Acid radical analysis

Chemistry Level 3

A water soluble salt, when treated with diluted H 2 SO 4 \text{H}_{2} \text{SO}_{4} , gives a colorless gas that turns lime water milky. On passing this gas in excess, the milkyness disappears. On treating the gas with acidic potassium dichromate, the color of potassium dichromate turns green. Find the molecular mass of the anionic part of the salt.


The answer is 80.

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2 solutions

Anish Puthuraya
Jan 28, 2014

Only 2 gases turn lime water milky, C O 2 CO_2 and S O 2 SO_2

Now,
C O 2 CO_2 is pretty stable in itself, as carbon has achieved its maximum valency, and would not undergo any oxidation. But, S O 2 SO_2 on the other hand, is capable of oxidizing and will thus reduce Potassium Dichromate as following,

H + + S O 2 + C r 2 O 7 2 S O 4 2 + C r 3 + H^{+} + SO_2 + Cr_2O_7^{2-} \to SO_4^{2-} + Cr^{3+} (Green) + H 2 O + H_2O

Thus,
Our required gas is S O 2 SO_2

Now,
S O 3 2 + H 2 S O 4 H 2 O + S O 2 + S O 4 2 SO_3^{2-} + H_2SO_4 \to H_2O + \boxed{SO_2} + SO_4^{2-}

Hence, the anionic part of the water soluble salt is S O 3 2 SO_3^{2-} , whose molecular mass is 32 + 16 × 3 = 80 g 32+16\times 3 = \boxed{80g}

Nice solution.

jatin yadav - 7 years, 4 months ago

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I have edited my previous question. You can now check your answer

Anish Puthuraya - 7 years, 4 months ago

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I accidently put wrong answer and all my three chances have gone!

jatin yadav - 7 years, 4 months ago

I would like to comment that the "it" in the question should have been more clear. The "it" could refer to the gas, or the salt. The English was extremely confusing. Please do take note and be clearer in the future :)

Tan Gian Yion - 7 years, 4 months ago

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I am sorry, it has been edited now. Thanks for your feedback.

jatin yadav - 7 years, 4 months ago

It could also be Br- ion. All the above conditions are satisfied. It has atomic mass 80 too. That is the one I was considering when I entered the answer correctly.

Rohan Rao - 7 years, 4 months ago

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B r 2 Br_2 doesn't turn Lime water milky.

Anish Puthuraya - 7 years, 4 months ago

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It releases SO2 gas when conc sulphuric acid is added since it can reduce SO4(2-) to SO2 gas. The rest is same as in your solution.

Rohan Rao - 7 years, 4 months ago

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@Rohan Rao You dont understand, B r 2 Br_2 doesn't turn lime water milky (it is one of the conditions), in fact, it disproportionates when it is passed through C a ( O H ) 2 Ca(OH)_2 .

B r 2 + C a ( O H ) 2 C a B r 2 + C a ( B r O 3 ) 2 + H 2 O Br_2 + Ca(OH)_2 \to CaBr_2 + Ca(BrO_3)_2 + H_2O

Anish Puthuraya - 7 years, 4 months ago

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@Anish Puthuraya What I meant is that along with Br2, there is a side product of SO2 that is formed, so it could turn the limewater milky.

Rohan Rao - 7 years, 4 months ago

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@Rohan Rao That is correct, indeed. But since there are 2 gases liberated, it might create some confusion...though you are not wrong.

Anish Puthuraya - 7 years, 4 months ago

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@Anish Puthuraya Yep, and there is definitely nothing contradicting SO3(2-) ion. Thanks for the reaction though, I didn't know that one would happen...never tried passing bromine through lime water...;)

Rohan Rao - 7 years, 4 months ago

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@Rohan Rao That reaction is, in fact, true for any halogen and any strong base, except F 2 F_2 . The general reaction is :

For Hot and Conc. base,
X 2 + O H X + X O 3 + H 2 O X_2 + OH^- \to X^- + XO_3^- + H_2O

and

For Cold and Dil. base,
X 2 + O H X + O X + H 2 O X_2 + OH^- \to X^- + OX^- + H_2O

Maybe, I will post a note on it someday.

Anish Puthuraya - 7 years, 4 months ago

@Rohan Rao I am sorry if I am intruding but in the question t is mentioned that dilute sulphuric acid is added.

Soham Dibyachintan - 7 years, 4 months ago

What about a hydrogen sulphate radical? It will still give sulphur dioxide.

Bala Tweakbytes - 7 years, 4 months ago

From tests given in the question that the gas evolved turns lime water milky and it turns acidic potassium dichromate green, we can conclude that the gas evolved is sulphur dioxide i.e. S O 2 SO_{2} Now, we know that when a sulphite is treated with d i l . H 2 S O 4 dil. H_{2}SO_{4} sulphur dioxide is evolved. Therefore the anion in the given salt is S O 3 2 SO_3^{2-} As we know the atomic mass of sulphur is 32 32 and the atomic mass of oxygen is 16 16 Thus we need to find the molecular mass of this ion which is = 1 × 32 + 3 × 16 =1 \times 32 + 3 \times 16 = 32 + 48 =32+48 = 80 =\boxed{80}

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