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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

Question

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.

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Solution

Sure, let's solve this step by step:

  1. First, we need to find out how much of the solute is in each solution.

  2. For the 300 g of 25% solution: The amount of solute = 25/100 * 300 g = 75 g

  3. For the 400 g of 40% solution: The amount of solute = 40/100 * 400 g = 160 g

  4. Now, add the amounts of solute together to get the total amount of solute in the final solution: Total amount of solute = 75 g + 160 g = 235 g

  5. The total mass of the solution is the sum of the masses of the two solutions you mixed together: Total mass of solution = 300 g + 400 g = 700 g

  6. Finally, to find the mass percentage of the solute in the final solution, divide the total amount of solute by the total mass of the solution and multiply by 100%: Mass percentage = (235 g / 700 g) * 100% = 33.57%

So, the mass percentage of the resulting solution is approximately 33.57%.

This problem has been solved

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