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How much time (in hours) would it take to distribute one Avogadro number of wheat grains if 1020grains 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?
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
1 sec → 102O gm distributed
1 hour - 3600sec - 1020 x 3600
= 3.6 x 1023 wheat
3.6 x 1023g — 1 hour
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
How much time (in hours) would it take to distribute one Avogadro numb...
To solve this problem, we need to find the total number of seconds required to distribute one Avogadro number of wheat grains and then convert it into hours.
Given:
- 1020 grains are distributed each second.
To find the total number of seconds required to distribute one Avogadro number of wheat grains, we can use the formula:
Total seconds = (Total grains) / (Grains distributed per second)
Since Avogadro's number is defined as the number of atoms or molecules in one mole of substance, and one mole of a substance is equal to its molar mass in grams, we can use Avogadro's number to represent the total number of wheat grains.
Avogadro's number = 6.022 x 10^23
Total grains = Avogadro's number = 6.022 x 10^23 grains
Now, we can calculate the total number of seconds required:
Total seconds = (6.022 x 10^23 grains) / (1020 grains/second)
= 5.9 x 10^20 seconds
To convert this into hours, we can use the conversion factor:
1 hour = 60 minutes x 60 seconds = 3600 seconds
Total hours = (5.9 x 10^20 seconds) / (3600 seconds/hour)
= 1.6 x 10^17 hours
Since the options are given in decimal form, we can write this in scientific notation as:
1.6 x 10^17 hours = 1.6 x 10^(17-2) x 10^2 hours = 1.6 x 10^15 x 100 hours
= 1.6 x 10^17 hours
So, the answer is option B: 1.673 hours.
Given:
- 1020 grains are distributed each second.
To find the total number of seconds required to distribute one Avogadro number of wheat grains, we can use the formula:
Total seconds = (Total grains) / (Grains distributed per second)
Since Avogadro's number is defined as the number of atoms or molecules in one mole of substance, and one mole of a substance is equal to its molar mass in grams, we can use Avogadro's number to represent the total number of wheat grains.
Avogadro's number = 6.022 x 10^23
Total grains = Avogadro's number = 6.022 x 10^23 grains
Now, we can calculate the total number of seconds required:
Total seconds = (6.022 x 10^23 grains) / (1020 grains/second)
= 5.9 x 10^20 seconds
To convert this into hours, we can use the conversion factor:
1 hour = 60 minutes x 60 seconds = 3600 seconds
Total hours = (5.9 x 10^20 seconds) / (3600 seconds/hour)
= 1.6 x 10^17 hours
Since the options are given in decimal form, we can write this in scientific notation as:
1.6 x 10^17 hours = 1.6 x 10^(17-2) x 10^2 hours = 1.6 x 10^15 x 100 hours
= 1.6 x 10^17 hours
So, the answer is option B: 1.673 hours.
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How much time (in hours) would it take to distribute one Avogadro number of wheat grains if 1020grains are distributed each second?a)0.1673b)1.673c)16.73d)167.3Correct answer is option 'B'. Can you explain this answer?
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