Final answer:
The correct answer is b) ∆ U < 0, W = 0, which indicates that the change in internal energy is negative (exothermic reaction) and no work is done (constant volume) in a bomb calorimeter.
Step-by-step explanation:
From the options provided, the correct one with respect to a Bomb calorimeter is b) ∆ U < 0, W = 0. In a bomb calorimeter, the volume remains constant during the reaction, which means no work is done on or by the system (W = 0). Since a bomb calorimeter typically measures the heat of combustion, the reaction is exothermic, and the internal energy change (∆U) is negative (∆U < 0). Therefore, according to the first law of thermodynamics (∆U = Q - W), with W being zero, the change in internal energy (∆U) is equal to the heat (Q), which is negative for exothermic reactions.