🛠️ JEE🧪 Chemistry

Consider the given data: (a) \(\mathrm{HCl}(\mathrm{g})+10{\mathrm{H}}_{2}\mathrm{O}(\mathrm{l})\to \mathrm{HCl}.10{\mat…

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Consider the given data:
(a) \(\mathrm{HCl}(\mathrm{g})+10{\mathrm{H}}_{2}\mathrm{O}(\mathrm{l})\to \mathrm{HCl}.10{\mathrm{H}}_{2}\mathrm{O}\\ \mathrm{ΔH}=-69.01\mathrm{kJ}{\mathrm{mol}}^{-1}\)
(b) \(\mathrm{HCl}(\mathrm{g})+40{\mathrm{H}}_{2}\mathrm{O}(\mathrm{l})\to \mathrm{HCl}.40{\mathrm{H}}_{2}\mathrm{O}\\ \mathrm{ΔH}=-72.79\mathrm{kJ}{\mathrm{mol}}^{-1}\)
Choose the correct statement :

[JEE Main 2025, 4 Apr (Shift 2)]

a

Dissolution of gas in water is an endothermic process

b

The heat of solution depends on the amount of solvent.

c

The heat of dilution for the \(\mathrm{HCl}\left(\mathrm{HCl}\cdot 10{\mathrm{H}}_{2}\mathrm{O}\right.\) to \(\mathrm{HCl}.40{\mathrm{H}}_{2}\mathrm{O}\) ) is \(3.78\mathrm{kJ}{\mathrm{mol}}^{-1}\).

d

The heat of formation of HCl solution is represented by both (a) and (b)

✓ Correct answer: b)

The heat of solution depends on the amount of solvent.

Explanation

ΔH < 0 ⇒ dissolution of HCl(g) is exothermic.

HCl(g) + 10H₂O(l) → HCl·10\({\mathrm{H}}_{2}\mathrm{O}\)
ΔH₁ = −69.01 kJ mol⁻¹

HCl(g) + 40\({\mathrm{H}}_{2}\mathrm{O}\)(l) → HCl·40\({\mathrm{H}}_{2}\mathrm{O}\)
ΔH₂ = −72.79 kJ mol⁻¹

Heat of dilution
= ΔH₂ − ΔH₁
= −72.79 − (−69.01)
= −3.78 kJ mol⁻¹

⇒ Heat of solution depends on amount of solvent.
⇒ Option (3) is incorrect.

For heat of formation, reactants must be in elemental state ⇒ Option (4) is incorrect.

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