Example solved problem

Calculate the volume in
of 0.250 
HCl
required to react completely with 37.5
of 0.100 
NaOH
according to the equation given.

NaOH(aq)+ HCl(aq) NaCl(aq) + H2O



Known


c(NaOH)
V(NaOH)


n = c × V

Step 1


n(NaOH)
n(NaOH) = n(HCl)
1 1

Step 2


n(HCl)
c = n
V

Step 3


V(HCl)


Unknown


n(NaOH) = 0.10 
× 37.5 × 10–3

n(NaOH) = 3.75 × 10–3 mol
 
Step 1: Use given information (concentration and volume) to calculate amount in moles of known substance 
 



n(NaOH) = n(HCl) = 3.75 × 10–3 mol
Step 2: Calculate n(unknown) from n(known) and the coefficients on these substances in the balanced equation for the reaction.



0.250 
= 3.75 × 10–3 mol
V(HCl)

V(HCl) = 0.0150
= 15.0
Step 3: Use calculated n(unknown) and given c(unknown) to calculate V(unknown).