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JEE Chemistry 2025 Question with Solution

0.1M0.1 \, \text{M} solution of KI reacts with excess of H2SO4H_2SO_4 and KIO3_3, according to the equation:

5I+6H+3I2+3H2O5I^- + 6H^+ \rightarrow 3I_2 + 3H_2O

Identify the correct statements: (A) 200mL200 \, \text{mL} of KI solution reacts with 0.004mol0.004 \, \text{mol} of KIO3_3 (B) 200mL200 \, \text{mL} of KI solution reacts with 0.006mol0.006 \, \text{mol} of H2SO4H_2SO_4 (C) 0.5L0.5 \, \text{L} of KI solution produced 0.005mol0.005 \, \text{mol} of I2I_2 (D) Equivalent weight of KIO3_3 is equal to:

Molecular weight5\frac{\text{Molecular weight}}{5}

Choose the correct answer from the options given below:

  • A

    (A) and (D) only

  • B

    (A) and (B) only

  • C

    (B) and (C) only

  • D

    (C) and (D) only

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: A 0.1M0.1 \, \text{M} KI solution reacts according to

5I+IO3+6H+3I2+3H2O5I^- + IO_3^- + 6H^+ \rightarrow 3I_2 + 3H_2O

Find: Which among statements (A) to (D) are correct.

For 200mL=0.2L200 \, \text{mL} = 0.2 \, \text{L} of 0.1M0.1 \, \text{M} KI, moles of iodide are

nI=0.1×0.2=0.02moln_{I^-} = 0.1 \times 0.2 = 0.02 \, \text{mol}

From the balanced reaction, 55 moles of II^- react with 11 mole of IO3IO_3^-. Therefore, required moles of KIO3_3 are

0.025=0.004mol\frac{0.02}{5} = 0.004 \, \text{mol}

So statement (A) is correct.

For acid requirement, 55 moles of II^- need 66 moles of H+H^+. Hence for 0.02mol0.02 \, \text{mol} of II^-,

nH+=65×0.02=0.024moln_{H^+} = \frac{6}{5} \times 0.02 = 0.024 \, \text{mol}

Since each H2SO4H_2SO_4 gives 2H+2H^+, required moles of H2SO4H_2SO_4 are

0.0242=0.012mol\frac{0.024}{2} = 0.012 \, \text{mol}

Therefore statement (B) is false.

For 0.5L0.5 \, \text{L} of 0.1M0.1 \, \text{M} KI, moles of II^- are

0.1×0.5=0.05mol0.1 \times 0.5 = 0.05 \, \text{mol}

From the reaction, 55 moles of II^- produce 33 moles of I2I_2. Thus,

nI2=35×0.05=0.03moln_{I_2} = \frac{3}{5} \times 0.05 = 0.03 \, \text{mol}

So statement (C) is false. The solution also indicates a discrepancy with one approach that mentioned 0.005mol0.005 \, \text{mol}, but the detailed stoichiometric calculation gives 0.03mol0.03 \, \text{mol}, which is consistent with the balanced equation.

For KIO3_3, the iodate ion undergoes a 55-electron change in this redox process. Therefore, its equivalent weight is

Molecular weight5\frac{\text{Molecular weight}}{5}

Hence statement (D) is correct.

Therefore, the correct statements are (A) and (D) only. The correct option is A.

Statement-wise Verification

Given: Statements must be checked using the reaction stoichiometry. Find: Which statements are true.

  1. Statement (A):
Moles of KI in 200mL=0.1×0.2=0.02mol\text{Moles of KI in } 200 \, \text{mL} = 0.1 \times 0.2 = 0.02 \, \text{mol}

Using

5I:1IO35I^- : 1IO_3^-

we get

IO3=0.025=0.004molIO_3^- = \frac{0.02}{5} = 0.004 \, \text{mol}

So (A) is true.

  1. Statement (B): Using
5I:6H+5I^- : 6H^+

for 0.02mol0.02 \, \text{mol} of II^-,

H+=65×0.02=0.024molH^+ = \frac{6}{5} \times 0.02 = 0.024 \, \text{mol}

Hence,

H2SO4=0.0242=0.012molH_2SO_4 = \frac{0.024}{2} = 0.012 \, \text{mol}

So (B) is false.

  1. Statement (C):
Moles of KI in 0.5L=0.1×0.5=0.05mol\text{Moles of KI in } 0.5 \, \text{L} = 0.1 \times 0.5 = 0.05 \, \text{mol}

Using

5I:3I25I^- : 3I_2

we get

I2=35×0.05=0.03molI_2 = \frac{3}{5} \times 0.05 = 0.03 \, \text{mol}

So (C) is false.

  1. Statement (D): Equivalent weight in a redox reaction is molecular weight divided by the number of electrons involved per formula unit. For KIO3_3, this number is 55. Therefore,
Equivalent weight=Molecular weight5\text{Equivalent weight} = \frac{\text{Molecular weight}}{5}

So (D) is true.

Thus, only statements (A) and (D) are correct, so the correct option is A.

Common mistakes

  • Treating the reaction as if 55 moles of II^- produce 11 mole of I2I_2. This is wrong because the balanced equation shows 5I3I25I^- \rightarrow 3I_2 overall. Always read the full stoichiometric coefficients before calculating product moles.

  • Using moles of H+H^+ directly as moles of H2SO4H_2SO_4. This is incorrect because each mole of H2SO4H_2SO_4 supplies 22 moles of H+H^+. First find required H+H^+, then divide by 22 to get moles of acid.

  • Confusing the equivalent weight of KIO3_3 with molecular weight itself. In redox reactions, equivalent weight depends on electron change, not only formula mass. Here the correct divisor is 55.

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