A container holds 100 ml of a solution that is 25 ml acid. If n ml of a solution that is 70% acid is added, the function C(n)= 25 + 0.7n / 100 + n gives the concentration, C, as a function of the number of ml added, n. Express n as a function of C and determine the number of ml that needed to be added to have a solution that is 50% acid. Round to 2 decimal places. n(C)=�   n(50)=� ml

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A container holds 100 ml of a solution that is 25 ml acid. If n ml of a solution that is 70% acid is added, the function C(n)= 25 + 0.7n / 100 + n gives the concentration, C, as a function of the number of ml added, n. Express n as a function of C and determine the number of ml that needed to be added to have a solution that is 50% acid. Round to 2 decimal places.

n(C)=�  

n(50)=� ml

Expert Solution
Step 1

The given function is,

Cn=25+0.7n100+n .

The function is used to define the expression or formula in terms of the variable. The expression is separated by the equal sign. The  If the variable is one or more than that it is possible and it exists depending on the given problem.

We have to find the number of ml that needed to be added to have a solution that is 50% acid:

By converting the given equation in terms of C.

After converting the function in terms of C then put 50 in place of C to get the number.

 

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