State whether the following statement is true or false:
Copper does not burn in air, but the hot metal is coated with a black-coloured layer of copper $(II)$ oxide.

(TRUE) The statement is True.
When copper is heated in air, it does not burn (i.e., it does not produce a flame). However, it reacts with atmospheric oxygen to form copper $(II)$ oxide, which appears as a black-coloured layer on the surface of the metal.
The chemical reaction is: $2Cu(s) + O_2(g) \xrightarrow{\Delta} 2CuO(s)$ (Copper $(II)$ oxide).