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Calculate the number of aluminium ions p...

Calculate the number of aluminium ions present in 0.051 g of aluminium oxide.
(Hint: The mass of an ion is the same as that of an atom of the same element. Atomic mass of Al = 27 u)

Text Solution

Verified by Experts

The correct Answer is:
`6.022 xx 10^(20)` ions

mole of aluminium oxide `(Al_(2)O_(3))` = 2 × 27 + 3 × 16 = 102g
i.e., 102g of `Al_(2)O_(3) = 6.022 × 10^(23)` molecules of `Al_(2)O_(3)`
Then, 0.051 g of `Al_(2)O_(3)` contains `=6.022xx10^(23)//102xx0.051` molecules
`= 3.011 × 10^(20)` molecules of `Al_(2)O_(3)`
The number of aluminium ions `(Al^(3+))` present in one molecules of aluminium oxide is 2.
Therefore, The number of aluminium ions `(Al^(3+))` present in `3.11 × 10^(20)` molecules (0.051g) of aluminium oxide `(Al_(2)O_(3)) = 2 × 3.011 × 10^(20)`
`= 6.022 × 10^(20)`
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Knowledge Check

  • The number of aluminium ions present in 54g of aluminium (atomic weight 27) is

    A
    2
    B
    18
    C
    `1.1 xx 10^(24)`
    D
    `1.2 xx 10^(24)`
  • The number of atoms of 0.03 g of aluminium is nearly (Al = 27)

    A
    `6.68 xx10^(20)`
    B
    `6.68xx10^(21)`
    C
    `6.68 xx10^(22)`
    D
    `6.68xx10^(23)`
  • A quantity of aluminium has a mass of 54.0 g . What is the mass of the same number of magnesium atoms ?.

    A
    `12.1 g`
    B
    `23.3 g`
    C
    `48 g`
    D
    `97.2 g`
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