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A science teacher has a supply of 5% hydrochloric acid and a supply of 65% hydrocloric acid (HCI). How much of each solution should the teacher mix together to get 42 mL of 45% HCI for an experiment?

A) The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.

B) 28 mL of 5% solution and 14 mL of the 65% solution

C) 14 mL of the 5% and 14 mL of the 65% solution

D) 28 mL of the 5% solution and 28 mL of the 65% solution

Respuesta :

the answer would be d

Answer: The teacher will need 14 ml of the 5% solution and 28 ml of the 65% solution.

Step-by-step explanation:

Since we have given that

There has a supply of 5% hydrochloric acid and a supply of 65% of hydrocholric acid.

The teacher needs to mix together to get 42 ml of 45% of hydrochloric acid for an experiment.

So, we will use "Mixture Allegation" to find the quantity of each solution,

Ist type of supply of HCL                 IInd type of supply of HCL

          5%                                                              65%

                                                  45%

----------------------------------------------------------------------------------------------

     65%-45%                                  :                      45%-5%

        20%                                        :                          40%

          2                                           :                           4

          1                                            :                            2

So, there is total quantity of mixture = 42 ml

So, Quantity of 5% solution will be

[tex]\frac{1}{3}\times 42=14\ ml[/tex]

Quantity of 65% solution will be

[tex]\frac{2}{3}\times 42=28\ ml[/tex]

Hence, the teacher will need 14 ml of the 5% solution and 28 ml of the 65% solution.