The combustion of 0.1619 g benzoic acid increases the temperature of a bomb calorimeter by 2.77°C. Calculate the heat capacity of this calorimeter. (The energy released by combustion of benzoic acid is 26.42 kJ/g.)
kJ/°C
A 0.1510 g sample of vanillin (C8H8O3) is then burned in the same calorimeter, and the temperature increases by 3.25°C. What is the energy of combustion per gram of vanillin?
kJ/g
What is the energy of combustuin per mole of vanillin?
kJ/mol
qcal x delta T = 0.1619g*26.43 kJ/g
Solve for qcal.
qvanillin = qcal x delta T
qvanillin/0.1510 = ?kJ/g
To calculate the heat capacity of the calorimeter, we can use the formula:
Heat Capacity = q / deltaT
Where:
q is the heat released or absorbed during the process
deltaT is the change in temperature
For the first part of the question, we are given the mass of benzoic acid (0.1619 g), the temperature change (2.77°C), and the energy released by combustion (26.42 kJ/g).
First, let's calculate the heat released during the combustion of benzoic acid:
q = mass * energy released per gram
q = 0.1619 g * 26.42 kJ/g
Now, we can calculate the heat capacity of the calorimeter:
Heat Capacity = q / deltaT
Heat Capacity = (0.1619 g * 26.42 kJ/g) / 2.77°C
The result will be in kJ/°C.
For the second part of the question, we are given the mass of vanillin (0.1510 g) and the temperature change (3.25°C). We need to calculate the energy of combustion per gram of vanillin.
Using the same formula:
q = mass * energy released per gram
q = 0.1510 g * energy released per gram
The result will be in kJ/gram.
For the third part, we will use the molar mass of vanillin to convert the energy of combustion from kJ/gram to kJ/mol. The molar mass of vanillin (C8H8O3) can be calculated by adding the atomic masses of carbon, hydrogen, and oxygen.
Finally, we can convert the energy per gram to energy per mole using the molar mass:
Energy per mole = Energy per gram * (1 mole / molar mass)
The result will be in kJ/mol.