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Answer 1

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How much sugar(C12H22O11) will be required if each person on earth is given 100 molecules of sugar? (population of earth=3*10^10)

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IS OF MOLE :-

$\orange{\underline{\textit{\blue{\bf{DEFINITION:- }}}}}$

The mole (symbol: mol) is the unit of measurement for amount of substance in the International System of Units (SI). A mole of a substance or a mole of particles is defined as exactly 6.02214076×10^23 particles, which may be atoms, molecules, ions, or electrons.

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sugar(C12H22O11) required for each person on earth :-

GIVEN

100 MOLECULES TO BE GIVEN TO EACH PERSON

POPULATION OF EARTH-->$3 \times {10}^{10}$

$\orange{\underline{\textit{\green{\bf{TOTAL\: MOLECULES \:REQUIRED:-}}}}}$

PER PERSON REQUIREMENT× POPULATION OF EARTH --->

$100 \: molecules \times 3 \times {10}^{10} \\ \\ 3 \times {10}^{12} = \: number \: of \: molecules \: required \: in \: total \:$

SO ONE MOLE OF SUGAR WEIGHT 342 grams

one mole = $6.022 \times {10}^{23} \: molecules \:$=342 grams

so one molecules weights -->

$\frac{342}{6.022 \times {10}^{23} } \: grams$

so 3×10^12 molecules weights -->

$\frac{342}{6.022 \times {10}^{23} } \times 3 \times {10}^{12} \: \: grams$

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$\underline{\blue{170 \times {10}^{ - 11} \: \: grams}}$

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