The carat is the unit of mass used by jewellers. One carat is exactly 200mg. If the carbon atoms present in a 24 carat diamond are =2.408×10x, then the value of x is :
One carat =200 mg diamond.
24 carat =200×24×10−3g.
=200×24×10−312g mole atom
=0.4g mole atom.
=0.4×6.02×1023 atom.
=2.408×1023 atoms.
So, x is 23.