What is the molarity of a solution in which 10.0g of #AgNO_3# is dissolved in 500. mL of solution?
1 Answer
Explanation:
Molarity is simply a measure of the concentration of a solution in terms of how many moles of solute are present per liter of solution.
#color(blue)(|bar(ul("molarity" = "moles of solute"/"liters of solution"))|)#
This means that in order to find a solution's molarity you must know two things
- the number of moles of solute present
- the volume of the solution
In order to find the number of moles of silver nitrate,
#10.0 color(red)(cancel(color(black)("g"))) * "1 mole AgNO"_3/(169.87color(red)(cancel(color(black)("g")))) = "0.05887 moles AgNO"_3#
Now, do not forget that molarity is expressed per liter of solution. This means that you're going to have to convert the volume from milliliters to liters by using the conversion factor
#"1 L" = 10^3"mL"#
Plug in your values to get
#color(blue)( |bar(ul(c = n_"solute"/V_"solution"))|)#
#c = "0.05887 moles"/(500. * 10^(-3)"L") = color(green)(|bar(ul("0.118 M"))|)#
The answer is rounded to three sig figs.
