Which is more concentrated a 50ml vinegar with 1 stick of chalk, 50ml vinegar with 2 sticks of chalk or 100ml vinegar with 1 stick of chalk?

1 Answer
Feb 18, 2018

Well, I would say #2# sticks of chalk in #50 \ "mL# of vinegar.

Explanation:

I would solve the problem like this.

For this problem, the concentration formula would be:

#"concentration"="sticks of chalk"/"volume of solution"#

Let's measure it with the unit #"C"#, for example.

For the first solution, the concentration would be

#1/50"C"#

For the second solution, the concentration would be

#2/50=1/25"C"#

For the third solution, the concentration would be

#1/100"C"#

We know that

#1/25>1/50>1/100#

and since #"C">0# for all #"C"inRR#

#:.1/25"C">1/50"C">1/100"C"#

#=># The second solution would be the most concentrated.