How much sugar - -C-12H-22O-11- will be required if nbsp-each person on earth is given - 100- molecules of nbsp-sugar- The population of the earth is - 3- 10-10- 170-43- 10-10g- 170-43- 10-11g- 340-86- 10-11g- 340-86- 10-10g-

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How much suga...

Question

How much sugar $(C_{12} H_{22} O_{11})$ will be required if each person on earth is given $100$ molecules of sugar? The population of the earth is $3 \times 10^{10}$ .

170.43 \times 10^{- 10} g

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170.43 \times 10^{- 11} g

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340.86 \times 10^{- 11} g

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340.86 \times 10^{- 10} g

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Solution

The correct option is B $170.43 \times 10^{- 11} g$
The sugar given to the entire population on earth is $3 \times 10^{10} \times 10^{2} = 3 \times 10^{12}$ molecules.
One mole $(6 \times 10^{23})$ molecules of sugar corresponds to $342$ g.
Hence, $3 \times 10^{12}$ molecules of sugar corresponds to $\frac{3 \times 10^{12}}{6 \times 10^{23}} \times 342 = 170.43 \times 10^{- 11}$ g.
Therefore, sugar required is $170.43 \times 10^{- 11}$ g.

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How much sugar (C12H22O11) will be required if each person on earth is given 100 molecules of sugar? The population of the earth is 3×1010.

How much sugar $(C_{12} H_{22} O_{11})$ will be required if each person on earth is given $100$ molecules of sugar? The population of the earth is $3 \times 10^{10}$ .