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One atom of an element weighs 3.32 x 10-23 g. How many number of gram atoms are there in 20 kg of the element?
- a)2000
- b)20
- c)200
- d)1000
Correct answer is option 'D'. Can you explain this answer?
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One atom of an element weighs 3.32 x 10-23 g. How many number of gram ...
Atomic mass of an element
= Mass of one atom x NA
= 3.32 x 10-23 x 6.023 x 1023 = 19.99 = 20 g
No. of gram atoms
= Mass of one atom x NA
= 3.32 x 10-23 x 6.023 x 1023 = 19.99 = 20 g
No. of gram atoms
Most Upvoted Answer
One atom of an element weighs 3.32 x 10-23 g. How many number of gram ...
Given: Weight of one atom of an element = 3.32 x 10-23 g, Mass of the element = 20 kg
To find: Number of gram atoms in 20 kg of the element
Calculation:
1. First, we need to find the atomic weight of the element using the weight of one atom.
Atomic weight = Weight of Avogadro's number of atoms / Avogadro's number
Avogadro's number = 6.022 x 1023
Weight of Avogadro's number of atoms = 3.32 x 10-23 g x 6.022 x 1023
= 19.98 g
Atomic weight = 19.98 g / 6.022 x 1023
= 3.32 x 10-3 g/mol
2. Now, we can find the number of moles of the element in 20 kg using the formula:
Number of moles = Mass of the element / Molecular weight
Molecular weight = Atomic weight
Number of moles = 20 kg / (3.32 x 10-3 g/mol)
= 6.024 x 106 mol
3. Finally, we can find the number of gram atoms in 20 kg by multiplying the number of moles with Avogadro's number:
Number of gram atoms = Number of moles x Avogadro's number
= 6.024 x 106 mol x 6.022 x 1023
= 3.63 x 1030 gram atoms
≈ 1000 (as per the given options)
Therefore, the number of gram atoms in 20 kg of the element is 1000, which is option D.
To find: Number of gram atoms in 20 kg of the element
Calculation:
1. First, we need to find the atomic weight of the element using the weight of one atom.
Atomic weight = Weight of Avogadro's number of atoms / Avogadro's number
Avogadro's number = 6.022 x 1023
Weight of Avogadro's number of atoms = 3.32 x 10-23 g x 6.022 x 1023
= 19.98 g
Atomic weight = 19.98 g / 6.022 x 1023
= 3.32 x 10-3 g/mol
2. Now, we can find the number of moles of the element in 20 kg using the formula:
Number of moles = Mass of the element / Molecular weight
Molecular weight = Atomic weight
Number of moles = 20 kg / (3.32 x 10-3 g/mol)
= 6.024 x 106 mol
3. Finally, we can find the number of gram atoms in 20 kg by multiplying the number of moles with Avogadro's number:
Number of gram atoms = Number of moles x Avogadro's number
= 6.024 x 106 mol x 6.022 x 1023
= 3.63 x 1030 gram atoms
≈ 1000 (as per the given options)
Therefore, the number of gram atoms in 20 kg of the element is 1000, which is option D.
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One atom of an element weighs 3.32 x 10-23 g. How many number of gram atoms are there in 20 kg of the element?a)2000b)20c)200d)1000Correct answer is option 'D'. Can you explain this answer?
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