Respuesta :
Answer:
The enthalpy of the solution is -35.9 kJ/mol
Explanation:
Step 1: Data given
Mass of lithiumchloride = 3.00 grams
Volume of water = 100 mL
Change in temperature = 6.09 °C
Step 2: Calculate mass of water
Mass of water = 1g/mL * 100 mL = 100 grams
Step 3: Calculate heat
q = m*c*ΔT
with m = the mass of water = 100 grams
with c = the heat capacity = 4.184 J/g°C
with ΔT = the chgange in temperature = 6.09 °C
q = 100 grams * 4.184 J/g°C * 6.09 °C
q =2548.1 J
Step 4: Calculate moles lithiumchloride
Moles LiCl = mass LiCl / Molar mass LiCl
Moles LiCl = 3 grams / 42.394 g/mol
Moles LiCl = 0.071 moles
Step 5: Calculate enthalpy of solution
ΔH = 2548.1 J /0.071 moles
ΔH = 35888.7 J/mol = 35.9 kJ/mol (negative because it's exothermic)
The enthalpy of the solution is -35.9 kJ/mol
The enthalpy of solution is -37.4 kJ/mol.
What is enthalpy?
This is the energy evolved or absorbed in a reaction. We know from the question that;
Mass of water = 100 g
Mass of LiCl = 3 g
Total mass present = 103 g
Number of moles of LiCl = 3 g/42 g/mol = 0.07 moles
Temperature change = 6.09°C
Given that;
q = mcdT
q = 103 g * 4.18 J/g/°C * 6.09°C =2.62 kJ
Enthalpt of solution in kJ/mol = -(2.62 kJ/ 0.07 moles) = -37.4 kJ/mol
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