A 2.0 mL sample of #NaOH# solution is exactly neutralized by 4.0 mL of 3.0 M #HCl# solution. What is the concentration of the #NaOH# solution?

1 Answer
Jun 3, 2016

#[NaOH]# #=# #6.0*mol*L^-1#

Explanation:

#NaOH(aq) + HCl(aq) rarr NaCl(aq) + H_2O(l)#

Clearly a 1:1 stoichiometry pertains. We know the concentration of the hydrochloric acid, and we use this to calculate (i) the number of moles of hydrochloric acid, and (ii) the concentration of the caustic soda.

#"Moles of hydrochloric acid"# #=# #4.0xx10^-3Lxx3.0*mol*L^-1# #=# #12xx10^-3*mol#

#"Concentration of sodium hydroxide"# #=# #"Moles of NaOH"/"Initial volume of solution"# #=# #(12xx10^-3*mol)/(2.0xx10^-3*L)#