Answer:
0.06 liter
Step-by-step explanation:
First, let us look at the equation of the first reaction:
2HCl + Mg ----> MgCl2 + H2
2 moles of HCl requires 1 mole of Mg for complete reaction.
Mole of HCl available = molarity x volume
0.2 x 50/1000 = 0.1 mole
Mole of Mg available = mass/molar mass
0.6/24.3 = 0.02 mole.
Thus, HCl is in excess by 0.1 mole.
Now, let us look at the second reaction:
HCl + NaOH ----> NaCl + H2O
mole ratio of HCl to NaOH is 1:1
Remember that 0.1 mole HCl is left from the first reaction. Thus, 0.1 mole of the alkaline would also be needed.
Hence, volume of NaOH needed = mole/molarity
0.1/1.67 = 0.06 dm3
The volume of alkaline needed would, therefore, be 0.06 liter.