38.0 mL of a 0.026 M solution of HCl is needed to react completely with a 0.032 M NaOH solution. Calculate the number of moles of HCl originally present

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Answer:

The number of moles  of HCl actually present is 0.000988

Explanation:

The balanced chemical equation of the given reaction is

[tex]HCl+NaOH \rightarrow NaCl+H_2 O[/tex]

Here one mole of HCl reacts with one mole of NaOH to form one mole of NaCl and one mole of  water. Here the molarity of HCl is given as 0.026M.

molarity of NaOH is 0.032M

molarity is the number of moles per unit volume of solution.

we have to calculate the number of moles in 36 mL of HCl.

38 mL=36/1000=0.038L

the number of moles in 38 mL of HCl is given by

no of moles =[tex]0.026 \times 0.038=0.000988[/tex]

The number of mole of HCl originally present in the solution is 9.88×10¯⁴ mole

Molarity is defined as the mole of solute per unit litre of solution. Mathematically, it can be expressed as:

Molarity = mole / Volume

With the above information in mind, we can obtain the number of mole of HCl originally present in the solution. This is illustrated below:

Molarity of HCl = 0.026 M

Volume = 38 mL = 38 / 1000 = 0.038 L

Mole of HCl =?

Mole = Molarity × volume

Mole of HCl = 0.026 × 0.038

Mole of HCl = 9.88×10¯⁴ mole

Thus, the number of mole of HCl originally present in the solution is 9.88×10¯⁴ mole

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