doreen schmidt is a chemist. she needs to prepare 24 ounces of a 10% hydrochloric acid solution. find the…

doreen schmidt is a chemist. she needs to prepare 24 ounces of a 10% hydrochloric acid solution. find the amount of 12% solution and the amount of solution.\n| | concentration rate | ounces of solution | ounces of pure acid |\n|--|--|--|--|\n| first solution | 6% | x | 0.06x |\n| second solution | 12% | y | 0.12y |\n| mixture needed | 10% | 24 | 0.1(24) |\nhow many ounces of the 12% acid solution should be in the mixture?\n ounces

doreen schmidt is a chemist. she needs to prepare 24 ounces of a 10% hydrochloric acid solution. find the amount of 12% solution and the amount of solution.\n| | concentration rate | ounces of solution | ounces of pure acid |\n|--|--|--|--|\n| first solution | 6% | x | 0.06x |\n| second solution | 12% | y | 0.12y |\n| mixture needed | 10% | 24 | 0.1(24) |\nhow many ounces of the 12% acid solution should be in the mixture?\n ounces

Answer

Explanation:

Step1: Set up equations

We have two - equations based on the information. First, the total amount of solution: $x + y=24$ (where $x$ is the amount of 6% solution and $y$ is the amount of 12% solution). Second, the amount of pure - acid equation: $0.06x + 0.12y=0.1\times24$. From $x + y=24$, we can express $x = 24 - y$.

Step2: Substitute $x$ into the acid - equation

Substitute $x = 24 - y$ into $0.06x+0.12y = 0.1\times24$. $0.06(24 - y)+0.12y=2.4$. Expand the left - hand side: $1.44-0.06y + 0.12y=2.4$. Combine like terms: $1.44 + 0.06y=2.4$.

Step3: Solve for $y$

Subtract 1.44 from both sides: $0.06y=2.4 - 1.44$. $0.06y=0.96$. Divide both sides by 0.06: $y=\frac{0.96}{0.06}=16$.

Answer:

16