
К раствору сахара массой 200 г. и массовой долей 15% прилили 150г. 10- процентного раствора сахара.
Вычислите массовую долю сахара в полученном растворе.

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Calculation of the Mass Fraction of Sugar in the Solution
To calculate the mass fraction of sugar in the solution, we need to consider the initial mass of sugar and the mass of the added sugar solution.
Given: - Initial mass of sugar = 200 g - Mass fraction of sugar in the initial solution = 15% - Mass of added 10% sugar solution = 150 g
To find the mass fraction of sugar in the final solution, we can follow these steps:
Step 1: Calculate the mass of sugar in the initial solution: - Mass of sugar in the initial solution = (Mass fraction of sugar in the initial solution) * (Initial mass of sugar) - Mass of sugar in the initial solution = 0.15 * 200 g = 30 g
Step 2: Calculate the mass of sugar in the added sugar solution: - Mass of sugar in the added solution = (Mass fraction of sugar in the added solution) * (Mass of added sugar solution) - Mass of sugar in the added solution = 0.10 * 150 g = 15 g
Step 3: Calculate the total mass of sugar in the final solution: - Total mass of sugar in the final solution = Mass of sugar in the initial solution + Mass of sugar in the added solution - Total mass of sugar in the final solution = 30 g + 15 g = 45 g
Step 4: Calculate the total mass of the final solution: - Total mass of the final solution = Initial mass of sugar + Mass of added sugar solution - Total mass of the final solution = 200 g + 150 g = 350 g
Step 5: Calculate the mass fraction of sugar in the final solution: - Mass fraction of sugar in the final solution = (Total mass of sugar in the final solution) / (Total mass of the final solution) * 100% - Mass fraction of sugar in the final solution = (45 g / 350 g) * 100% ≈ 12.86%
Therefore, the mass fraction of sugar in the final solution is approximately 12.86%.


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