To a solution weighing 200 g with a mass fraction of glucose 10% was added 50 cm3 of water (water density 1 g / cm3).
May 28, 2021 | education
| To a solution weighing 200 g with a mass fraction of glucose 10% was added 50 cm3 of water (water density 1 g / cm3). Determine the mass fraction of glucose in the resulting solution
1.Let’s find the mass of glucose in the solution.
W = m (substance): m (solution) × 100%,
hence m (substance) = (m (solution) × w): 100%.
m (substance) = (200 g x 10%): 100% = 20 g.
Or:
200 g – 100%,
x- 10%,
x = (200 g × 10%): 100 = 20 g.
2. Let’s find the mass of water.
V = m: ρ,
m = V ρ.
m = 50 cm3 × 1 g / cm3 = 50 g.
3.m (solution) = m (water) + = m (substance).
m (solution) = 50 g + 20 g = 70 g.
4.Let’s find the mass fraction of a substance by the formula:
W = m (substance): m (solution) × 100%,
W = (20g: 70g) × 100% = 28.57%.
Answer: 28.57%.
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