Final answer:
To calculate the heat of reaction for the combustion of titanium in a bomb calorimeter, use the formula q = C × ΔT. Convert the mass of titanium to moles, and use the heat capacity and temperature change to find q, and then divide by the number of moles to get the heat of reaction per mole.
Step-by-step explanation:
The student is asking how to calculate the heat of reaction for the combustion of titanium (Ti) in a bomb calorimeter. The reaction given is Ti(s) + O2(g) → TiO2(s), and the student has provided the mass of titanium combusted, the initial and final temperatures of the calorimeter, and the heat capacity of the calorimeter.
To find the heat of reaction (q) for the combustion, the following formula is used: q = C × ΔT, where C is the heat capacity of the calorimeter and ΔT is the change in temperature. In this case, C=9.84 kJ/K and ΔT is the final temperature minus the initial temperature (68.10°C - 25.00°C = 43.10°C). By converting ΔT to Kelvin and applying the formula, the heat of the reaction absorbed by the calorimeter is found.
Next, the quantity of heat per mole of titanium is calculated by dividing the heat absorbed by the number of moles of titanium reacted (1.310 g of Ti). The molar mass of titanium (47.867 g/mol) is used to convert the mass to moles. Finally, since the reaction is exothermic, the sign of q will be negative.