(©2007, François G. Amar, All rights reserved)
Here is a schematic drawing of a bomb calorimeter:

The "Bomb" inside is a steel vessel capable of withstanding the large pressure of gas inside as well as the explosive force of the burning reagents inside.
This is a Constant Volume calorimeter since the reaction occurs within a rigid vessel (the bomb) whose volume cannot change.
The heat capacity of the calorimeter is equal to the sum of the heat capacity of the water + the heat capacity of the dry calorimeter (bomb, stirrer, insulated container, etc):
Ccalorimeter = Cdry parts + CH2OIf we know
Ccalorimeter and measure
T, we can obtain the heat change
in the calorimeter.
qcalorimeter = Ccalorimeter x
T
but
Erxn = qrxn = - qcalorimeter= - Ccalorimeter x
T
Example: if a reaction performed in a bomb calorimeter is exothermic then the
heat absorbed by the calorimeter assembly, qcalorimeter is positive (temperature of calorimeter rises)
But this is an exothermic reaction (
Erxn<0) in which no work is done so qrxn = - qcalorimeter.