If every person on Earth is given 100 molecul | vedclass

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Question

(D) Total number of sugar molecules required $= (	ext{Population}) 	imes (	ext{Molecules per person})$$= 3 	imes 10^{10} 	imes 100 = 3 	imes 10^

Vedclass · Accepted Answer

$171 	imes 10^{-11} \ g$

Vedclass · Answer

(D) Total number of sugar molecules required $= (	ext{Population}) 	imes (	ext{Molecules per person})$$= 3 	imes 10^{10} 	imes 100 = 3 	imes 10^{12} 	ext{ molecules}$.Number of moles of sugar $= \frac{	ext{Total molecules}}{N_A} = \frac{3 	imes 10^{12}}{6.022 	imes 10^{23}} \approx 0.5 	imes 10^{-11} 	ext{ mol}$.Mass of sugar $= 	ext{Moles} 	imes 	ext{Molar mass} = 0.5 	imes 10^{-11} 	imes 342 \ g/mol$.$= 171 	imes 10^{-11} \ g$.

If every person on Earth is given $100$ molecules of sugar,how much sugar $(C_{12}H_{22}O_{11})$ is required? (Assume the population of Earth is $3 \times 10^{10}$ and the molar mass of sugar is $342 \ g/mol$)

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