In this reaction, potassium nitrate reacts with potassium hydroxide, resulting in the formation of manganese dioxide (\( \text{MnO}_2 \)) as the black solid.
Upon heating, this black solid reacts further to form potassium permanganate (\( \text{KMnO}_4 \)) and potassium manganate (\( \text{K}_2\text{MnO}_4 \)).
The correct sequence of compounds is:
A: \( \text{MnO}_2 \),
B: \( \text{K}_2\text{MnO}_4 \),
C: \( \text{KMnO}_4 \).
Thus, the correct answer is (b).