Chlorophyll, the green colouring matter of plants responsible for photosynthesis, contains 2·68% of magnesium by mass. Calculate the number of magnesium atoms in 2·000g of chlorophyll.

Solution

100 space straight g space chlorophyll space contains space 2.68 space Mg space therefore space space space 2 space straight g space chlorophyll space would space contain space fraction numerator 2.68 space cross times space 2 over denominator 100 end fraction Mg straight i. straight e. space 5.36 space cross times space 10 to the power of negative 2 end exponent straight g space Mg because space space 24 space straight g space Mg space contains space 6.02 space cross times space 10 to the power of 23 space atoms space Mg therefore space space space 5.36 space cross times space 10 to the power of negative 2 end exponent straight g space Mg space would space contain space space space space space space space space space space space space space space space space space space space space space fraction numerator 6.02 space cross times space 10 to the power of 23 over denominator 24 end fraction cross times space 5.36 space cross times space 10 to the power of negative 2 end exponent space equals space 1.34 space cross times space 10 to the power of 21 space atoms.

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