When a 7.00 g7.00 g sample of KBrKBr is dissolved in water in a calorimeter that has a total heat capacity of 2.72 kJ⋅K−1,2.72 kJ⋅K−1, the temperature decreases by 0.430 K.0.430 K. Calculate the molar heat of solution of KBr.

Respuesta :

Answer : The molar heat of solution of KBr is 19.9 kJ/mol

Explanation :

Mass of KBr = 7.00 g

Molar mass of KBr = 119 g/mole

Heat capacity = 2.72 kJ/K

Change in temperature = 0.430 K

First we have to calculate the moles of KBr.

[tex]\text{ Moles of }KBr=\frac{\text{ Mass of }KBr}{\text{ Molar mass of }KBr}=\frac{7.00g}{119g/mole}=0.0588moles[/tex]

Now we have to calculate the heat of the reaction.

[tex]q=c\times \Delta T[/tex]

where,

q = amount of heat = ?

[tex]c[/tex] = heat capacity = [tex]2.72kJ/K[/tex]

[tex]\Delta T[/tex] = change in temperature = 0.430 K

Now put all the given values in the above formula, we get:

[tex]q=2.72kJ/K\times 0.430K[/tex]

[tex]q=1.17kJ[/tex]

Now we have to calculate the molar heat of solution of KBr.

[tex]\text{Molar heat of solution of }KBr=\frac{q}{n}[/tex]

where,

n = number of moles of KBr

[tex]\text{Molar heat of solution of }KBr=\frac{1.17kJ}{0.0588moles}=19.9kJ/mol[/tex]

Therefore, the molar heat of solution of KBr is 19.9 kJ/mol