The relative molecular weight of acetic acid is 60.05 and its density is 1.049g/ml. Describe how you would prepare 1L of 2M solution of acetic acid?
1 Answer
#"119.1 g"# of the starting solution can be measured out and poured into some water, and the rest of the volume is to be occupied by water up until the#"1-L"# mark on your volumetric flask.Alternatively you can somehow measure out
#"114.5 mL"# of the starting solution, but in practice, getting the mass is more accurate and convenient.
Well, you would use some stock acetic acid solution like this one for starters. It's basically
#(1.049 cancel"g HOAc")/cancel"mL" xx (1000 cancel"mL")/"1 L" xx "1 mol"/(60.05 cancel"g HOAc")#
#=# #"17.47 M"#
This would be your starting concentration. Since you want
#17.47/2.000 = 8.735# -fold dilution.
That means your starting volume should be
#2.000/17.47 = 1.000/8.735 = 0.1145# times the final volume of#"1.000 L"# (or
#ul"0.1145 L"# ).
And to confirm this beyond simply rationalizing it:
#M_1V_1 = M_2V_2#
#M# and#V# are molar concentration in#"M"# and volume in#"L"# , respectively.
#V_1 = M_2/M_1 V_2#
#= ("2.000 M")/("17.47 M") xx "1.000 L"#
#=# #ulcolor(blue)"0.1145 L"# as we got conceptually.
Since it's so concentrated acid,
#"1) "# I would first put in roughly#"50 mL"# of water, let's say, then record the starting mass (or tare the scale that weighs this).
#"2) "# Use the density of the acetic acid solution to measure out a mass of it:
#114.5 cancel"mL" xx "1.049 g HOAc"/cancel"1 mL" = "119.1 g HOAc soln"# Add the acetic acid stock solution to the water until you have added this much mass to the water. If you've tared the scale, it should be easy to tell.
#"3) "# Then simply add water to fill the flask up to the#"1-L"# mark.
That ensures that you make a proper