Is it possible to express the notion of ordinal number of a hour in Chinese?
For example, any time between 2:00 and 2:59 is from THIRD hour. May I say somehow, that 2:05 is five minutes of THIRD hour?
I had never head the expression 第……小时 be used to describe time. 第三个小时的第五分钟 would be more confusing, and more complex than 两点零五.
But the similar form may be used when the time is related to some certain beginning. Here are some example:
The third hour would be something like:
The third hour and five min would be:
If your context is not clear, though, it is going to sound like nonsense.