In Example 3.14, how much heat per unit mass must be added to choke the flow?

Data From Example 3.14:

Air enters a constant-area duct at \(M_{1}=3, p_{1}=1 \mathrm{~atm}\), and \(T_{1}=300 \mathrm{~K}\). Inside the duct, the heat added per unit mass is \(q=3 \times 10^{5} \mathrm{~J} / \mathrm{kg}\). Calculate the flow properties \(M_{2}, p_{2}, T_{2}, ho_{2}\), \(T_{o_{2}}\), and \(p_{o_{2}}\) at the exit of the duct.