JEE Main 2023 · 1 February · evening · Single correct · +4 / −1
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Cu²⁺ in water is more stable than Cu⁺.
Reason (R) : Enthalpy of hydration for Cu²⁺ is much less than that of Cu⁺.
In the light of the above statements, choose the correct answer from the options given below :
- (a) (A) is correct but (R) is not correct
- (b) Both (A) and (R) are correct but (R) is not the correct explanation of (A)
- (c) (A) is not correct but (R) is correct
- (d) Both (A) and (R) are correct and (R) is the correct explanation of (A)
Answer and solution
Answer (a) (A) is correct but (R) is not correct
Solution
Chemistry ma’am · 4 steps
Hydration enthalpy is what saves Cu²⁺, so check whether R gives it the right size.
- Check the assertion. In water, Cu⁺ is unstable and disproportionates: 2Cu⁺ → Cu²⁺ + Cu. So Cu²⁺ is the stable ion in aqueous solution, and (A) is correct.
- Why it is stable. Removing a second electron from Cu costs a lot of energy (second ionisation enthalpy about 1958 kJ mol⁻¹). The small, doubly charged Cu²⁺ ion attracts water molecules much more strongly than Cu⁺ does. Its hydration enthalpy is therefore far more negative, and that release of energy more than pays back the ionisation cost.
Ion Charge and size Δ_(hyd)H (approx.) Cu⁺ +1, larger -593 kJ mol⁻¹ Cu²⁺ +2, smaller -2100 kJ mol⁻¹, much more negative - Check the reason. R says the hydration enthalpy of Cu²⁺ is much less than that of Cu⁺. In fact it is much greater in magnitude, about 3.5 times more energy released. So (R) is not correct.
- So. (A) is correct but (R) is not correct, which is option (a).
The idea to keep. A higher charge on a small ion means a much more negative hydration enthalpy. That extra hydration energy is why Cu²⁺ wins over Cu⁺ in water, despite the costly second ionisation.
Answer from the NTA final answer key. Solution by PrepWiser.