Potassium nitrate has a lattice energy of - 163.8 kcal/mol and a heat of hydration of - 155.5 kcal/mol. How much potassium nitrate has to dissolve in water to absorb 113 kJ of heat?

0.328 kg

Explanation:

Given dа ta:

Lattice energy of Potassium nitrate (KNO3) = - 163.8 kcal/mol

Heat of hydration of KNO3 = - 155.5 kcal/mol

Heat to absorb by KNO3 = 113kJ

To find:

Mass of KNO3 to dissolve in water = ?

Solution:

Heat of solution = Hydration energy - Lattice energy

= - 155.5 - (-163.8)

= 8.3 kcal/mol

We already know,

1 kcal/mol = 4.184 kJ/mole

Therefore,

= 4.184 kJ/mol x 8.3 kcal/mol

= 34.73 kJ/mol

Now, 34.73 kJ of heat is absorbed when 1 mole of KNO3 is dissolved in water.

For 113 kJ of heat would be

= 113/34.73

= 3.253 moles of KNO3

Molar mass of KNO3 = 101.1 g/mole

Mass of KNO3 = Molar mass x moles

= 101.1 g/mole x 3.253

= 328.87 g

= 0.328 kg

328.8 g potassium nitrate has to dissolve in water to absorb 113 kJ of heat.