When 0.187 g of benzene, C6H6, is burned in a bomb calorimeter the temperature rises by 3.45 °C. If the heat capacity of the calorimeter is 2.46 kJ>°C, calculate the combustion energy 1∆E2 for benzene in units of kJ/g and kJ/mol.

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First, calculate the heat absorbed by the calorimeter using the formula q = C * ΔT, where q is the heat absorbed, C is the heat capacity of the calorimeter, and ΔT is the change in temperature. In this case, C = 2.46 kJ/°C and ΔT = 3.45 °C.

Next, remember that the heat absorbed by the calorimeter is equal to the heat released by the combustion of benzene. Therefore, the combustion energy of benzene is equal to the heat absorbed by the calorimeter.

Then, to find the combustion energy per gram, divide the combustion energy by the mass of benzene burned. In this case, the mass of benzene burned is 0.187 g.

To find the combustion energy per mole, first calculate the molar mass of benzene. The molar mass of benzene, C6H6, is approximately 78 g/mol.

Finally, divide the combustion energy by the number of moles of benzene burned to find the combustion energy per mole. The number of moles of benzene burned can be found by dividing the mass of benzene burned by the molar mass of benzene.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Calorimetry

Calorimetry is the science of measuring the heat of chemical reactions or physical changes. In this context, a bomb calorimeter is used to measure the heat released during the combustion of benzene. The temperature change observed in the calorimeter allows for the calculation of the energy released, which is essential for determining the combustion energy of the substance.

Heat Capacity

Heat capacity is the amount of heat required to change the temperature of a substance by one degree Celsius. In this problem, the heat capacity of the calorimeter is given as 2.46 kJ/°C, which indicates how much energy is absorbed by the calorimeter for each degree of temperature increase. This value is crucial for calculating the total heat released during the combustion of benzene.

Combustion Energy

Combustion energy, often expressed as ΔE, refers to the energy released when a substance undergoes complete combustion. It can be calculated in terms of kJ/g or kJ/mol, providing insight into the energy content of the fuel. In this case, the combustion energy of benzene can be determined by dividing the total heat released by the mass of benzene burned, allowing for comparisons with other fuels.

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