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Question: Consider the elements of actinoid series from Actinum (Ac) to Lawrencium (Lr), if the number of elem...

Consider the elements of actinoid series from Actinum (Ac) to Lawrencium (Lr), if the number of elements having only oxidation state +3 is x, and elements having +6 oxidaiton state is y, calculate value of 10xy

Answer

120

Explanation

Solution

The actinoid series comprises 15 elements from Actinium (Ac, Z=89) to Lawrencium (Lr, Z=103).

  1. Elements with only +3 oxidation state (x):

    • Actinium (Ac): Exhibits only +3.
    • Fermium (Fm): Primarily +3, other states are very unstable. Considered only +3 for competitive exams.
    • Lawrencium (Lr): Exhibits only +3. Thus, x=3x = 3.
  2. Elements with +6 oxidation state (y): The elements that exhibit a +6 oxidation state are:

    • Uranium (U)
    • Neptunium (Np)
    • Plutonium (Pu)
    • Americium (Am) Thus, y=4y = 4.
  3. Calculate 10xy: 10xy=10×3×4=12010xy = 10 \times 3 \times 4 = 120.