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Adiabatic Pressure Calculator

Formula

The formula to calculate the pressure or volume in an adiabatic process is:

$P_1 \cdot V_1^\gamma = P_2 \cdot V_2^\gamma$

Where:

$P_1$ is the initial pressure.
$V_1$ is the initial volume.
$P_2$ is the final pressure.
$V_2$ is the final volume.
$\gamma$ is the adiabatic index.

Example

Let's say the initial pressure ( $P_1$ ) is 100,000 Pa, the initial volume ( $V_1$ ) is 1 m³, the final volume ( $V_2$ ) is 0.5 m³, and the adiabatic index ( $\gamma$ ) is 1.4. Using the formula:

$100,000 \cdot 1^{1.4} = P_2 \cdot 0.5^{1.4}$

We get:

$P_2 = \frac{100,000}{0.5^{1.4}} \approx 263901 \text{ Pa}$

So, the final pressure ( $P_2$ ) is approximately 263901 Pa.

What is an Adiabatic Process?

An adiabatic process is a thermodynamic process in which there is no heat exchange between the system and its surroundings. This means that all the work done on or by the system results in a change in the internal energy of the system. In an adiabatic process, the temperature of the system can change even though no heat is added or removed. Adiabatic processes are commonly found in various natural and engineering systems, such as in the compression and expansion of gases in engines and refrigeration cycles.