Adiabatic Process All Formulas

Adiabatic Relations for Ideal Gas:

\[ PV^\gamma = \text{constant} \] \[ TV^{\gamma-1} = \text{constant} \] \[ TP^{(1-\gamma)/\gamma} = \text{constant} \]

Specific Heat Ratio (γ):

unitless

Pressure (P):

Volume (V):

m³

Temperature (T):

PV^γ Constant:

TV^γ-1 Constant:

TP^(1-γ)/γ Constant:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Are Adiabatic Process Formulas?

Adiabatic process formulas describe the relationship between pressure, volume, and temperature for an ideal gas undergoing a process where no heat is exchanged with the surroundings. These relations are fundamental in thermodynamics and engineering applications.

2. How Do The Formulas Work?

The calculator uses three main adiabatic relations:

\[ PV^\gamma = \text{constant} \] \[ TV^{\gamma-1} = \text{constant} \] \[ TP^{(1-\gamma)/\gamma} = \text{constant} \]

Where:

\( P \) — Pressure (Pascals)
\( V \) — Volume (cubic meters)
\( T \) — Temperature (Kelvin)
\( \gamma \) — Specific heat ratio (unitless)

Explanation: These equations describe how pressure, volume, and temperature change during adiabatic compression or expansion while maintaining constant entropy.

3. Importance of Adiabatic Processes

Details: Adiabatic processes are crucial in understanding internal combustion engines, compressors, turbines, atmospheric phenomena, and various thermodynamic cycles. They represent idealized processes where energy transfer occurs only as work.

4. Using the Calculator

Tips: Enter the specific heat ratio (γ), pressure in Pascals, volume in cubic meters, and temperature in Kelvin. All values must be positive with γ > 1. The calculator will compute the three adiabatic constants.

5. Frequently Asked Questions (FAQ)

Q1: What is the specific heat ratio (γ)?
A: γ is the ratio of specific heat at constant pressure (Cp) to specific heat at constant volume (Cv). For monatomic gases γ ≈ 1.67, for diatomic gases γ ≈ 1.4.

Q2: When are adiabatic processes applicable?
A: Adiabatic processes apply when the process occurs rapidly enough that heat transfer is negligible, or when the system is perfectly insulated.

Q3: How does temperature change during adiabatic compression?
A: During adiabatic compression, temperature increases because work done on the gas increases its internal energy.

Q4: What's the difference between adiabatic and isothermal processes?
A: Adiabatic processes have no heat exchange (Q=0), while isothermal processes maintain constant temperature (ΔT=0).

Q5: Are real processes truly adiabatic?
A: Real processes are rarely perfectly adiabatic, but many engineering applications approximate adiabatic conditions for practical calculations.