Question:
A solution of sugar is obtained by mixing 200g of its 25% solution and 500g of its 40% solution (both by mass). The mass percentage of the resulting sugar solution is ______ (Nearest integer)
A solution of sugar is obtained by mixing 200g of its 25% solution and 500g of its 40% solution (both by mass). The mass percentage of the resulting sugar solution is ______ (Nearest integer)
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To calculate the mass percentage of a solution, divide the mass of solute by the total mass of the solution and multiply by 100.
Updated On: Mar 22, 2025
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Correct Answer: 36
Solution and Explanation
Given:
- Solution (I): Mass of sugar = 200 g, sugar percentage = 25%
- Solution (II): Mass of sugar = 500 g, sugar percentage = 40%
Mass of sugar in solution (I): \[ \frac{25}{100} \times 200 = 50 \, \text{g} \] Mass of sugar in solution (II): \[ \frac{40}{100} \times 500 = 200 \, \text{g} \] Total mass of solution = 200 + 500 = 700 g
Total mass of sugar = 50 + 200 = 250 g Now, the final percentage of sugar is: \[ \frac{250}{700} \times 100 = 35.71 \approx 36 \] Thus, the mass percentage of sugar is 36%. The correct answer is (36).
- Solution (I): Mass of sugar = 200 g, sugar percentage = 25%
- Solution (II): Mass of sugar = 500 g, sugar percentage = 40%
Mass of sugar in solution (I): \[ \frac{25}{100} \times 200 = 50 \, \text{g} \] Mass of sugar in solution (II): \[ \frac{40}{100} \times 500 = 200 \, \text{g} \] Total mass of solution = 200 + 500 = 700 g
Total mass of sugar = 50 + 200 = 250 g Now, the final percentage of sugar is: \[ \frac{250}{700} \times 100 = 35.71 \approx 36 \] Thus, the mass percentage of sugar is 36%. The correct answer is (36).
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