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Silver has a density of 10.5 g/cm3. The number of Silver atoms on a surface of area 10–12 m2 can be expressed in scientific notation as y × 10x. The value of ‘x’ is? (Given. At.Wt of silver = 108g/mol)
- a)7
- b)8
- c)6
- d)4
Correct answer is option 'A'. Can you explain this answer?
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Silver has a density of 10.5 g/cm3. The number of Silver atoms on a su...
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Silver has a density of 10.5 g/cm3. The number of Silver atoms on a su...
-8 cm2 (approximately the size of a small virus) is:
First, we need to calculate the volume of silver on the surface:
Volume = area x thickness
Assuming the thickness of the silver layer is one atom thick, the volume is:
Volume = 10^-8 cm2 x (10^-8 cm) = 10^-16 cm3
Next, we need to calculate the mass of the silver on the surface:
Mass = density x volume
Mass = 10.5 g/cm3 x 10^-16 cm3 = 1.05 x 10^-15 g
Finally, we can calculate the number of atoms using the atomic mass of silver:
1 mole of silver = 107.87 g (atomic mass)
1.05 x 10^-15 g of silver is:
(1.05 x 10^-15 g) / (107.87 g/mol) = 9.73 x 10^-18 moles of silver
1 mole of silver contains 6.022 x 10^23 atoms, so:
9.73 x 10^-18 moles x 6.022 x 10^23 atoms/mole = 5.85 x 10^6 atoms
Therefore, there are approximately 5.85 million silver atoms on a surface of area 10^-8 cm2.
First, we need to calculate the volume of silver on the surface:
Volume = area x thickness
Assuming the thickness of the silver layer is one atom thick, the volume is:
Volume = 10^-8 cm2 x (10^-8 cm) = 10^-16 cm3
Next, we need to calculate the mass of the silver on the surface:
Mass = density x volume
Mass = 10.5 g/cm3 x 10^-16 cm3 = 1.05 x 10^-15 g
Finally, we can calculate the number of atoms using the atomic mass of silver:
1 mole of silver = 107.87 g (atomic mass)
1.05 x 10^-15 g of silver is:
(1.05 x 10^-15 g) / (107.87 g/mol) = 9.73 x 10^-18 moles of silver
1 mole of silver contains 6.022 x 10^23 atoms, so:
9.73 x 10^-18 moles x 6.022 x 10^23 atoms/mole = 5.85 x 10^6 atoms
Therefore, there are approximately 5.85 million silver atoms on a surface of area 10^-8 cm2.
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Silver has a density of 10.5 g/cm3. The number of Silver atoms on a surface of area 10–12 m2 can be expressed in scientific notation as y × 10x. The value of ‘x’ is? (Given. At.Wt of silver = 108g/mol)a)7b)8c)6d)4Correct answer is option 'A'. Can you explain this answer?
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