An ideal gas contained in a piston-cylinder device undergoes...

An ideal gas contained in a piston-cylinder device undergoes an isothermal compression process which begins with an initial pressure and volume of $100 \mathrm{kPa}$ and $0.6 \mathrm{~m}^{3}$, respectively. During the process there is a heat transfer of $60 \mathrm{~kJ}$ from the ideal gas to the surroundings. Determine the volume and pressure at the end of the process.

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Key Concepts

Work in Isothermal Process

For an ideal gas undergoing an isothermal process, the work performed by or on the gas is calculated by integrating the pressure over the change in volume. This results in the equation W = nRT ln(Vf/Vi), which is crucial for linking the initial and final states of the gas when heat transfer is specified.

First Law of Thermodynamics

The first law of thermodynamics is a statement of energy conservation, indicating that the change in internal energy of a system equals the heat added to it minus the work done by it. In an isothermal process for an ideal gas, the change in internal energy is zero, which means the work done exactly equals the heat exchanged with the surroundings.

Ideal Gas Law

The ideal gas law establishes a relationship among pressure, volume, and temperature of an ideal gas. This law, expressed as PV = nRT, is fundamental in predicting how a gas will respond to changes in any of these variables during any thermodynamic process.

Isothermal Process

An isothermal process is one that occurs at a constant temperature. For an ideal gas undergoing this process, any heat added to the system is used entirely to do work, keeping the internal energy unchanged.

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