Question

What mass of h2so4 (sulfuric acid) must be dissolved into 2.40 kg h2o to produce a 1.20 m solution?

Answer 1

Answer

282.47 g

Explanation

Given:

Molality of solution = 1.2 M

Kilogram of water = 2.40 kg

What to find:

Mass of H₂SO₄

Step-by-step solution:

Molality of solution is given by:

$\begin{gathered} Molality=\frac{Moles}{kilogram\text{ of water}} \\ \Rightarrow Moles=Molality\times kilogram\text{ of water} \\ Moles=1.2\times2.40=2.88\text{ mol} \end{gathered}$

The next is to convert 2.88 mol H₂SO₄ to mass.

1 mol H₂SO₄ = 98.079 g

2.88 mol H₂SO₄ = 2.88 x 98.079 = 282.47 g

The mass of H₂SO₄ (sulfuric acid) must be dissolved into 2.40 kg h2o to produce a 1.20 m solution is 282.47 g