A Chemist has 100g of 25% acid solution. How much of these solution he needs to drain and replace with 70% acid solution to obtain 100g of 60% acid solution?

Question

09-12-2017
Mathematics

contestada

A Chemist has 100g of 25% acid solution. How much of these solution he needs to drain and replace with 70% acid solution to obtain 100g of 60% acid solution?

Respuesta :

Otras preguntas

Which statement is TRUE about understanding the relationship between brain size and intelligence?a. The Encephalization Quotient is the preferred method to unde

The estimated rainfall for a given drainage basin is 515 mm/year, the evaporation rate has been measured to be 245 mm/year, and the total surface area of the ba

Why are human beings aggressive? Discuss aggressive behaviors in various types of relationships (e.g., friendships, communal, passionate, and affiliations).

Regarding this array: _____ is the use of living things to manufacture improved foods and other products. c. Biotechnologya. Bioenergetics b. Bioavailability c.

Explain the reasons Socrates gives in the Crito for why escaping from prison, despite the unjust verdict of the jury at his trial, would be the wrong thing to d

Which one of the following statements is correct? a) Common shareholders elect the corporate directors while the preferred shareholders generally do not have vo

Explain the causes of high cortisol levels?

You are hritik/Ritika.One of your classmates has decided to skip school without informing the teachers. Write a dairy entry about what you did and what happened

Public policy gives parties the freedom to enter into contracts as they choose subject to which exception? a) Unfair transfers of risk b) All of the above c) Il

How to Overcome Language Barriers when Studying Abroad?

tynollette tynollette · Answer 1 · 2017-12-09T08:12:26+01:00

to solve this kind of problem, there are two concepts: the total amount of solution and the total amount of acid

in this case, suppose there are x grams of the 25% solution, y grams of the 70% of soltuion
x + y = 100 => y= 100-x
0.25x + 0.7y =0.6 *100 =60
replace y with 100-x: 0.25x + 0.7(100-x)=60
0.45x=10
x= 22.22
100-22.22=77.78
so he needs to drain about 77.78 grams of the solution.

BladeRunner212 BladeRunner212 · Answer 2 · 2019-11-02T18:07:25+01:00

77.78 grams

Further explanation

Given:

A chemist has 100g of 25% acid solution.

Question:

How much of these solution he needs to drain and replace with 70% acid solution to obtain 100g of 60% acid solution?

The Process:

We will solve the chemical problem of mixed concentration. A chemist wants to get an acid solution with new concentrations. He needs to drain the initial solution and replace it with another concentration of an acid solution.

Let x grams 25% acid solution mixed with y grams of 70% acid solution to obtain 100g of 60% acid solution.
Remember, a chemist first had 100 grams of acid solution. Then the part he needs to drain is (100 - x) grams.

Let's arrange the equations.

[tex]\boxed{ \ x + y = 100 \ grams \ } \rightarrow \boxed{ \ y = 100 - x \ } \ ....... (Equation-1)[/tex]

[tex]\boxed{ \ \frac{(x \ grams)(25 \%) + (y \ grams)(70 \%)}{100 \ grams} = 60 \% \ } ....... (Equation-2)[/tex]

We work on Equation-2 first.

[tex]\boxed{ \ 25x + 70y = 6000 \ } \rightarrow \boxed{ \ 5x + 14y = 1200 \ } \ ... (Equation-2)[/tex]

Substitute Equation-1 to Equation-2.

[tex]\boxed{ \ 5x + 14(100 - x) = 1200 \ }[/tex]

[tex]\boxed{ \ 5x + 1400 - 14x = 1200 \ }[/tex]

[tex]\boxed{ \ 5x - 14x = 1200 - 1400 \ }[/tex]

[tex]\boxed{ \ - 9x = -200 \ }[/tex]

Therefore, [tex]\boxed{ \ x = 22.22 \ grams \ }[/tex]

Thus, he needs to drain [tex]\boxed{\boxed{ \ 100 \ grams - 22.22 \ grams = 77.78 \ grams \ }}[/tex]

Learn more

How many liters of the 50% solution and how many liters of the 90% solution will be used? https://brainly.com/question/13034221
Calculating the pH value of weak base https://brainly.com/question/9040743
About electrolyte and nonelectrolyte solutions https://brainly.com/question/5404753

Keywords: a chemist, has 100g, 25% acid solution, how much, he needs, to drain, and replace with, 70%, to obtain, 60%, mixed, initial, new