The heating value of a fuel oil is to be measured in a constant-volume bomb calorimeter. The bomb is charged with oxygen and 0:00215 lb_m of the fuel and is then sealed and immersed in an insulated container of water. The initial temperature of the system is 77.00°F. The fuel–oxygen mixture is ignited, and the fuel is completely consumed. The combustion products are CO₂(g) and H₂O(v). The final calorimeter temperature is 89.06°F. The mass of the calorimeter, including the bomb and its contents, is 4:62 lb_m, and the average heat capacity of the system (C_v) is 0:900 Btu/(lb_m ∙ °F).

(a) Calculate ΔÛ°_c (Btu/lb_m oil) for the combustion of the fuel oil at 77°F. Briefly explain your calculation.

(b) What more would you need to know to determine the higher heating value of the oil?