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Atoms And Molecules

Question
CBSEENSC9005072

Which has more number of atoms, 100 grams of sodium or 100 grams of iron (given atomic mass of Na = 23 u, Fe = 56 u)?

Solution
23 space g r a m space a t o m i c space u n i t space o r space 23 space g r a m space s o d i u m space left parenthesis 1 space m o l e right parenthesis space
space space equals space 6.022 space cross times space 10 to the power of 23 space a t o m s

therefore space space space 100 space g r a m space a t o m i c space u n i t space o r space space 23 space g r a m space s o d i u m space left parenthesis 1 space m o l e right parenthesis space

space space space equals space fraction numerator 6.022 space cross times space 10 to the power of 23 space cross times space 100 over denominator 23 end fraction equals space 2.617 space cross times space 10 to the power of 24 space space a t o m s
Again space 56 space gram space atomic space unit space or space 56 space grams space iron space left parenthesis 1 space mole right parenthesis space
space space equals space 6.022 space cross times space 10 to the power of 23 space atoms
space space space therefore space space space 100 space gram space atomic space unit space or space 56 space grams space iron space left parenthesis 1 space mole right parenthesis
space equals space 1.075 space cross times space 10 to the power of 23 space atoms

Thus space 100 space straight g space of space space carbon space has space more space atoms space than space 100 space straight g space of space iron space atoms.