Thermodynamic Processes Calculator

Calculate work, heat, and state changes for ideal gas processes: isothermal, isobaric, isochoric, and adiabatic.

WORK DONE
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Heat Transfer
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Final Pressure
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ΔU
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Process
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Thermodynamic Processes Overview

A thermodynamic process changes a system's state (P, V, T, U). The four fundamental ideal gas processes are: isothermal (constant T), isobaric (constant P), isochoric (constant V), and adiabatic (no heat exchange). These are building blocks of engine cycles like Carnot, Otto, Diesel, and Rankine.

The first law (Q = W + dU) governs each process. Understanding which quantities are zero or constant for each process simplifies analysis. On a PV diagram, work equals the area under the process curve.

Equations

Isothermal: W = PV ln(V2/V1), ΔU = 0
Isobaric: W = PΔV
Isochoric: W = 0
Adiabatic: PVγ = const, Q = 0

Comparison

ProcessConstantWQ
IsothermalTnRT ln(V2/V1)=W
IsobaricPPΔVnCpΔT
IsochoricV0nCvΔT
AdiabaticQ=0-ΔU0

FAQ

What is gamma?

γ = Cp/Cv. Monatomic: 5/3=1.667. Diatomic (air): 7/5=1.4. Polyatomic: ~1.3.