GIVING BRAINLY AND 20 POINTS
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The reciprocal of the density, ρ, of a mixture is equal to the sum of the reciprocal of the densities of the constituents multiplied by their respective proportions () in the solution,
The percentage of water in the 2.75 g/mL SPT solution is
Reason:
Known parameter:
Density of SPT = 3.10 g/mL
Density of water = 1.00 g/mL
Required:
The percentage of water in 2.75 g/mL SPT solution
Solution:
Let <em>x</em> the volume of water added per 100 mL of 2.75 g/mL SPT solution, we have;
Mass of water in the solution = x mL × 1.00 g/mL = x g
Mass of commercial SPT = (100 - x) mL × 3.10 g/mL = (310 - 3.1·x) g
The density of the 2.75 g/mL SPT solution is given as follows;
100 mL × 2.75 g/mL =( 310 - 2.1·x) g
310 - 275 = 2.1·x
Given that the reference quantity of the proportion of water in the solution is 100 mL of the 2.75 g/mL SPT solution, the percentage (per 100) of water in the overall solution is the value of <em>x</em>
Therefore;
- The percent of the SPT solution that must consist of water to give an overall density of 2.75 g/mL is x =
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