Ask question

Ask question

All categories

3 years ago

13

How much pure acid should be mixed with 7 gallons of a 40% acid solution in order to get a 70% acid solution?

2 answers:

Fed [463]3 years ago

6 0

Answer:

Step-by-step explanation:

raketka [301]3 years ago

5 0

In this item, we are going to use the concepts of total mass balance and component mass balance. We let the amount of the pure acid be equal to x.

Total mass balance:
7 + x = 7 + x

Hence, the total amount of the resulting solution is 7 + x

Component mass balance,
(1)(x) + (0.4)(7) = (0.7)(7 + x)

The value of x from the component mass balance is equal to 7.

<em>Answer: 7 gallons</em>

You might be interested in

A packing company makes boxes with each measuring 3 feet what is the volume of the boxes boxes are put in a larger rectangle or

dimulka [17.4K]

V=L*W*H
V= 3*3*3
V= 9*3
V= 27

4 0

3 years ago

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

3 years ago

Read 2 more answers

I need help solving |5+2j|=9 please

V125BC [204]

$5 + 2j = 9 \\ j = 2$
$5 + 2j = - 9 \\ j = - 7$

3 0

3 years ago

Find the area of each sector shown (the shaded section)

mihalych1998 [28]

Answer:

The area of the sector (shaded section) is 29.51 $m^{2}$ .

Step-by-step explanation:

Area of a sector = (θ ÷ 360) $\pi$ $r^{2}$

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = $\frac{diameter}{2}$

= $\frac{26}{2}$ = 13 m

θ = 360 - (180 + 160)

= 360 - 340

= $20^{o}$

Thus,

area of the given sector = $\frac{20}{360}$ x $\frac{22}{7}$ x $(13)^{2}$

= $\frac{20}{360}$ x x $\frac{22}{7}$ x 169

= 29.5079

The area of the sector (shaded section) is 29.51 $m^{2}$ .

4 0

3 years ago

Ana's statistics skills have been improving during her senior year at Fletcher High School. On her first end-of-the-week assessm

Virty [35]

It will be 89 because it increases by 4 each time

5 0

3 years ago