kparks9
contestada

Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 9% hydrochloric acid solution. Find the amount of 12% solution and the amount of 6% solution she should mix to get this solution.


PLEASE HELP ME
​

Respuesta :

MathPhys

Answer:

Step-by-step explanation:

So we need to balance two things here.  The overall volume, and the amount of hydrochloric acid.

Let's say x is the volume of the 12% solution and y is the volume of the 6% solution.

The sum of the volumes equals the total volume:

x + y = 24

And the sum of the amounts is the total amount:

0.12 x + 0.06 y = 0.09 (24)

We now have two equations and two variables.  We can solve this system of equations with either substitution or elimination.  Using substitution:

x = 24 - y

0.12 (24 - y) + 0.06 y = 0.09 (24)

2.88 - 0.12 y + 0.06 y = 2.16

0.72 = 0.06 y

y = 12

x = 24 - 12 = 12

So she needs to mix 12 ounces of 12% solution with 12 ounces of 6% solution to get 24 ounces of 9% solution.

The amount of 12% solution and the amount of 6% solution Doreen Schmidt should mix to obtain 9% hydrochloric acid solution is 12 ounces each.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount of 12% solution needed to be mixed be represented by x, while the amount of 6% solution needed to be mixed be represented by y.

Now, since the total amount of solution needed to be made is 24 ounces, therefore, an equation can be formed as,

x+y=24

Solve the equation of x,

x=24 - y

Also, the total concentration of the combined should be 9%, therefore, we can write,

(12% of x) + (6% of y) = 9% of 24

0.12x + 0.06y = (0.09×24)

Substitute the value of x,

0.12(24-y) + 0.06y = 2.16

2.88 - 0.12y + 0.06y = 2.16

y = 12 ounces

substitute the value of y in the equation of x,

x = 24 - y

x = 24 - 12

x = 12

Hence, the amount of 12% solution and the amount of 6% solution Doreen Schmidt should mix to obtain 9% hydrochloric acid solution is 12 ounces each.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2