How much of the 80% solution has been used in the entire process? - ProProfs Discuss
Topics
Products
Follow Us:

How much of the 80% solution has been used in the entire process?
There are two solutions of sulphuric acid (acid+ water) with concentration of 50% and 80% respectively. They are mixed in a certain ratio to get a 62% sulphuric acid solutions. This solution is mixed with 6 litres of water to get back 50% solution.



A. 15 liters
B. 12 liters
C. 10 liters
D. None of these

This question is part of Averages Level 1
Asked by Wyatt Williams, Last updated: Jun 30, 2020

+ Answer
Request

2 Answers

John Smith

John Smith

Answered Oct 26, 2016

10 liters
1
 1

John Adney

John Adney

Replied on Aug 22, 2017

Explanation please

E. Good

E. Good

Answered Mar 28, 2019

The correct answer to this question is C,10 liters. This questions has to do with averages.In relation to mathematics, an average is defined as a calculated central value of a set of numbers. This average is based onthe two solutions of sulphuric acid (acid+ water) with concentration of 50% and 80% respectively. Here is the math equation: 0.62 = [.50xn1 + .80 x n2] /[n1 + n2]

–> 0.62 n1 + 0.62 n2 = .5 n1 + .8 n2

–> .12 n1 = .18 n2 –> 2 n1 = 3 n2 –> n1/n2 = 3/2 ………(i)

n3=(n1 + n2) litres of 62 % acid sol. is mixed with 6 lit of water (pure water is used so concentration of it is 0% --it doesnt contain any sulphuric acid at this stage).



.50 = [.62 x n3 + 0 x 6] /[n3 + 6]

.5 n3 + 3 = .62 n3

–> .12 n3 = 3 –> n3 = 300/12 –> n3 = 25 lit.

–> n1 + n2 = 25



putting n1= (3/2).n2 from (i)

(3/2).n2 + n2 = 25

Then we arrive at the answer –> 5/2 . n2 = 25 –> n2 = 10 lit.

 

Search for Google images
Select a recommended image
Upload from your computer
Search for Google images
Select a recommended image
Upload from your computer
Search for Google images
Select a recommended image
Upload from your computer

Email Sent
We have sent an email to your address "" with instructions to reset your password.