I've came across the sizzling of [something] and I've found out sizzling is an adjective. However, I can't understand the construction the [adj] of [sth]. All I know is the construction the [adj] as in the rich (meaning rich people).
This is the context of a description of a kitchen.
There’s the sizzling of a frying pan, chairs being scraped back, metal chopsticks clinking against bowls as someone sets the table. Probably Sarah. It sounds like everyone is in the kitchen.