Calculate the mass fraction of sulfuric acid in the solution obtained by merging in 100 grams

Calculate the mass fraction of sulfuric acid in the solution obtained by merging in 100 grams of a 15% solution and 250 grams of a 20% solution.

First, let’s find how much g of salt is contained in each solution. Let’s use the formula for the mass fraction: w = m (salt) / m (solution) * 100%:

15% = x / 100 * 100. Hence x = 15 g is the mass of salt in the first solution.

20% = y / 250 * 100. Hence y = 50 g is the mass of salt in the second solution.

w = (15 + 50) / (100 + 250) * 100% = 65/350 * 100% = 18.6% is the mass fraction of salt in the final solution after combining the initial ones.