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A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used. What is the value of x, the acid concentration of the first solution? 0.05 0.10 0.15 0.20 Mark this and return

User Chawn
by
6.4k points

2 Answers

3 votes

Answer:

A. 0.05

Explanation:

edge

User Thomashw
by
6.1k points
3 votes

Given that amount of first acid solution = 4 liters

Let concentration of the first acid solution = x

then effective amount of first solution = 4x


Given that amount of second acid solution = 10 liters

Givn that concentration of the second acid solution = 40% = 0.4

then effective amount of second solution = 0.4(10)


Then amount of resulting acid solution = (4+10) liters

Givn that concentration of the resulting acid solution = 30% = 0.3

then effective amount of resulting solution = 0.3(4+10)


Combining all those results gives equation

4x +0.4(10) = 0.3(4+10)

4x +4 = 0.3(14)

4x +4 = 4.2

4x = 0.2

x=0.05


Hence final answer is 0.05 or you can say 5%.



User Illy
by
6.7k points
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