Lab exercise 10C Calibrating bomb Calorimeter

Before Molar specific enthalpies of reaction can be determined, a bomb calorimeter must be calibrated using primary standard of precisely known molar enthalpy. Complete the analysis of the investigation report.
Problem:
What is the heat capacity of the newly assembled oxygen bomb calorimeter?
Experimental design:
An oxygen calorimeter is assembled and several samples of the primary standard, benzoic acid are burned using a constant pressure of excess oxygen. The evidence that is collected determines the heat capacity of the calorimeter for the future experiments.
Evidence:
In the CRC Handbook of chemistry and physics, the molar enthalpy of combustion for benzoic acid is reported as
Hc= -3231 kJ/ mol
C6H5COOH

Calorimetric Evidence for the burning of Benzoic Acid

Mass of C6H5COOH (s) (g)
Trial 1: 1.024
Trial 2:1.043
Trial 3:1.035

Initial temperature (°C)

To determine the heat capacity of the newly assembled oxygen bomb calorimeter, the experimental design involves burning samples of a primary standard, benzoic acid, in the calorimeter. The heat capacity of the calorimeter can be determined by measuring the temperature change observed during the combustion of benzoic acid.

From the evidence provided, the mass of benzoic acid burned in each trial is given as follows:
Trial 1: 1.024 g
Trial 2: 1.043 g
Trial 3: 1.035 g

Before we can calculate the heat capacity, we need to determine the molar enthalpy of combustion for benzoic acid. The molar enthalpy of combustion, denoted as ΔHc, is given as -3231 kJ/mol for benzoic acid.

To calculate the heat capacity, we first need to calculate the heat evolved during the combustion of benzoic acid in each trial using the equation:

q = ΔHc * n

Where:
q = heat evolved (in Joules)
ΔHc = molar enthalpy of combustion (in kJ/mol)
n = moles of benzoic acid burned

To calculate the moles of benzoic acid burned in each trial, we can use the molar mass of benzoic acid, which is 122.12 g/mol.

Moles of benzoic acid burned in each trial can be calculated using the formula:

moles = mass / molar mass

Finally, we can calculate the heat capacity of the calorimeter by dividing the heat evolved by the temperature change observed in each trial. The formula is:

C = q / ΔT

Where:
C = heat capacity of the calorimeter (in J/°C)
q = heat evolved (in Joules)
ΔT = temperature change (in °C)

By performing these calculations for each trial, you can determine the heat capacity of the newly assembled oxygen bomb calorimeter.