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Suppose the elements X and Y combine to form two compounds XY2 and X3Y2. When 0.1 mole of XY2 weighs 10 g and 0.05 mole of X3Y2 weighs 9 g, the atomic weights of X and Y are
  • a)
    40, 30 
  • b)
    60, 40 
  • c)
    20, 30 
  • d)
    30, 20
Correct answer is option 'A'. Can you explain this answer?
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Suppose the elements X and Y combine to form two compounds XY2and X3Y2...
Let atomic weight of element X is x and that of element Y is y

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Suppose the elements X and Y combine to form two compounds XY2and X3Y2...
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Suppose the elements X and Y combine to form two compounds XY2and X3Y2...
Explanation:

To find the atomic weights of X and Y, we need to use the given information about the compounds XY2 and X3Y2.

Step 1: Calculate the molar mass of XY2 and X3Y2.

Molar mass of XY2 = (mass of XY2 / number of moles of XY2) = (10 g / 0.1 mol) = 100 g/mol

Molar mass of X3Y2 = (mass of X3Y2 / number of moles of X3Y2) = (9 g / 0.05 mol) = 180 g/mol

Step 2: Write the empirical formula of XY2 and X3Y2.

Empirical formula of XY2 = XY

Empirical formula of X3Y2 = XY2

Step 3: Find the atomic ratios of X and Y in the two compounds.

In XY2, the ratio of X to Y is 1:2.

In X3Y2, the ratio of X to Y is 3:2.

Step 4: Use the atomic ratios to set up two equations and solve for the atomic weights of X and Y.

Let the atomic weight of X be a and the atomic weight of Y be b.

For XY2: a + 2b = 100

For X3Y2: 3a + 2b = 180

Solving the equations simultaneously, we get a = 40 and b = 30.

Therefore, the atomic weights of X and Y are 40 and 30, respectively.

Answer: Option A (40, 30)
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Suppose the elements X and Y combine to form two compounds XY2and X3Y2. When 0.1 mole of XY2weighs 10 g and 0.05 mole of X3Y2weighs 9 g, the atomic weights of X and Y area)40, 30b)60, 40c)20, 30d)30, 20Correct answer is option 'A'. Can you explain this answer?
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