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Heat of Solution of KCl Using Hydration and Lattice Energy

Learn how to calculate the heat of solution of KCl using hydration energies of ions and lattice energy. This concept is important for solving...

 

❓ Question

The hydration energies of K+\text{K}^+ and Cl\text{Cl}^- are x-x and y kJ/mol-y~\text{kJ/mol} respectively.
If the lattice energy of KCl is z kJ/mol-z~\text{kJ/mol}, then what is the heat of solution of KCl?


đź–Ľ️ Question Image

Thermodynamics Trick — Calculate Enthalpy of Solution Easily 🔥


✍️ Short Explanation

This problem is based on:

👉 Enthalpy of solution
👉 Lattice energy
👉 Hydration energy.

Main idea:

Heat of solution:

ΔHsol=Lattice dissociation energy+Hydration energies\boxed{ \Delta H_{\text{sol}} = \text{Lattice dissociation energy} + \text{Hydration energies} }

Heat of Solution of KCl Using Hydration and Lattice Energy

đź”· Step 1 — Understand Sign Convention đź’Ż

Given:

Hydration energy of:

K+=xK^+=-x
Cl=yCl^-=-y


Lattice energy of KCl:

z-z

This corresponds to lattice formation.

For dissolving crystal, we need lattice dissociation energy:

+z+z

đź”· Step 2 — Write Enthalpy of Solution

ΔHsol=(+z)+(x)+(y)\Delta H_{\text{sol}} = (+z)+(-x)+(-y)
=zxy= z-x-y
z(x+y)\boxed{ z-(x+y) }

đź”· Step 3 — Physical Meaning

Solution process has two parts:

Breaking crystal lattice

✔ Requires energy

+z+z

Hydration of ions

✔ Releases energy

x, y-x,\ -y

đź”· Step 4 — JEE Trap Alert 🚨

❌ Lattice energy sign directly use kar lena

❌ Formation energy and dissociation energy confuse kar dena

Remember:

If lattice formation energy is:

z-z

then lattice breaking energy is:

+z+z

✅ Final Answer

z(x+y)\boxed{ z-(x+y) }

(Option 2)

Thermodynamics Trick — Calculate Enthalpy of Solution Easily 🔥


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