HClO3 indeed is quite stable when dilute. I have done experiments with boiling saturated solutions of KClO3 in 20% H2SO4 and these solutions were
stable, even when boiling.
I would expect a mix of NaClO3 and KHSO4 not to form any ClO2, as long as the material is kept cool and dry. On heating, or when it becomes humid, I
can imagine that some ClO2 is formed. A nice experiment may be to mix a spatula of powdered NaHSO4 and KClO3 and add a tiny amount of water and allow
the mix to stand. Maybe you get some yellow coloring
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