Question 46 of 50intermediate🔧 ApplyNumerical2 marks

A solution is obtained by mixing 300 g of 25% solution and 400 g of 40% solution by mass. Calculate the mass percentage of the resulting solution.

Correct Answer

The mass percentage of the resulting solution is 33.57%.

Exercise: EXERCISES | Q: 1.7 | (Chapter: 28)
For More Understanding

Explanation

This numerical problem requires calculating the mass percentage of a solution formed by mixing two solutions of different concentrations. The key concept from the textbook is that Mass % = (Mass of component / Total mass of solution) × 100. We need to find the total mass of solute from both solutions and divide by the total mass of the mixed solution.

Solution Steps

  1. Step 1: Calculate mass of solute in first solution: Mass of solute = 25% of 300 g = (25/100) × 300 = 75 g

  2. Step 2: Calculate mass of solute in second solution: Mass of solute = 40% of 400 g = (40/100) × 400 = 160 g

  3. Step 3: Calculate total mass of solute in resulting solution: Total solute = 75 g + 160 g = 235 g

  4. Step 4: Calculate total mass of resulting solution: Total mass = 300 g + 400 g = 700 g

  5. Step 5: Calculate mass percentage: Mass % = (235 g / 700 g) × 100 = 33.57%

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