Question

A chemist must prepare 0.200 L of aqueous silver nitrate working solution. He'll do this by pouring out some aqueous silver nitrate stock solution into a graduated cylinder and diluting it with distilled water. Calculate the volume in of the silver nitrate stock solution that the chemist should pour out. Be sure your answer has the correct number of significant digits.

Answer 1

A chemist must prepare 0.200 L of 1.00 M aqueous silver nitrate working solution. He'll do this by pouring out 1.82 mol/L aqueous silver nitrate stock solution into a graduated cylinder and diluting it with distilled water. How many mL of the silver nitrate stock solution should the chemist pour out?

Answer: 0.110 L

Explanation:

According to the dilution law,

$M_1V_1=M_2V_2$

where,  

$M_1$ = molarity of stock silver nitrate solution = 1.82 M

$V_1$ = volume of stock silver nitrate solution = ?  

$M_1$ = molarity of diluted silver nitrate solution = 1.00 M

$V_1$ = volume of diluted silver nitrate solution = 0.200 L

Putting in the values we get:

$1.82M\times V_1=1.00M\times 0.200L$

$V_1=0.110L$

Therefore, volume of silver nitrate stock solution required is 0.110 L