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1. Some basic concept of chemistry — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry1. Some basic concept of chemistry1 Mark
MCQ
Diatoms, microscopic organisms, are an abundant food source in the oceans producing carbohydrates from carbon dioxide and water by photosynthesis

$6CO_2 + 6H_2O + solar energy \to C_6H_{12}O_6+6O_2$

A blue whales gain $75\ kg$ of mass per day by feeding on krill. The whale must consume ten times this mass of krill each day. The krill must consume $10.0\ kg$ of diatoms to produce $1.0\ kg$ of krill. Assuming that the mass gain of a whale's life is due to the consumption of carbohydrates $(C_6H_{12}O_6)$ , calculate the moles of $CO_2$ that must be used by the diatoms to produce the carbohydrates consumed by a blue whale in a day

  • ✓
    $2.5 × 10^5\ mol$
  • B
    $2.5 × 10^4\ mol$
  • C
    $2.5 × 10^7\ mol$
  • D
    $2.5 × 10^8\ mol$
✓

Answer

Correct option: A.
$2.5 × 10^5\ mol$
a
Moles of $C_6H_{12}O_6$ required = $\frac{{7500 \times 10 \times 10}}{{180}}$

Moles of $CO_2$ required = $\frac{{7500 \times 10 \times 10}}{{180}} \times 6$ = $2500 \times 100$ = $2.5 \times {10^5}\, mol$

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