Disregard the qnh
Let’s say if we are flying visually
on a cold day or a warm day
if you fly over a mountain keeping clear of terrain visually, you will be at the same altitude,
Now bring in the qnh
on a cold day
if you fly over a mountain keeping clear of terrain visually, setting qnh 1009 on the altimeter , indicated altitude will be more than the true altitude
on a warm day
if you fly at the same altitude visually ,setting qnh 1009 on the altimeter , indicated altitude will be less than the true altitude
Because
molecules in cold air are closely packed
molecules in warm air are loosely packed
a column of cold air on the left, and a column of warm air on the right. Notice that, since cold air causes pressure to fall more rapidly with height, the pressure levels in the cold air column are compressed towards the Earth’s surface, whereas, in the warm air column, they expand away from the surface
.