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250 mL of a salt solution with a concentration of 15.0 g/L is mixed with 220 mL of a salt solution containing 6.0% salt (m/v).

What is the final concentration of salt in the solution in g/L?

77 g/L
25 g/L
36 g/L
28 g/L

Respuesta :

Answer:

36 g/L is the final concentration of salt in the solution.

Explanation:

Concentration of solution-1 = 15.0 g/L

Volume of solution-1 = 250 mL = 0.250  L ( 1mL = 0.001 L)

Amount of salt in 250 mL of solution-1: [tex]15.0 g/L\times 0.250 L=3.75 g[/tex]

Concentration of solution-2 = 6.0%

This means that 6 grams of salt is present in 100 mL of solution.

Volume of solution-2 = 220 mL = 0.220  L ( 1mL = 0.001 L)

Amount of salt in 220 mL of solution-2: [tex]\frac{6}{100}\times 220 g=13.2 g[/tex]

On mixing the solutions = 3.75 g + 13.2 g = 16.95

Total volume solution after mixing = 0.250 L + 0.220 L = 0.270 L

The final concentration of salt in the solution:

[tex]=\frac{16.95 g}{0.270 L}=36.06 g/L \approx 36[/tex]

36 g/L is the final concentration of salt in the solution.