Question

A student takes a measured volume of 3. 00 M HCl to prepare a 50. 0 mL sample of 1. 80 M HCl. What volume of 3. 00 M HCl did the student use to make the sample? Use M subscript i V subscript i equals M subscript f V subscript f. 3. 70 mL 16. 7 mL 30. 0 mL 83. 3 mL.

Answer 1

The volume of 3 M HCl solution used has been 30 mL. Thus, option C is correct.

The volume of the concentrated solution used for the preparation of the diluted solution has been given by:

$M_1V_1=M_2V_2$

Computation for the Volume of HCl used

The initial molarity of the solution has been, $M_1=3\;\rm M$

The final molarity of the sample has been, $M_2= 1. 80 \;\text M$

The final volume of the solution has been, $V_2=50\;\rm mL$

The volume of initial sample used has been, $V_1$ given by substituting the values as:

$3\;\time\;V_1= 1. 80\;\times\;50\\ V_1=\dfrac{1. 80\;\times\;50}{3}\;\rm mL\\ \textit V_1=30\;mL$

The volume of 3 M HCl solution used has been 30 mL. Thus, option C is correct.

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