The combustion of titanium with oxygen produces titanium dioxide.....?

Question

The combustion of titanium with oxygen produces titanium dioxide:

Ti(s) +O2(g) yields TiO2 (s)

When 0.071g of titanium is combusted in a bomb calorimeter, the temperature of the calorimeter increases from 25.00 degrees C to 53.80 degrees C. In a separate experiment, the heat capacity of the calorimeter is measured to be 9.98KJ/K. The heat of the reaction for the combustion of a mole of Ti in this calorimeter is....

Answer 1

[53.80-25.00 C] x 9.98kj/k x [47.9g/mol]/0.071g =

193,900kj/mol or 193.9 x 10^6j/mol.

Note: because we are only interested in difference in temperature we don't need to convert to K.

The temperature rise x the bomb heat capacity is the amount of heat given off by just 0.071 g of Ti; the last term gives the factor to get the value for a whole mole of Ti.