To what volume should you dilute 55 mL of a 11 M stock #HNO_3# solution to obtain a 0.137 M #HNO_3# solution?

1 Answer
May 19, 2016

Answer:

You need to dilute the given volume of stock solution to #"4.4 L"#.

Explanation:

Molarity #("M")# represents the concentration of a solution in moles of solute/liters of solution.

#M_1V_1=M_2V_2#

#M_1="11 M"="11 mol/L"#
#V_1="55 mL"="0.055 L"#
#M_2="0.137 M"="0.137 mol/L"#
#V_2="???#

Solution
Rearrange the equation to isolate #V_2#, then substitute the given values into the equation and solve.

#V_2=(M_1V_1)/M_2#

#V_2=(11cancel"mol/L" * 0.055"L")/(0.137cancel"mol/L")="4.4 L"# (rounded to two significant figures)