JEE MainChemistrySolid State
Two elements X and Y form two different compounds having formulas X ₅ Y ₂ and XY ₂ . The atomic mass of element X is twice the atomic mass of element Y . If equal masses of both the compounds are taken, the ratio of the number of moles of XY ₂ to the number of moles of X ₅ Y ₂ is _____.
Correct answer
3
Step-by-step solution
Let the atomic mass of element Y be M . The atomic mass of element X is 2M . Molar mass of X ₅ Y ₂ = 5(2M) + 2(M) = 12M . Molar mass of XY ₂ = 1(2M) + 2(M) = 4M . Let the given mass of each compound be w . Number of moles of X ₅ Y ₂ , n₁ = w 12M . Number of moles of XY ₂ , n₂ = w 4M . Ratio of moles = n₂ n₁ = w 4M w 12M = 12 4 = 3 . Answer: 3