write balanced equation showing the reaction occurs when lead is added to a solution containing a mixture of aqueous silver nitrate and copper(ii)sulfate

To write a balanced equation for the reaction that occurs when lead is added to a solution containing a mixture of aqueous silver nitrate and copper(II) sulfate, we need to consider the individual reactions involving lead with silver nitrate and copper(II) sulfate separately.

First, let's write the balanced equation for the reaction between lead and silver nitrate:

Pb(s) + 2AgNO3(aq) → Pb(NO3)2(aq) + 2Ag(s)

In this reaction, lead displaces silver from silver nitrate, resulting in the formation of lead(II) nitrate and silver metal.

Now, let's write the balanced equation for the reaction between lead and copper(II) sulfate:

Pb(s) + CuSO4(aq) → PbSO4(s) + Cu(s)

Here, lead displaces copper from copper(II) sulfate, leading to the formation of lead(II) sulfate and copper metal.

Combining both reactions, we can write the overall balanced equation for the reaction:

Pb(s) + 2AgNO3(aq) + CuSO4(aq) → Pb(NO3)2(aq) + 2Ag(s) + PbSO4(s) + Cu(s)

Please note that this balanced equation assumes all reactions are happening in an aqueous solution.