NVAEasyJEE 2026Oxidation Number & Redox Reactions

JEE Chemistry 2026 Question with Solution

200 cc of x×103x \times 10^{-3} M potassium dichromate is required to oxidise 750 cc of 0.6 M Mohr's salt solution in acidic medium. Here x = \_____.

Answer

Correct answer:375

Step-by-step solution

Standard Method

Given: Volume of potassium dichromate solution = 200 cc200 \text{ cc}, molarity = x×103 Mx \times 10^{-3} \text{ M}. Volume of Mohr's salt solution = 750 cc750 \text{ cc}, molarity = 0.6 M0.6 \text{ M}.

Find: The value of xx.

Use the normality relation:

N1V1=N2V2N_1 V_1 = N_2 V_2

For K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7, n-factor =6= 6, so

N1=6×M1=6x×103N_1 = 6 \times M_1 = 6x \times 10^{-3}

For Mohr's salt, Fe2+Fe3+\text{Fe}^{2+} \to \text{Fe}^{3+} and n-factor =1= 1, so

N2=1×M2=0.6N_2 = 1 \times M_2 = 0.6

Substitute the given volumes:

(6x×103)×200=0.6×750(6x \times 10^{-3}) \times 200 = 0.6 \times 750 1200x×103=4501200x \times 10^{-3} = 450 1.2x=4501.2x = 450 x=4501.2=375x = \frac{450}{1.2} = 375

Therefore, the value of xx is 375375.

Using n-factor and normality

Given: Dichromate acts as oxidizing agent in acidic medium and Fe2+\text{Fe}^{2+} from Mohr's salt is oxidized to Fe3+\text{Fe}^{3+}.

Find: The value of xx in the molarity of potassium dichromate.

The relevant n-factors are:

  • Cr2O72Cr3+\text{Cr}_2\text{O}_7^{2-} \to \text{Cr}^{3+} gives n-factor =6= 6
  • Fe2+Fe3+\text{Fe}^{2+} \to \text{Fe}^{3+} gives n-factor =1= 1

Hence, normality of potassium dichromate solution is

N1=6×x×103N_1 = 6 \times x \times 10^{-3}

and normality of Mohr's salt solution is

N2=0.6N_2 = 0.6

Now apply

N1V1=N2V2N_1V_1 = N_2V_2

with V1=200V_1 = 200 and V2=750V_2 = 750:

(6x×103)(200)=(0.6)(750)(6x \times 10^{-3})(200) = (0.6)(750) 1200x×103=4501200x \times 10^{-3} = 450 1.2x=4501.2x = 450 x=375x = 375

Thus, the required value is 375375.

Common mistakes

  • Using molarity directly without converting to normality is incorrect here because the reaction is a redox titration. Use n-factor first, then apply N1V1=N2V2N_1V_1 = N_2V_2.

  • Taking the n-factor of K2Cr2O7\text{K}_2\text{Cr}_2\text{O}_7 as anything other than 66 is wrong in acidic medium. Each dichromate ion gains 66 electrons when reduced to Cr3+\text{Cr}^{3+}.

  • Assigning Mohr's salt an n-factor other than 11 is incorrect because only Fe2+Fe3+\text{Fe}^{2+} \to \text{Fe}^{3+} occurs here. Each iron(II) ion loses only one electron.

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