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Given the change in the temperature from adding 3.00 grams of lithium chloride to 100.00 mL of water, calculate the enthalpy of solution for lithium chloride in units of kJ/mol. the change in temp was 6.09

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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