What volume of a 3.5 M HCL is required to completely neutralize 50.0 ml of a 2.0 M NaOH
NaOH:
V=50mL=0,05L
Cm = 2M
n = CmV = 0,05L 2M = 0,1mol
HCl + NaOH ⇒ NaCl + H₂O
1mol : 1mol
0,1mol : 0,1mol
HCl:
n = 0,1mol
Cm = 3,5M
n 0,1mol
V=---------- = ----------- ≈ 0,029dm³ = 29mL of 3,5M HCl
Cm 3,5 mol/dm³
Answer: The volume of HCl required will be 28.57 mL.
Explanation:
To calculate the volume of acid, we use the equation given by neutralization reaction:
\(n_1M_1V_1=n_2M_2V_2\)
where,
\(n_1,M_1\text{ and }V_1\) are the n-factor, molarity and volume of acid which is HCl
\(n_2,M_2\text{ and }V_2\) are the n-factor, molarity and volume of base which is NaOH
We are given:
\(n_1=1\\M_1=3.5M\\V_1=?mL\ _2=1\\M_2=2M\\V_2=50mL\)
Putting values in above equation, we get:
\(1\times 3.5\times V_1=1\times 2\times 50\\\\V_1=28.57mL\)
Hence, the volume of HCl required will be 28.57 mL.