Go through the following question and provide the answer:
 
Complete the chemical analysis for the thermal decomposition of lead nitrate, where solid lead nitrate is heated to produce lead monoxide, nitrogen dioxide, and oxygen gas.
 
i. In the equation \(xPb(NO)_3)_2 \rightarrow yPbO + z(NO)_2 + w(O)_2\), identify the correct values for the coefficients:
 
ii. Chemical equations are balanced to satisfy the: