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How much time (in hours) would it take to distribute one Avogadro number of wheat grains if 1020 grains are distributed each second?
- a)0.1673
- b)1.673
- c)16.73
- d)167.3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How much time (in hours) would it take to distribute one Avogadro numb...
6 x 1023 gram wheat
1 sec → 102O gm distributed
1 hour - 3600sec - 1020 x 3600
= 3.6 x 1023 wheat
3.6 x 1023g — 1 hour
Most Upvoted Answer
How much time (in hours) would it take to distribute one Avogadro numb...
Please note 1year equals to 3600×24×365..so divide them by avogadro no . and u will get ans..
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Community Answer
How much time (in hours) would it take to distribute one Avogadro numb...
Given:
- 1020 wheat grains are distributed each second.
- Avogadro number of wheat grains need to be distributed.
To find:
- Time required to distribute Avogadro number of wheat grains.
Solution:
Avogadro number is defined as the number of atoms, molecules, or particles in one mole of substance, which is equal to 6.022 x 10^23.
To distribute one Avogadro number of wheat grains, we need to distribute 6.022 x 10^23 wheat grains.
Let's use unitary method to find the time required to distribute this many wheat grains.
- 1020 wheat grains are distributed in one second.
- Therefore, 6.022 x 10^23 wheat grains will be distributed in:
(6.022 x 10^23 wheat grains) / (1020 wheat grains/second)
= (6.022 x 10^23 / 1020) seconds
= 5.905 x 10^20 seconds
However, this answer is in seconds, which is not a convenient unit of time for us to understand. Let's convert it to hours.
1 hour = 60 minutes x 60 seconds = 3600 seconds
Therefore,
5.905 x 10^20 seconds = (5.905 x 10^20 seconds) / (3600 seconds/hour)
= 1.640 x 10^17 hours
Rounding this off to 3 significant figures, we get:
= 1.67 x 10^2 hours
= 167 hours (approximately)
Therefore, the time required to distribute one Avogadro number of wheat grains is approximately 167 hours.
Answer: Option B. 1.673 hours.
- 1020 wheat grains are distributed each second.
- Avogadro number of wheat grains need to be distributed.
To find:
- Time required to distribute Avogadro number of wheat grains.
Solution:
Avogadro number is defined as the number of atoms, molecules, or particles in one mole of substance, which is equal to 6.022 x 10^23.
To distribute one Avogadro number of wheat grains, we need to distribute 6.022 x 10^23 wheat grains.
Let's use unitary method to find the time required to distribute this many wheat grains.
- 1020 wheat grains are distributed in one second.
- Therefore, 6.022 x 10^23 wheat grains will be distributed in:
(6.022 x 10^23 wheat grains) / (1020 wheat grains/second)
= (6.022 x 10^23 / 1020) seconds
= 5.905 x 10^20 seconds
However, this answer is in seconds, which is not a convenient unit of time for us to understand. Let's convert it to hours.
1 hour = 60 minutes x 60 seconds = 3600 seconds
Therefore,
5.905 x 10^20 seconds = (5.905 x 10^20 seconds) / (3600 seconds/hour)
= 1.640 x 10^17 hours
Rounding this off to 3 significant figures, we get:
= 1.67 x 10^2 hours
= 167 hours (approximately)
Therefore, the time required to distribute one Avogadro number of wheat grains is approximately 167 hours.
Answer: Option B. 1.673 hours.
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