An ideal gas is enclosed in a cylinder with a movable piston...

An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of $8000 \mathrm{g}$ and an area of $5.00 \mathrm{cm}^{2}$ and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of 0.200 mol of the gas is raised from $20.0^{\circ} \mathrm{C}$ to $300^{\circ} \mathrm{C} ?$

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Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) is a fundamental relation in thermodynamics that connects pressure, volume, temperature, and number of moles of a gas. It serves as the basis for understanding the behavior of gases under various conditions, and is instrumental in calculating changes in state when gases undergo heating or cooling.

Isobaric Process

An isobaric process is one in which the pressure remains constant throughout the transformation. This concept is critical when analyzing systems such as a gas within a piston, where maintaining constant pressure simplifies calculations of work done, as the work is directly proportional to the change in volume.

Thermodynamic Work

Thermodynamic work refers to the energy transferred when a system undergoes a volume change under the influence of an external pressure. In an isobaric process, the work done on or by the gas is calculated using the formula W = P?V, highlighting the relationship between pressure and volume change.

Temperature Conversion

Accurate calculations in thermodynamics require temperatures to be expressed in an absolute scale (Kelvin). Converting temperature from degrees Celsius to Kelvin is essential when applying equations like the ideal gas law, ensuring consistency and correctness in the computation of energy and work.

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