How much potassium nitrate has to dissolve in water to absorb 105 kj of heat? there are 4.184 kj/kcal. also note the answer is to be reported in kg?

Respuesta :

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

Hydration energy of KNO3 = -155.5 kcal/mole

Heat of solution is the amount of heat absorbed by water when 1 mole of KNO3 is dissolved in it

Heat of solution = Hydration energy - Lattice energy

                           = -155.5 -(-163.8) = 8.3 kcal/mol

1 kcal/mol = 4.184 kJ/mole

Therefore, 8.3 kcal/mole = 4.184 * 8.3 = 34.73 kJ/mol

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

The given 105 kJ of heat would correspond to : 105/34.73 = 3.023 moles of KNO3

Molar mass of KNO3 = 101.1 g/mole

Mass of KNO3 = Molar mass * moles

                       = 101.1 * 3.023 = 305.63 g = 0.3056 kg    

The study of chemicals and bonds is called chemistry. There are different types of elements and these are metals and nonmetals.

The correct answer is -0.3056

What is absorption?

  • Absorption is a chemical or physical phenomenon in which the molecules, atoms, and ions of the substance get absorbent into the bulk phase (gas, liquid or solid) of the material in which it is taken up.
  • Absorption is the condition in which something gets mixed or absorbed completely in another substance.

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

ydration energy of KNO3 = -155.5 kcal/mole

The heat of solution is the amount of heat absorbed by the water when 1 mole of KNO3 is dissolved in it

The heat of solution = Hydration energy - Lattice energy

= [tex]-155.5 -(-163.8) = 8.3 kcal/mol[/tex]

1 kcal/mol = 4.184 kJ/mole

Therefore, 8.3 kcal/mole = [tex]4.184 * 8.3 = 34.73 kJ/mol[/tex]

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

The given 105 kJ of heat would correspond to: [tex]\frac{105}{34.73} = 3.023[/tex] moles of KNO3

Molar mass of KNO3 = 101.1 g/mole

Mass of KNO3 = [tex]Molar\ mass * moles[/tex]

=[tex]101.1 * 3.023 = 305.63 g\\ = 0.3056 kg[/tex]  

Hence, the correct answer is 0.3056.

For more information about the absorption, refer to the link:-

https://brainly.com/question/9864045