The following occurs when tin is added to separate solutions of lead(II) nitrate, \( Pb(NO_3)_2 \), and manganese(II) nitrate, \( Mn(NO_3)_2 \).
\( Sn(s) + Pb(NO_3)_2(aq) \rightarrow Sn(NO_3)_2(aq) + Pb(s) \)
\( Sn(s) + Mn(NO_3)_2(aq) \rightarrow \text{no reaction} \)
What is the order of decreasing reactivity of the metals?