × 0.250 = 0.046moles

Mass of sodium sulfate = 0.046 × 142.04 g/mol = 6.53 grams.

Therefore, 6.53 grams is the mass of the sodium sulfate solution.

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Oseni

The mass of sodium sulfate required to form 250 mL of solution in which the concentration of sodium ions is 0.183 would be  3.25 grams.

Stoichiometric problem

Sodium sulfate is made up of sodium and sulfate ions according to the following equation:

[tex]Na_2SO_4 --- > 2Na^+ + SO_4^2^-[/tex]

From the equation above, a mole of sodium sulfate is made from 2 moles of sodium ions and 1 mole of sulfate ions.

Recall that: mole = molarity x volume

The mole of 0.183 M sodium ion in 250 mL os solution would be:

0.250 x 0.183 =  0.04575 mol

The equivalent mole of sodium sulfate would be:

0.04575/2 = 0.022875 mol

Recall that: mass = mole x molar mass

The molar mass of sodium sulfate is 142.04 g/mol

Mass of 0.022875 mol sodium sulfate = 0.022875 x 142.04

                                                                = 3.249165 grams

3.249165 grams to 3 significant figures = 3.25 grams.

Thus, the mass of sodium sulfate required would be 3.25 grams.

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