Answer:
1) 0.9 x 10³ or 900 moles
2) 9.033 x 10²³ molecules
3) 0.422 x 10⁶ moles
4) 5.62 x 10²⁴ molecules
5) 1.22 x 10²⁴ molecules
6) 3.24 x 10²⁴ atoms
7) 0.533 x 10⁵ moles
8) 2.72 x 10²⁴ atoms
9) 0.71 x 10⁴ moles
10) 1.50 x 10²⁴ molecules
Explanation:
Part 1.
Data Given:
Number of atoms of Calcium (Ca) = 5.42×10²⁶ atoms
number of moles of Calcium (Ca) = ?
Solution:
we have to find number of moles of Calcium (Ca)
The formula used for this purpose
No. of moles = no. of atoms / Avogadro's number
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation
No. of moles = 5.42×10²⁶ atoms / 6.022 x 10²³
No. of moles = 0.9 x 10³ or 900 moles
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Part 2.
Data Given:
number of moles of carbon dioxide (CO₂) = 1.50 moles
Number of molecules CO₂ = ?
Solution:
we have to find number of molecules CO₂
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
Rearrange the equation
no. of molecules = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of molecules = 1.50 moles x 6.022 x 10²³
No. of molecules = 9.033 x 10²³
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Part 3.
Data Given:
Number of molecules of water (H₂O) = 2.54×10²⁹ molecules
number of moles of water (H₂O) = ?
Solution:
we have to find number of moles of water (H₂O)
The formula used for this purpose
No. of moles = no. of atoms / Avogadro's number
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation
No. of moles = 2.54×10²⁹ atoms / 6.022 x 10²³
No. of moles = 0.422 x 10⁶
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Part 4.
Data Given:
number of moles of AgCl = 9.34 moles
Number of molecules AgCl = ?
Solution:
we have to find number of molecules AgCl
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
Rearrange the equation
no. of molecules = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of molecules = 9.34 moles x 6.022 x 10²³
No. of molecules = 5.62 x 10²⁴
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Part 5.
Data Given:
number of moles of Al₂(SO₄)₃ = 2.03 moles
Number of molecules Al₂(SO₄)₃ = ?
Solution:
we have to find number of molecules Al₂(SO₄)₃
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
Rearrange the equation
no. of molecules = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of molecules = 2.03 moles x 6.022 x 10²³
No. of molecules = 1.22 x 10²⁴
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Part 6.
Data Given:
number of moles of Mg = 5.55 moles
Number of atoms Mg = ?
Solution:
we have to find number of molecules Mg
The formula used for this purpose
No. of moles = no. of atoms / Avogadro's number
Rearrange the equation
no. of atoms = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of atoms = 5.55 moles x 6.022 x 10²³
No. of atoms = 3.24 x 10²⁴
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Part 7.
Data Given:
Number of molecules of N₂ = 3.21×10²⁸ molecules
number of moles of N₂ = ?
Solution:
we have to find number of moles of N₂
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation
No. of moles = 3.21×10²⁸ Molecules / 6.022 x 10²³
No. of moles = 0.533 x 10⁵
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Part 8.
Data Given:
number of moles of Carbon = 4.52 moles
Number of atoms Carbon = ?
Solution:
we have to find number of molecules Carbon
The formula used for this purpose
No. of moles = no. of atoms / Avogadro's number
Rearrange the equation
no. of atoms = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of atoms = 4.52 moles x 6.022 x 10²³
No. of atoms = 2.72 x 10²⁴
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Part 9.
Data Given:
Number of molecules of N₂O₅ = 4.3×10²⁷ molecules
number of moles of N₂O₅ = ?
Solution:
we have to find number of moles of N₂O₅
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation
No. of moles = 4.3×10²⁷ Molecules / 6.022 x 10²³
No. of moles = 0.71 x 10⁴ moles
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Part 10.
Data Given:
number of moles of water (H₂O) = 2.5 moles
Number of molecules water (H₂O)= ?
Solution:
we have to find number of molecules water (H₂O)
The formula used for this purpose
No. of moles = no. of molecules / Avogadro's number
Rearrange the equation
no. of molecules = No. of moles x Avogadro's number . . . . . (1)
where as
Avogadro's number = 6.022 x 10²³
Put values in the equation 1
No. of molecules = 2.5 moles x 6.022 x 10²³
No. of molecules = 1.50 x 10²⁴
