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A lab technician was required to make 750 mL of a 2M solution of hydrochloric acid. They found an 15 M stock solution. What volume of stock solution was required to make the required solution? Question 5 options: 0.1 mL 10 L 100 mL 562 mL 40 mL

Question

A lab technician was required to make 750 mL of a 2M solution of hydrochloric acid. They found an 15 M stock solution. What volume of stock solution was required to make the required solution?

Question 5 options:

0.1 mL

10 L

100 mL

562 mL

40 mL

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Solution

To solve this problem, we can use the dilution formula:

C1V1=C2V2 C_1 V_1 = C_2 V_2

where:

  • C1 C_1 is the concentration of the stock solution (15 M),
  • V1 V_1 is the volume of the stock solution we need to find,
  • C2 C_2 is the concentration of the final solution (2 M),
  • V2 V_2 is the volume of the final solution (750 mL).

Rearranging the formula to solve for V1 V_1 :

V1=C2V2C1 V_1 = \frac{C_2 V_2}{C_1}

Substituting the given values:

V1=2M×750mL15M V_1 = \frac{2 \, \text{M} \times 750 \, \text{mL}}{15 \, \text{M}}

V1=1500mL15 V_1 = \frac{1500 \, \text{mL}}{15}

V1=100mL V_1 = 100 \, \text{mL}

So, the volume of the stock solution required is:

100 mL

This problem has been solved

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