The salt magnesium chloride is soluble in water. When 0.620 g MgCl2 is dissolved in 112.00 g water, the temperature of the solution increases from 25.00 °C to 27.33 °C. Based on this observation, calculate the dissolution enthalpy, ΔdissH, of MgCl2. Assume that the specific heat capacity of the solution is 4.184 J g-1 °C-1 and that the energy transfer to the calorimeter is negligible. ΔdissH = kJ/mol

Respuesta :

Answer:

The enthalpy of the dissociation of the magnesium chloride is -168.2 kJ/mol.

Explanation:

Mass of magnesium chloride = 0.620 g

Moles of magnesium chloride = [tex]\frac{0.620 g}{95 g/mol}=0.006526 mol[/tex]

Mass of water = 112.00 g

Mass of solution, m = 0.62 g + 112 g =112.62 g

Heat capacity of the solution = c = [tex]4.184J/g^oC[/tex]

Initial temperature of the solution = [tex]T_1=25.00^oC[/tex]

Final temperature of the solution = [tex]T_2=27.33^oC[/tex]

Heat gained by solution = Q

[tex]Q=m\times c\times (T_2-T_1)[/tex]

[tex]Q=112.620 g\times 4.184J/g^oC\times (27.33^oC-25.00^oC)[/tex]

Q = 1,097.90 J =1.09790 kJ ≈ 1.098 kJ

Enthalpy of the dissociation magnesium chloride :

[tex]\Delta H_{diss}=-\frac{Q}{n}=\frac{-1.098 kJ}{0.006526 mol}=-168.2 kJ/mol[/tex]

The enthalpy of the dissociation of the magnesium chloride is -168.2 kJ/mol.