Hello Aellie. In order to solve this equation, you must remember the molarity formula. m1v1=m2v2, where the letter m represents molarity (moles/liter) or concentration, and the letter v represents the volume (in liters). Then you substitute the values for M1, V1. and V2. These are the values you have for M1, V1, and V2:
HCl NaOH
V2 = 20 mL V1= 25.50 mL
=0.02 L = 0.0255 L
m2 or c1 = ? m1 or c1= 1.0 M
The formula then becomes:
M1V1=M2V2
(1.0 M NaOH)(0.0255 L NaOH) = (x)(0.02 L HCl)
Rearranging the equation to solve for x gives us:
(1.0 M NaOH)(0.0255 L NaOH)= x
(0.02 L HCl)
x= 1.275 M HCl, or reduced to 2 significant figures, 1.3 M HCl
For the second problem, you set up the same formula:
M1V1=M2V2
You then proceed to convert 10 ml into liters. 10 ml HCl is equivalent to 0.01 L HCl.
You then substitute the given values into the equation:
M1V1=M2V2
(1 M NaOH)(x) = (2 M HCl)(0.01 L HCl)
Rearranging the equation to solve for x gives us:
x = (2 M HCl) (0.01 L HCl)
(1 M NaOH)
x = 0.02 L NaOH or 20 ml of NaOH