Question #df7ec
1 Answer
Explanation:
The pH of a solution is simply a measure of the concentration of hydrogen ions,
More specifically, the pH of a solution is defined as
#color(blue)(bar(ul(|color(white)(a/a)"pH" = - log(["H"^(+)])color(white)(a/a)|)))#
Here
This means that all you have to do to find the solution's pH is take the negative log base
In your case, this will get you
#"pH" = - log(2.5 * 10^(-2))#
Now, you can use the properties of the log function to say that
#"pH" = - [log(2.5) + log(10^(-2))]#
which gets you
#"pH" = - [log(2.5) + (-2) log10]#
#"pH" = - [log(2.5) - 2]#
#"pH" = 2 - log(2.5)#
You can say for sure that the pH of this solution is lower than
#"pH" = 2 - log(10/4)#
#"pH" = 2 - (log10 - log4)#
#"pH" = 2 - 1 + log4#
#"pH" = 1 + log4#
You can now say that the pH is higher than
#color(green)(bar(ul(|color(white)(a/a)color(black)("pH" = 1 + log4 = 1.60)color(white)(a/a)|)))#