A piston/cylinder contains air at 600 kPa, 290 K and a volume of 0.01 m^3 . A constant-pressure

step 1 For this problem, on the topic of work and heat, we are given the state of air contained in a pi

A piston/cylinder contains air at 600 kPa, 290 K and a...

A piston/cylinder contains air at $600 \mathrm{kPa}, 290 \mathrm{K}$ and a volume of $0.01 \mathrm{m}^{3} .$ A constant-pressure process gives $54 \mathrm{kJ}$ of work out. Find the final volume and temperature of the air.

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Key Concepts

Ideal Gas Law

The ideal gas law, PV = nRT, connects the pressure, volume, temperature, and amount of an ideal gas. This fundamental relationship is used to relate changes in one state variable to another and is critical in solving problems involving state changes in gases under various processes.

Constant Pressure Process

In a constant pressure (isobaric) process, the pressure remains fixed while other state variables like volume and temperature may change. This type of process simplifies analysis because the work done by the system can be calculated as the product of the constant pressure and the change in volume, linking energy transfer to volume change directly.

Work Done by a Gas

The work done by or on a gas during a process is a form of energy transfer that can be calculated through the integration of pressure with respect to volume. For constant pressure processes, this calculation becomes straightforward since work is simply the constant pressure multiplied by the change in volume, making it a key concept in understanding energy transformations in thermodynamics.

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