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The simplest formula of a compound containing 50% of element X (atomic mass 10) and 50% of element Y (atomic mass 20) is

  • a)
    XY

  • b)
    XY3

  • c)
    X2

  • d)
    X2Y3

Correct answer is option 'C'. Can you explain this answer?
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Understanding the Compound Composition
To determine the simplest formula of the compound with 50% of elements X and Y, we first need to analyze the given data:
- Element X:
- Atomic Mass = 10
- Percentage = 50%
- Element Y:
- Atomic Mass = 20
- Percentage = 50%
Calculating Moles of Each Element
To find the simplest formula, we convert the percentages into moles:
- Moles of X:
- Moles = Percentage / Atomic Mass = 50 / 10 = 5 moles
- Moles of Y:
- Moles = Percentage / Atomic Mass = 50 / 20 = 2.5 moles
Finding the Simplest Ratio
Next, we find the ratio of the moles of each element:
- Ratio for X: 5 moles
- Ratio for Y: 2.5 moles
To simplify, divide both by the smallest number of moles (2.5):
- X: 5 / 2.5 = 2
- Y: 2.5 / 2.5 = 1
Thus, the ratio of X to Y is 2:1.
Writing the Empirical Formula
From the ratio calculated, we can now write the empirical formula:
- The formula based on the ratio 2:1 is X2Y.
Conclusion
Therefore, the simplest formula of the compound containing 50% of element X and 50% of element Y is X2Y, confirming that option 'C' is indeed correct.
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The simplest formula of a compound containing 50% of element X (atomic mass 10) and 50% of element Y (atomic mass 20) isa)XYb)XY3c)X2Yd)X2Y3Correct answer is option 'C'. Can you explain this answer?
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