The mass of the solution is 200 grams, the mass fraction of the solute in water, grams-5

The mass of the solution is 200 grams, the mass fraction of the solute in water, grams-5. Find the mass of the solute and find the mass of water in the solution.

To begin with, we write down an expression to determine the mass fraction of a substance in a solution:
w (in-va) = (m (in-va) / m (solution)) * 100%
Let us express from this expression the mass of a substance:
m (in-va) = (w (in-va) * m (solution)) / 100%
Substitute the numerical values and find the mass of the substance:
m (in-va) = (w (in-va) * m (solution)) / 100% = 5 * 200/100 = 10 g.
m (solution) = m (in-va) + m (H2O)
Let us express the mass of water from here and substitute the numerical values:
m (H2O) = m (solution) -m (in-va)
m (H2O) = m (solution) -m (in-va) = 200-10 = 190 g.
Answer: you need to take 190 g of water and 10 g of the substance.



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