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How much time (in seconds) would it take to distribute one Avogadro number of wheat grains if 10¹⁰ grains are distributed each second?

A. 3.34×10¹⁷ seconds
B. 6.02×10²³ seconds
C. 6.02×10¹³ seconds
D. 3.34×10⁶ seconds

1 Answer

6 votes

Final answer:

To find how long it would take to distribute one Avogadro number of grains at a rate of 10¹° grains per second, divide Avogadro's number by the distribution rate, which equals 6.02 × 10±³ seconds. The correct answer is C.

Step-by-step explanation:

The student is asking about Avogadro's number, which is a constant used in chemistry representing the number of particles (atoms, molecules, etc.) in a mole. It is equivalent to 6.02 × 10²³ particles. To determine how much time it would take to distribute one Avogadro number of wheat grains at a rate of 10¹° grains per second, we divide Avogadro's number by the distribution rate:

Total Time (seconds) = Avogadro's number / distribution rate

Total Time (seconds) = 6.02 × 10²³ / 10¹°

Total Time (seconds) = (6.02 × 10²³) / (10 × 10¹)

Total Time (seconds) = 6.02 × 10²³ / 10±°

Total Time (seconds) = 6.02 × 10±³

Therefore, the correct answer is C, 6.02 × 10±³ seconds.

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