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. what is the value of x, the acid concentration of the first solution? 0.15 0.20 0.05 0.10

Explanation:

Step1: Set up the equation

The total acid from the first solution is \(4x\), from the second solution is \(10\times0.40 = 4\), and from the mixture is \(14\times0.30=4.2\). So the equation is \(4x + 4=4.2\).

Step2: Solve the equation

Subtract \(4\) from both sides: \(4x=4.2 - 4\), so \(4x = 0.2\). Then divide both sides by \(4\): \(x=\frac{0.2}{4}=0.05\).

Answer:

\(0.05\)