Question #52375

A 100 mL sample of a 6.0 mol/L solution of H2SO4 is diluted to a final volume of 500 mL. What is the concentration of the diluted solution?

Expert's answer

Answer on Question #52375 – Chemistry – Inorganic Chemistry

Question:

A 100 mL sample of a 6.0 mol/L solution of H₂SO₄ is diluted to a final volume of 500 mL. What is the concentration of the diluted solution?

Answer:

Molar concentration or molarity is most commonly expressed in units of moles of solute per litre of solution.


c=nVc = \frac{n}{V}


Here, n is the amount of the solute in moles, n is the number of molecules present in the volume V (in litres).

In our case is the amount of the solute does not change, but change the volume of solution.

That’s why we can write the following expression:


n=c1V1=c2V2n = c_1 V_1 = c_2 V_2


then


c2=c1V1V2=6.0+0.10.5=1.2mol/Lc_2 = \frac{c_1 V_1}{V_2} = \frac{6.0 + 0.1}{0.5} = 1.2 \, \text{mol/L}

Answer:

The concentration of the diluted solution of H₂SO₄ is 1.2 mol/L.

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