Problem

Sodium sulfate,

\text{Na}_2\text{SO}_4

, reacts in aqueous solution with lead nitrate,

\text{Pb}(\text{NO}_3)_2

, as follows:

\text{Na}_2\text{SO}_4(\text{aq}) + \text{Pb}(\text{NO}_3)_2(\text{aq}) \rightarrow \text{PbSO}_4(\text{s}) + 2\text{NaNO}_3(\text{aq})

In an experiment,

35.30 \text{ cm}^3

of a solution of sodium sulfate reacted exactly with

32.50 \text{ cm}^3

of a solution of lead nitrate. The precipitated lead sulfate was dried and found to have a mass of

1.13 \text{ g}

. Determine the concentrations of the original solutions of lead nitrate and sodium sulfate. State what assumptions are made.