1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
notsponge [240]
3 years ago
10

A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third

contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters

The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters

The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters

Step-by-step explanation:

The percentage of acid in the first acid solution = 20%

The percentage of acid in the second acid solution = 40%

The percentage of acid in the third acid solution = 70%

The volume they want to use the three solutions to obtain a mixture of = 56 liters

The concentration of the mixture they want to obtain = 50%

The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included

Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture

Therefore, from the question parameters, we get;

x + y + z = 56...(1)

z = 2·y...(2)

0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)

Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;

10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280

2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168

2·y + 5·z = 168

From equation (2) and (4), we get;

2·y + 5·z = 2·y + 5×(2·y) = 168

12·y = 168

y = 168/12 = 14

The volume of the second acid solution in the mixture, y = 14 liters

From equation (2), we have;

z = 2·y

∴ z = 2 × 14 = 28

The volume of the third acid solution in the mixture, z = 28 liters

From equation (1), we get;

x + y + z = 56

x = 56 - (y + z)

∴ x = 56 - (14 + 28) = 14

The volume of the first acid solution in the mixture, x = 14 liters.

You might be interested in
A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The
stealth61 [152]

Answer:

Step-by-step explanation: I need help

3 0
2 years ago
Help please I’ll make it brainliest!!!!!
mr Goodwill [35]

Step-by-step explanation:

it is very simple, once you remember that "kilo" means 1000, "mili" means 1/1000, and "centi" means 1/100.

and therefore 1 cg = 10 mg, or 1 cm = 10 mm.

"deci" means 1/10.

and therefore 1 dm = 100 mm, 1dg = 100 mg.

1.

9.32 kg = 9.32×1000 = 9320 g

2.

1.429 g = 1.429/1000 = 0.001429 kg

3.

287 g = 287/1000 = 0.287 kg

4.

4.6 L = 4.6×1000 = 4600 mL

5.

0.119 L = 0.119×1000 = 119 mL

6.

9936 mL = 9936/1000 = 9.936 L

7.

26793 mL = 26793/1000 = 26.793 L

8.

0.06 L = 0.06×1000 = 60 mL

9.

170 cg = 170×10 = 1700 mg

10.

2674 cm = 2674/100 = 26.74 m

11.

9.05 mm = 9.05/100 = 0.0905 dm

12.

2 L = 2×1000 = 2000 mL

13.

62.4 L = 62.4×1000 = 62400 mL

14.

99.9 mm = 99.9/1000 = 0.0999 m

15.

4.34 g = 4.34×100 = 434 cg

16.

10 km = 10×1000 m = 10×1000×1000 = 10000000 mm

17.

65 cL = 65/100 = 0.65 L

18.

105 mL = 105/1000 = 0.105 L

19.

0.27 g = 0.27×100 = 27 cg

20.

7777 m = 7777/1000 = 7.777 km

4 0
2 years ago
How many different Arrangements of the letters in the word color are there
Savatey [412]
5!/2!=120/2= 60 arrangements
8 0
3 years ago
If you could do this you’re the best and you’ll also get a lot of points thanks
Andre45 [30]

Answer:

take the answer on picture which I attached with your question

3 0
3 years ago
I’ll give brainliest if someone can explain that answer
Zanzabum

Answer:

no

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Aaron met his friends at the coffee house and bought 3 cups of latte and 2 cups of regular coffee. Each cup of latte costs $1.02
    5·1 answer
  • Solve 4dy+12=7dy for y
    8·1 answer
  • Find the angle between the given vectors to the nearest tenth of a degree.
    5·2 answers
  • Let C ( t ) be the number of US cell phone subscribers in millions in t years since 1995. A linear model for the data is F ( t )
    9·1 answer
  • Sophia uses 334 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter
    12·1 answer
  • Find a real number between -√9 and √25.<br> a.-4<br> b.1<br> c.-5<br> d.6
    5·2 answers
  • Choose all the problems that you will solve by regrouping. A. 65 – 56 = ? B. 28 – 15= ? C. 16 – 6 = ? D. 74 – 38 = ?
    6·1 answer
  • Assume that a driver faces the following loss distribution:Outcome Probability12,000 0.15 0 0.851. What is the expected loss?2.
    11·1 answer
  • Is 1/8 and 4/32 a proportion?
    9·2 answers
  • Can someone help me please​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!