How many moles of HCl are needed to completely react with 50.0 mL of 0.250 M NaOH solution? Group of answer choices 1.25 × 10-2 moles 1.25 × 101 moles 2.50 × 10-1 moles

Respuesta :

Answer:

[tex]n_{HCl|=1.25\times 10^{-2}\ moles[/tex]

Explanation:

We know that , the reaction between NaOH and HCl is given as

[tex]HCL+NaOH\rightarrow NaCl+H_2O[/tex]

Form the above reaction we can say that

Number of moles of HCl =Number of moles of NaOH

[tex]n_{HCl} =n_{NaOH}[/tex]

Therefore

[tex]n_{HCl}=\frac{0.25\times 50}{1000}\ moles[/tex]

[tex]n_{HCl|=12.5\times 10^{-3}\ moles[/tex]

[tex]n_{HCl|=1.25\times 10^{-2}\ moles[/tex]

Therefore the numbers of moles needed of HCl wil be [tex]1.25\times 10^{-2}\ moles[/tex]

The number of mole of HCl needed to completely react with 50.0 mL of 0.250 M NaOH solution is 1.25×10¯² mole

We'll begin by calculating the number of mole of NaOH in the solution.

Volume = 50 mL = 50 / 1000 = 0.05 L

Molarity of NaOH = 0.250 M

Mole of NaOH =?

Mole = Molarity x Volume

Mole of NaOH = 0.250 × 0.05

Mole of NaOH = 1.25×10¯² mole

Finally, we shall determine the number of mole of HCl required to react with 1.25×10¯² mole of NaOH. This can be obtained as follow:

HCl + NaOH —> NaCl + H₂O

From the balanced equation above,

1 mole of NaOH reacted with 1 mole of HCl.

Therefore,

1.25×10¯² mole of NaOH will also react with 1.25×10¯² mole of HCl

Thus, the number of mole of HCl needed for the reaction is 1.25×10¯² mole

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