In the given experiment, on heating lead nitrate powder in a boiling test tube, we observe brown fumes. The emission of brown coloured fumes is due to formation of:
Nitrogen Dioxide
On heating lead nitrate, it undergoes decomposition reaction to form lead oxide, nitrogen dioxide, and oxygen. The reaction is:
2 Pb(NO3)2(s) → 2 PbO(s) + 4 NO2(g) + O2(g)
(Lead nitrate) (Lead oxide) (Nitrogen dioxide) (Oxygen)
The brown coloured fumes are of nitrogen dioxide.