Cortisone is a molecular substance containing 21 atoms of carbon per molecule. The mass percentage of carbon in cortisone is 69.98%. What is the molecular mass of cortisone?

360.4

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176.5

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287.6

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312.8

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Solution

The correct option is B 360.4
1 mole contains 21 x 12g of carbon
5 of carbon = $\frac{w e i g h t o f c a r b o n}{m o l e c u l a r w e i g h t} \times 100$
Therefore, 69.98= $\frac{21 \times 12 \times 100}{m o l e c u l a r w e i g h t}$
Therefore molecular mass of cortisone = $\frac{21 \times 12 \times 100}{69.98}$ =360.4g

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21

69.98

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360 g / m o l

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