If the KH values for Ar(g),CO2(g),HCHO(g) and CH4(g) respectively are 40.39,1.67, 1.83×10-5 and 0.413, then identify the correct increasing order of their solubilities.

AP EAMCET · Chemistry · Solutions

If the $K_{H}$ values for ${Ar}_{(g)}, {CO}_{2 (g)}, {HCHO}_{(g)}$ and ${CH}_{4 (g)}$ respectively are $40.39, 1.67$ , $1.83 \times 10^{- 5}$ and $0.413$ , then identify the correct increasing order of their solubilities.

A $HCHO < {CH}_{4} < {CO}_{2} < Ar$
B $HCHO < {CO}_{2} < {CH}_{4} < Ar$
C $Ar < {CO}_{2} < HCHO < {CH}_{4}$
D $Ar < {CO}_{2} < {CH}_{4} < HCHO$

Verified Solution

Answer & Solution

Correct Answer

(D) $Ar < {CO}_{2} < {CH}_{4} < HCHO$

Step-by-step Solution

Detailed explanation

According to the Henry's law, the solubilities is inversely proportional to the hydration constant KH. So, higher the solubility, lower the KH value. So, the formaldehyde has the lowest KH value. So, it has the highest value of solubility. The order of solubility is…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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