You have 250.0 mL of 4.00 M sugar solution. You add 300.0 mL of water to this solution. What is the concentration of the sugar solution after the water has been added? a) 3.33 M b) 1.82 M c)1.54 M d) 2.00 M e) 2.18 M

2 Answers
Michael
Mar 10, 2015

(b). 1.82M

#c=n/v#

#n=cv#

The total number of moles in each solution remains the same, you are just diluting it so:

#250xx4=550xxC#

#C=(250xx4)/(550)=1.82M#

Meave60
Mar 11, 2015

The concentration of the sugar solution after dilution is #"1.82 M"#.

Use the equation #"M"_1"V"_1"# = #"M"_2"V"_2"#.

Known/Given :
#"M"_1"# = #"4.00 M"#
#"V"_1"# = #"250.0 mL"# x #"1L"/"1000mL"#= #"0.2500 L"#
#"V"_2"# = #"550.0 mL"# x #"1L"/"1000mL"# = #"0.5500 L"#

Unknown:
#"M"_2"#

Solution:
#"M"_2"# = #"M"_1"V"_1"/V"_2# = #"4.00 M x 0.2500 L"/"0.5500L"# = #"1.82 M"#

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