NVAEasyJEE 2024Oxidation Number & Redox Reactions

JEE Chemistry 2024 Question with Solution

11 mole of PbS\text{PbS} is oxidized by “XX” moles of O3\text{O}_3 to get “YY” moles of O2\text{O}_2. X+Y=?X + Y = ?

Answer

Correct answer:8

Step-by-step solution

Standard Method

Given: 11 mole of PbS\text{PbS} is oxidized by ozone.

Find: X+YX + Y, where XX is the moles of O3\text{O}_3 used and YY is the moles of O2\text{O}_2 formed.

From the balanced reaction:

PbS+4O3PbSO4+4O2\text{PbS} + 4\text{O}_3 \rightarrow \text{PbSO}_4 + 4\text{O}_2

So, for 11 mole of PbS\text{PbS}:

  • X=4X = 4
  • Y=4Y = 4

Therefore,

X+Y=4+4=8X + Y = 4 + 4 = 8

Hence, the required value is 88.

Direct Stoichiometric Reading

Given: the balanced equation

PbS+4O3PbSO4+4O2\text{PbS} + 4\text{O}_3 \rightarrow \text{PbSO}_4 + 4\text{O}_2

Find: X+YX + Y.

Read the coefficients directly from the balanced equation for 11 mole of PbS\text{PbS}. The coefficient of O3\text{O}_3 gives X=4X = 4 and the coefficient of O2\text{O}_2 gives Y=4Y = 4.

So,

X+Y=4+4=8X + Y = 4 + 4 = 8

Therefore, the answer is 88.

Common mistakes

  • Taking the coefficient of O3\text{O}_3 incorrectly from an unbalanced equation is wrong because stoichiometric mole ratios come only from the balanced reaction. First balance the reaction, then read XX and YY.

  • Adding reactant and product species without identifying what XX and YY represent is wrong. Here, XX is only the moles of O3\text{O}_3 consumed and YY is only the moles of O2\text{O}_2 produced.

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