not clue, based on the absence of data ...
"the heat emitter 5" ... ??
"the aluminum block" ... ??, ok, so you know the specific hear of Aluminium, but the volume of the block is important.
"at 28 degrees Celsius at a room temperature of 18 degrees Celsius" ... ok, good ... some data !
so to work out the energy required, we have the delta T (10degC) we can look up the specific heat of Aluminium, but we need the volume of the block.
and with data (Wattage) of the heater we can start to fiure out the time ...
but as the block heats it'll lose heat to the cooler environment, so we'll need more data (the surface area of the block, the irradiance of Aluminium)
"Hoffen wir mal, dass alles gut geht !"
General Paulus, Nov 1942, outside Stalingrad after the launch of Operation Uranus.