The heat required to raise the temperature of m (kg) of a liquid from T₁ to T₂ at constant pressure is in high school and in first-year college physics courses, the formula is usually given as

(a) What assumption about C_p is required to go from Equation 1 to Equation 2?

(b) The heat capacity (C_p) of liquid n-hexane is measured in a bomb calorimeter. A small reaction flask (the bomb) is placed in a well-insulated vessel containing 2.00 L of liquid n—C₆H₁₄ at T = 300 K. A combustion reaction known to release 16.73 U of heat takes place in the bomb, and the subsequent temperature rise of the system Contents is measured and found to be 3.10 K. In a separate experiment, it is found that 6.14 kJ of heat is required to raise the temperature of everything in the system except the hexane by 3.10 K. Use these data to estimate C_p [kJ/(mol ∙ K)J for liquid n-hexane at T 300 K, assuming that the condition required for the validity of Equation 2 is satisfied. Compare your result with a tabulated value.