How many milliliters of 0.02 M HCl are needed to react completely with 100 mL of 0.01 M NaOH?
A) 200 mL
B) 100 mL
C) 75 mL
D) 50 mL
E) 25 mL

Respuesta :

The reaction of HCl and NaOH is HCl + NaOH = NaCl + H2O. So the mole number of HCl and NaOH is equal. So the volume of HCl =0.01*0.1/0.02=0.05 L =50 ml. So the answer is D).

Answer: Option (D) is the correct answer.

Explanation:

Molarity is number of moles divided by volume of the solution.

Mathematically,     Molarity = [tex]\frac{no. of moles}{Volume}[/tex]

Also, in the given situation number of moles of both HCl and NaOH are equal. Therefore, volume of HCl will be calculated as follows.

               [tex]M_{HCl}V_{HCl}[/tex] = [tex]M_{NaOH}V_{NaOH}[/tex]

               [tex]0.02 M \times V_{HCl}[/tex] = [tex]0.01 M \times 100 mL[/tex]

                [tex]V_{HCl}[/tex] = [tex]\frac{0.01 M \times 100mL}{0.02}[/tex]

                                              = 50 mL

Thus, we can conclude that volume of HCl is 50 mL.