To what volume should you dilute 60mL of a 10.5M #H_2SO_4# solution to obtain a 1.70M #H_2SO_4# solution?

1 Answer
Meave60
May 20, 2015

To obtain a 1.70M sulfuric acid, dilute 60 mL of the 10.5 M sulfuric acid to 0.4 L, or 400 mL.

Use the dilution equation #"M"_1"V"_1"=M"_2"V"_2"#, where #"M"# is concentration in mol/L, #"V"# is volume in liters, #1# is the concentrated conditions, and #2# is the diluted conditions.

Known:
#"M"_1=10.5 "mol/L"#
#"V"_1=60 "mL"=0.06 "L"#
#"M"_2=1.70 "mol/L"#

Unknown:
#"V"_2"#

Solution:

#"V"_2=("M"_1"V"_2)/("M"_2)=(10.5cancel"mol/L"*0.06"L")/(1.70cancel"mol/L")=0.4 "L"=400"mL"#

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