Be sure to answer all parts. 23.A 0.2075g sample of solid magnesium is burned in

Question

Be sure to answer all parts.

23.A 0.2075g sample of solid magnesium is burned in a constant-volume bomb calorimeter that has a heat capacity of 3024 J/°C. The temperature increases by 1.700°C.

(a) Calculate the heat associated with the burning Mg in kJ/g.

kJ/g

(b) Calculate the heat associated with the burning of Mg in kJ/mol.

kJ/mol Be sure to answer all parts.

23.A 0.2075g sample of solid magnesium is burned in a constant-volume bomb calorimeter that has a heat capacity of 3024 J/°C. The temperature increases by 1.700°C.

(a) Calculate the heat associated with the burning Mg in kJ/g.

kJ/g

(b) Calculate the heat associated with the burning of Mg in kJ/mol.

kJ/mol

Explanation / Answer

a)
Heat associated,
Q = C*delta T
   = 3024 J/oC * 1.700 oC
   = 5140.8 J
    = 5.1408 KJ

heat associated per g = 5.1408 KJ / 0.2075 g
   = 24.77 KJ/g
Answer: 24.77 KJ/g

b)
Q = 5.1408 KJ

number of mol = mass of Mg / Molar mass of Mg
= 0.2075 g/ 24.305 g/mol
= 8.537*10^-3 mol

heat associated per mol = (5.1408 KJ)/(8.537*10^-3 mol)
    = 602.2 KJ/mol

Answer: 602.2 KJ/mol

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