Question 828077: Oxalic acid is one of the finest available wood-bleaching agents. It is an acid, and the concentration used is critical to both safety and the bleaching result. Daulton plans to use the acid on a wood table to lighten dark streaks and colorations in the wood so that the wood will stain to a uniform colour.
He finds two solutions in the workshop. Solution 1 has a concentration of 0.05 g/mL, and Solution 2 has a concentration of 0.01 g/mL. He starts with 150 mL of Solution 1, and he needs to add Solution 2 to get a final solution with a concentration of 0.025 g/mL. He uses the following formula to determine the amount of Solution 2 required.
C(x)= (amount of oxalic acid in Solution 1 + amount of oxalic acid in Solution 2)/(amount of Solution 1 + amount of Solution 2)
For this question, after substituting known values, the following rational equation is obtained:
0.025=[(0.05)(150)+0.01x]/(150+x)
Determine how much of Solution 2 needs to be added.
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Your formula appears to be correct. Just solve for your x. You should notice according to the given values, you might be able to do the computation in your head. Cutting concentration in half, you would sense 150 ml. of both solutions of the acid.
Check the lesson for this, linked in my profile, Mixtures, One Material Quantity Unknown.
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