Ethanol is used in alcholic beverages &has density of 0.789g/mol, what volume of ethanol(inlitre)would have a mass of500g?

NOT g/mol !!!!! That is grams per Avagadro's number of molecules !!!

I think you mean g / mL, grams per milliliter or grams per 0.001 liter
so
V = 500 g / 0.789 g/ mL = (500 / 0.789) mL = (0.500 / 0.789 ) liters