When a solid dissolves in water, heat may be evolved or absorbed. The heat of dissolution (dissolving) can be determined using a coffee cup calorimeter. In the laboratory a general chemistry student finds that when 7.63 g of K2SO4(s) are dissolved in 107.20 g of water, the temperature of the solution drops from 25.27 to 22.68 °C. The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.54 J/°C. Based on the student's observation, calculate the enthalpy of dissolution of K2SO4(s) in kJ/mol. Assume the specific heat of the solution is equal to the specific heat of water. ΔHdissolution =??  kJ/mol

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Chapter6: Thermochemistry
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When a solid dissolves in water, heat may be evolved or absorbed. The heat of dissolution (dissolving) can be determined using a coffee cup calorimeter.

In the laboratory a general chemistry student finds that when 7.63 g of K2SO4(s) are dissolved in 107.20 g of water, the temperature of the solution drops from 25.27 to 22.68 °C.

The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was determined in a separate experiment to be 1.54 J/°C.

Based on the student's observation, calculate the enthalpy of dissolution of K2SO4(s) in kJ/mol.

Assume the specific heat of the solution is equal to the specific heat of water.

ΔHdissolution =??  kJ/mol
Expert Solution
Step 1

Mass of water = 107.20g

Mass of K2SO4 = 7.63

Molar mass of K2SO4 = 174.27 g/mol

Mass of solution = (7.63 + 107.20) g

                           = 114.83 g

Moles of K2SO4 =MassMolar mass=7.63 g174.27 g/mol=0.044 moles

Step 2

Heat released -

Heat released = - [(Mass of solution ×specific heat ×temperature difference) + (calorimeter costant ×temperature diffrenece)]=- 107.20 g ×4.184 J/gC×22.68 -25.27C +1.54 J/C ×22.68 -25.27C =1165.67 J

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