Sodium sulfate dissolves as follows: Na2SO4(s) → 2Na+(aq) + SO42- (aq). How many moles of Na2SO4 are required to make 1.0 L of solution in which the Na concentration is 0.10 M?

Respuesta :

Answer: The number of moles of [tex]Na_2SO_4[/tex] is 0.05 moles.

Explanation:

To calculate the molarity of solution, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]

We are given:

Molarity of solution = 0.10 mol/L

Volume of solution = 1 L

Putting values in above equation, we get:

[tex]0.10mol/L=\frac{\text{Moles of sodium}}{1.0L}\\\\\text{Moles of sodium}=0.10mol[/tex]

The chemical reaction for the ionization of sodium sulfate follows the equation:

[tex]Na_2SO_4(s)\rightarrow 2Na^+(aq.)+SO_4^{2-}(aq.)[/tex]

By Stoichiometry of the reaction:

2 moles of sodium ions are produced by 1 mole of sodium sulfate

So, 0.10 moles of sodium ions will be produced by = [tex]\frac{1}{2}\times 0.1=0.05moles[/tex] of sodium sulfate.

Hence, the number of moles of [tex]Na_2SO_4[/tex] is 0.05 moles.

Answer:

Number of moles of [tex]Na_2SO_4[/tex] are required to make 1.0 L of solution is 0.05 mole.

Explanation:

Given:

[tex]Na_2SO_4(s) \ gives\ 2Na+(aq) + SO_4^2- (aq)[/tex]

Na concentration=0.10 M.

To find

The number of moles of [tex]Na_2SO_4[/tex]  which required to make 1.0 L of solution.

To find the mole value,using the molarity formula:

Molarity

[tex]$=\frac{\text { Moles of solute }}{\text { Volume of solution (in L) }}$[/tex]

As we have to find the moles of the solute but we know the molarity so,

Molarity of sodium is 0.10 M.

Therefore,

[tex]$0.10 \mathrm{~mol} =\frac{\text { Moles of sodium }}{1.0 }$[/tex]

Simplified we get,

Moles of sodium is 0.10 M.

As we know that, 2 moles of sodium ions are formed by 1 mole of sodium sulfate

Divide the moles of sodium by 2,

[tex]=0.10/2[/tex]

[tex]=0.5\ mole[/tex]

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