How many ml. of `H_(2)SO_(4)` density 1.8 g/mL containing 92.5% by volume of `H_(2)SO_(4)` should be added to 1 litre of 40% solution of `H_(2)SO_(4)` (density 1.30 g/mL) in order to prepare 50% solution of `H_(2)SO_(4)` (density 1.4 g/mL) ?

Explanation

To solve the problem step by step, we need to calculate the volume of concentrated sulfuric acid (H₂SO₄) required to prepare a 50% solution from a 40% solution. Here’s how to do it:

### Step 1: Calculate the molarity of the concentrated H₂SO₄ solution.
Given:
- Density of concentrated H₂SO₄ = 1.8 g/mL
- Volume percent of H₂SO₄ = 92.5%

The molarity (M₁) can be calculated using the formula:
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