Constant‑boiling HCl can be used as a primary standard for acid–base titrations. A 50.00 mL sample of constant‑boiling HCl with a concentration of 0.1096 M was collected and titrated to an endpoint with 31.78 mL of a Ba(OH)2 solution. What is the molarity of the Ba(OH)2 solution

Respuesta :

Answer:

0.0862 M

Explanation:

Considering:

[tex]Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}[/tex]

Or,

[tex]Moles =Molarity \times {Volume\ of\ the\ solution}[/tex]

Given :

For [tex]HCl[/tex] :

Molarity = 0.1096 M

Volume = 50.00 mL

The conversion of mL to L is shown below:

1 mL = 10⁻³ L

Thus, volume = 50.00 × 10⁻³ L

Thus, moles of [tex]HCl[/tex] :

[tex]Moles=0.1096 \times {50.00\times 10^{-3}}\ moles[/tex]

Moles of [tex]HCl[/tex]  = 0.00548 moles

According to the reaction,

[tex]2HCl+Ba(OH)_2\rightarrow BaCl_2+2H_2O[/tex]

2 moles of HCl react with 1 mole of [tex]Ba(OH)_2[/tex]

1 mole of HCl react with 1/2 mole of [tex]Ba(OH)_2[/tex]

0.00548 mole of HCl react with (1/2)*0.00548 mole of [tex]Ba(OH)_2[/tex]

Moles of [tex]Ba(OH)_2[/tex] = 0.00274 moles

Volume of [tex]Ba(OH)_2[/tex] = 31.78 mL = 31.78 × 10⁻³ L

Molarity = 0.00274 moles / 31.78 × 10⁻³ L  = 0.0862 M

The molarity of the Ba(OH)2 solution is mathematically given as

M= 0.0862 M

What is the molarity of the Ba(OH)2 solution?

Question Parameters:

A 50.00 mL sample of constant‑boiling HCl

a concentration of 0.1096 M

31.78 mL of a Ba(OH)2 solution.

Generally, the equation for the Molarity   is mathematically given as

[tex]M=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}[/tex]

Where,moles of HCl  is

Hm=0.1096* {50.00* 10^{-3}} moles

Hm= 0.00548 moles

The equation for the Chemical Reaction is mathematically given as

2HCl+Ba(OH)_2 ----> BaCl_2+2H_2O

Hence

Moles of Ba(OH)_2 = 0.00274 moles

The volume of Ba(OH)_2 = 31.78 × 10^{-3} L

In conclusion, Molarity   is

[tex]M=\frac{0.00274}{31.78 * 10^{-3} L}[/tex]

M= 0.0862 M

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