Caffeine has a molecular weight of 194. It contains 28.9% by mass of nitrogen Number of atoms of nitrogen in one molecule of it?

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Solution

$M a s s o f n i t r o g e n = 28.9 % o f c a f f i n e m o l e c u l a r m a s s = \frac{28.9}{100} \times 194 = 56.07 % N u m b e r o f m o l e s o f n i t r o g e n = \frac{m a s s o f t h e g i v e n s u b s \tan c e i n g}{m o l a r m a s s} = \frac{56.07}{28} = 2.0025 m o l e s N u m b e r o f m o l e c u l e s = m o l e \times a v o g a d r o n u m b e r = 2.0025 \times 6.022 \times 10^{23} = 12.06 \times 10^{23} m o l e c u l e s N u m b e r o f a t o m s = 2 \times 12.06 \times 10^{23} (\sin c e 1 m o l e c u l e o f n i t r o g e n h a s 2 a t o m s) = 24.12 \times 10^{23} a t o m s$

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