Question

How much sugar will be required if each person on earth is given $100$ molecules of sugar, if the population of earth is taken to be $3\times {10}^{10}$?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B)

The correct options are
A

B

Molecular Formula of Sugar is C₁₂H₂₂O₁₁

Molecular weight of Sugar( C₁₂H₂₂O₁₁ ) = $12\times 12+22\times 1+11\times 16$

= 144 + 22 + 176 $(\because weightofC=12g,O=16g,H=1g)$

= 342 g

No. of molecules required = $3\times {10}^{10}\times {10}^2=3\times {10}^{12}$

$6.023\times {10}^{23}$ molecules weight $\to$ 342 g

$3\times {10}^{12}$ molecules weight$\to$ x

x = $\frac{3\times {10}^{12}\times 342}{6.023\times {10}^{23}}$

$170.34\times {10}^{-11}g$