24.67 liters of the 4.5% solution are added.
As per the known fact, the relation between concentration and volume of solution is -
[tex] C_{1} V_{1} + C_{2} V_{2} = C_{final}V_{final}[/tex]
Let the [tex] V_{2}[/tex] be x. So, final volume will be (18 + x).
Keep the values in formula to find the value of volume of solution required for dilution -
8%×18 + 4.5%×x = 6%×(18 + x)
Rewriting the equation -
0.08×18 + 0.045×x = 0.06(18 + x)
Performing multiplication to find the value of x -
1.44 + 0.045x = 1.08 + 0.06x
Rewriting the equation -
1.44 - 1.08 = 0.06x - 0.045x
Performing subtraction on both sides of the equation -
0.37 = 0.015x
Shifting 0.015 to other side fo equation and performing division
x = 0.37 ÷ 0.015
x = 24.67 liters
Hence, 24.67 liters of 4.5% solution should be added to make a 6% solution.
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