(Solved): Glycerol (also called glycerine), C3H8O3 (l), is a viscous, sweet-tasting liquid used in a ...

Glycerol (also called glycerine), ${\mathrm{C}}_3{\mathrm{H}}_8{\mathrm{O}}_3$ (l), is a viscous, sweet-tasting liquid used in a variety of food and personal care products. Under constant-volume conditions, the combustion of $1.000\mathrm{mol}$ of glycerol releases $1653\mathrm{kJ}$ of heat to the surroundings. A 2.830-g sample of glycerol is burned in a bomb calorimeter. The temperature of the calorimeter increases from 22.53 to $27.42^{?}\mathrm{C}$. Write a balanced equation for the combustion reaction, assuming the products are ${\mathrm{CO}}_2(\mathrm{g})$ and ${\mathrm{H}}_2\mathrm{O}(\mathrm{l})$. Express your answer as a chemical equation including phases. Part B What is the total heat capacity of the calorimeter? Express the total heat capacity in kilojoules per degree Celsius to four significant figures. Part C If the size of the glycerol sample had been $4.200\mathrm{g}$, what would the temperature change of the calorimeter have been? Express your answer in degrees Celsius to four significant figures.