Calculate the energy change for the reaction K(g) + Br(g) → K +(g) + Br – (g) given the following ionization energy (IE) and electron affinity (EA) values (hint: should one be negative for the reaction?) IE EA K: 419 kJ/mol 48 kJ/mol Br: 1140 kJ/mol 324 kJ/mol

Respuesta :

Answer :  The energy change for the reaction is CsCl is, 95 KJ/mole

Explanation :  

The steps involved in the formation of [tex]KBr[/tex] :

(1) Conversion of gaseous potassium atoms into gaseous potassium ions.

[tex]K(g)\overset{\Delta H_I}\rightarrow K^{+1}(g)+1e^-[/tex]

[tex]\Delta H_I[/tex] = ionization energy of potassium = 419 kJ/mol

(2) Conversion of gaseous bromine atoms into gaseous bromine ions.

[tex]Br(g)+1e^-\overset{\Delta H_E}\rightarrow Br^-(g)[/tex]

[tex]\Delta H_E[/tex] = electron affinity energy of bromine = -324 kJ/mol

The overall reaction will be:

[tex]K(g)+Br(g)\rightarrow K^+(g)+Br^-(g)[/tex]

To calculate the overall energy change the expression used is:

[tex]\Delta H=\Delta H_I+\Delta H_E[/tex]

Now put all the given values in this equation, we get:

[tex]\Delta H=419KJ/mole+(-324KJ/mole)[/tex]

[tex]\Delta H=95KJ/mole[/tex]

Therefore, the energy change for the reaction is CsCl is, 95 KJ/mole