Calculate the work, in joules, done by a gas as it expands...

Calculate the work, in joules, done by a gas as it expands at constant temperature from a volume of $3.00 \mathrm{~L}$ and a pressure of 5.00 atm to a volume of 8.00 L. The external pressure against which the gas expands is $1.00 \mathrm{~atm} .(1 \mathrm{~atm}=101,325 \mathrm{~Pa})$

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Key Concepts

Thermodynamic Work

Thermodynamic work in the context of a gas expansion refers to the energy transferred as the gas does work on its surroundings when its volume changes. It is typically calculated as the integral of pressure with respect to volume. When the process occurs under constant external pressure, the work simplifies to the product of the pressure and the change in volume.

Pressure-Volume Work

Pressure-volume work represents the mechanical work associated with the expansion or compression of a gas. In cases where the expansion is done against a constant external pressure, the work done by the gas can be directly computed as the external pressure multiplied by the change in volume. The work is negative if it is done by the system, following the conventional sign convention in thermodynamics.

Unit Conversions

Proper unit conversions are critical in thermodynamic calculations to ensure consistency in the SI system. This often involves converting pressure from atmospheres to pascals and volume from liters to cubic meters to accurately compute work in joules.

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