Calculate the mass percent of solution obtained by mixing 100gram of 1...
Calculate the mass percent of solution obtained by mixing 100gram of 1...
**Calculation of Mass Percent of Solution**
To calculate the mass percent of the solution obtained by mixing two different urea solutions, we need to determine the total mass of the resulting solution and the mass of urea in that solution.
**Step 1: Calculate the Total Mass of the Resulting Solution**
To find the total mass of the resulting solution, we add the masses of the two urea solutions that were mixed together.
Mass of the first solution = 100 grams
Mass of the second solution = 150 grams
Total mass of the resulting solution = Mass of the first solution + Mass of the second solution
Total mass of the resulting solution = 100 grams + 150 grams
Total mass of the resulting solution = 250 grams
**Step 2: Calculate the Mass of Urea in the Resulting Solution**
To determine the mass of urea in the resulting solution, we need to calculate the masses of urea in each of the two initial solutions.
Mass percent is defined as the mass of solute divided by the mass of solution (solute + solvent), multiplied by 100.
**For the 10% urea solution:**
Mass percent = (Mass of Urea / Mass of Solution) x 100
Given that the mass percent of the 10% urea solution is 10%, we can calculate the mass of urea.
Mass percent = 10% = (Mass of Urea / 100 grams) x 100
Rearranging the equation to solve for the mass of urea:
Mass of Urea = (10% / 100) x 100 grams
Mass of Urea = 10 grams
**For the 15% urea solution:**
Mass percent = (Mass of Urea / Mass of Solution) x 100
Given that the mass percent of the 15% urea solution is 15%, we can calculate the mass of urea.
Mass percent = 15% = (Mass of Urea / 150 grams) x 100
Rearranging the equation to solve for the mass of urea:
Mass of Urea = (15% / 100) x 150 grams
Mass of Urea = 22.5 grams
**Step 3: Calculate the Mass Percent of the Resulting Solution**
To find the mass percent of the resulting solution, we divide the mass of urea in the resulting solution by the total mass of the resulting solution, and multiply by 100.
Mass percent = (Mass of Urea in Resulting Solution / Total Mass of Resulting Solution) x 100
Mass percent = (10 grams + 22.5 grams) / 250 grams x 100
Mass percent = 32.5 grams / 250 grams x 100
Mass percent = 0.13 x 100
Mass percent = 13%
Therefore, the mass percent of the solution obtained by mixing 100 grams of 10% urea solution with 150 grams of 15% urea solution is 13%.