find the conversion factor between kilowatthour and erg using dimensional method ???????

1 kilowatt hour=3.6×106 J .1J =1 Kg ms-2×m=1Kg m2 s-2.therefore   3.6×106 J=3.6×106 Kg m2 s-2.so   3.6×106 Kg m2 s-2=n g cm2 s-2.or     n=3.6×106(Kgg) mcm2 ss-2.or       n=3.6×106 1000g1g 100cm1cm2 1-2.or        n=3.6×1013.Therefore 1 Kilowatt hour = 3.6×1013 erg. 

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