Answer:
The heat associated with the burning Mg is 24.76 kJ/g.
The heat associated with the burning Mg is 595.85 kJ/mol.
Explanation:
Heat capacity of bomb calorimeter = C = 3024 J/°C
Change in temperature of bomb calorimeter = ΔT=4.729°C
Heat gained by calorimeter = Q
[tex]Q=C\times \Delta T=3024 J/^oC\times 4.729^oC=14,300.496 J=14.300 kJ[/tex]
Mass of magnesium burnt = 0.5775 g
Moles of magnesium = [tex]\frac{0.5775 g}{24 g/mol}=0.0240 mol[/tex]
0.5775 grams of magnesium on burning produces 14.300 kJ.
Then 1 gram of magnesium will produce:
[tex]\frac{14.300 kJ}{0.5775 }=24.76 kJ[/tex]
The heat associated with the burning Mg is 24.76 kJ/g.
0.0240 moles of magnesium on burning produces 14.300 kJ.
Then 1 molof magnesium will produce:
[tex]\frac{14.300 kJ}{0.0240 }=595.85 kJ[/tex]
The heat associated with the burning Mg is 595.85 kJ/mol.