What does 50W per hour mean?
It is rubbish.
The power is 50W, hours should not be stated and only confuses things
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A watt is 1J/s so 1W for 1sec = 1J. A joule is a very small energy unit so energy is often sold in amounts of 3.6MJ or 1kWh.
Oh dear, I think I am confusing things.
In the UK electrical work in a bathroom must be done by a registered person to the current standards which are quite complicated.
Lifts to get old fogeys like me in and out of a bath are usually powered by a 12V battery, not connected to anything else.
12V is normally safe but it is the current which is important and this could be quite high when a large area is covered in conducting soap. Personally I would not risk it.
The mirror is presumably designed for the job and could be safely installed by an electrician but if the maker dosn't know how to describe power power consumption, do they know how to make the device to safety standards?