A small sample of methane burns, producing co2 and water vapor. as the hot gas mixture expands, it releases 120.0 kj of heat and does 830.0 kj of work pushing against a piston. what is the total amount of energy released in this reaction

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06-04-2022
Chemistry

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A small sample of methane burns, producing co2 and water vapor. as the hot gas mixture expands, it releases 120.0 kj of heat and does 830.0 kj of work pushing against a piston. what is the total amount of energy released in this reaction

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dsdrajlin dsdrajlin · Answer 1 · 2022-04-15T05:59:22-04:00

A small sample of methane burns, releasing 120.0 kJ of heat and doing 830.0 kJ of work. The total energy released is -950.0 kJ.

What is energy?

Energy is a property that is transferred to a physical system, recognizable in the performance of work and in the form of heat and light.

A small sample of methane undergoes combustion. As the hot gas mixture expands, it releases energy (E).

It releases 120.0 kJ of heat. By convention, when heat is released, we assign it a negative sign. Thus, q = -120.0 kJ.
It does 830.0 kJ of work. By convention, when the system does work on the surroundings, we assign it a negative sign. Thus, w = -830.0 kJ.

The change in the energy is the sum of the heat released and the work done.

ΔE = q + w = -120.0 kJ + (-830.0 kJ) = -950.0 kJ

A small sample of methane burns, releasing 120.0 kJ of heat and doing 830.0 kJ of work. The total energy released is -950.0 kJ.

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