Question

A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. the table shows the amount of each solution used. a table titled acidity, with liters, acid concentration, ad total. the first row is x percent acid, with 4, x, and blank. the second row shows 40 percent acid, with 10, 0.40, and 4. the third row shows mixture, with 14, 0.30, and blank. what is the value of x, the acid concentration of the first solution?

Answer 1

The answer is 0.05

Explanation

So to finish the first row, the last blank would be 4 * x, or 4x. To finish the last row, the last blank would be 14*0.30, or 4.2. So the linear equation would be:

4x + 4 = 4.2

Now to solve:

4x + 4 = 4.2

-4 -4

4x = 0.2

/4 /4

x = 0.05

Therefore, the acid concentration of the first solution, x, is 0.05