What is the molarity of a solution that contains #"5 moles"# of solute dissolved in a solution that is #"975 mL"#?

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Answer 1 · 2017-05-05T05:28:12

The molarity of the solution is #"5.1 mol/L"#.

The solution is said to be #"5.1 molar"#.

The shorthand way to indicate molarity is #"5.1 M"#, which is pronounced #"5.1 molar"#, and is how it is written on the label of its container.

#"Molarity (M)"=("moles of solute")/("liters of solution")#

The volume of the solution is given in mL. The volume is required to be in liters, so #"975 mL"# must be converted to liters.

#"1 L=1000 mL"#

#975color(red)cancel(color(black)("mL"))xx(1"L")/(1000color(red)cancel(color(black)("mL")))="0.975 L"#

#"Molarity (M)"=(5.0"mol")/(0.975"L")="5.1 mol/L"# rounded to two significant figures