Question

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

Answer 1

Explanation:

1015 x 3 x 1010 moles = 3 x 1025 moles of sugar per day

Gram Atomic Mass of 1 mole of sugar = 12 x 12 + 1 x 22 + 16 x 12

= 144 + 22 + 192

=358 g

Mass of 3 x 1025 moles of sugar = 3 x 1025 x 358 grams

= 1074 x 1025 grams

= 1074 x 1022 kg of sugar

So 1074 x 1022 kg of sugar would be required per day.

sugar would be required per day.

Answer 2

$\huge\boxed{\fcolorbox{red}{blue}{ QUESTION }}$

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

$\orange{\underline{\textit{\green{\bf{CONCEPT \:used:-}}}}}$

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.

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

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

GIVEN

• 100 MOLECULES TO BE GIVEN TO EACH PERSON
• POPULATION OF EARTH-->$3 \times {10}^{10}$

$\orange{\underline{\textit{\</strong><strong>g</strong><strong>r</strong><strong>e</strong><strong>e</strong><strong>n</strong><strong>{\bf{</strong><strong>TOTAL\</strong><strong>:</strong><strong> MOLECULES </strong><strong>\</strong><strong>:</strong><strong>REQUIRED</strong><strong>:-</strong><strong>}}}}}$

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 -->

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

$\orange{\underline{\textit{\red{\bf{ </strong><strong>REQUIRED\</strong><strong>;</strong><strong> WEIGHT</strong><strong>}}}}}$

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

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