There is no such thing as the molecular weight of coal: it is inherently a mixture. What you are referring to is an empirical molecular weight which bears no resemblance to the material in coal: i.e. volatile matter, fixed carbon and ash.
The analysis can be used to calculate many of the properties of coal combustion, but are usually quoted on a dry, mineral matter free basis (dmfb). The actual ash and moisture must be included in most practical calculations.
Kaushal Kishor Agnihotri strictly speaking you cannot have the molecular weight of a coal, because coals are complex mixtures. However, I see structural models being built based on molecular composition, and they give a "molecular formula" and an "average molecular weight". The following paper may be useful for you:
Article Understanding the Molecular Structure of HSW Coal at Atomic ...
This is a hypothetical question as coal is not a single molecule. what you can get is average molecular formula after accounting for mineral matter and moisture i.e. dry mineral matter free basis.