The concentration of a solution is 7.5 % that contains ‘X’ g of sugar dissolved in 320g
of solution. Find the value of ‘X’.
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Answer: X = 25.9 g.
Explanation:
w/w% of concentration = 7.5%
Mass of solvent = 320 g
∴ Mass of solution = (320 + X) g
Now, we know,
w/w% of conc. = (Mass of solute)/(Mass of solution) × 100%
=> 7.5 = 100X/(320 + X)
=> 7.5(320 + X) = 100X
=> 100X = 2400 + 7.5X
=> 100X - 7.5X = 2400
=> 92.5X = 2400
=> X = 24000/925 = 25.9 g.
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