What is the concentration of sodium ions in a (2.2x10^0) mol/L solution of sodium carbonate? (answer to 2 s.d. in mol/L}

1 Answer
May 29, 2017

4.4 * 10^0"mol L"^(-1)

Explanation:

Sodium carbonate, "Na"_color(red)(2)"CO"_3, is an ionic compound that, as its name and chemical formula suggest, contains sodium cations and carbonate anions in a color(red)(2):1 ratio.

This salt is soluble in water, which means that every time 1 mole of sodium carbonate dissolves in water, it produces color(red)(2) moles of sodium cations and 1 mole of carbonate anions in aqueous solution.

"Na"_ color(red)(2)"CO"_ (3(aq)) -> color(red)(2)"Na"_ ((aq))^(+) + "CO"_ (3(aq))^(2-)

This tells you that a sodium carbonate solution will always have

["Na"^(+)] = color(red)(2) * ["Na"_ 2"CO"_3]

In your case, the solution will have

["Na"^(+)] = color(red)(2) * 2.2 * 10^(0) "mol L"^(-1)

color(darkgreen)(ul(color(black)(["Na"^(+)] =4.4 * 10^0color(white)(.)"mol L"^(-1))))

The answer is rounded to two sig figs.