Gas Parameters
Presets
Ideal Gas Law · Kinetic Theory
$PV = nRT,\quad R = 8.314\text{ J/(mol·K)}$$v_\text{rms} = \sqrt{\frac{3RT}{M}}$
$U = \frac{3}{2}nRT$ (monatomic ideal gas)
Explore PV=nRT through real-time molecular animation and interactive P-V and P-T charts. Adjust temperature and moles to see how pressure, density and internal energy respond.
IUPAC STP: 273.15 K (0°C) and 100 kPa; molar volume = 22.414 L/mol. SATP: 298.15 K (25°C) and 100 kPa; molar volume = 24.790 L/mol. Always check which standard is being used in calculations.
Monatomic gases (He, Ar) have only 3 translational degrees of freedom. Diatomic gases (N₂, O₂) add 2 rotational degrees → U = (5/2)nRT and Cv = (5/2)R. Polyatomic molecules have even more modes, giving higher heat capacity.
Z = PV/(nRT). For ideal gas Z=1 always. For real gases, Z deviates from 1 at high pressure (Z>1, repulsion dominates) and at moderate pressure near the Boyle temperature (Z<1, attraction dominates). Z charts (generalized correlations) are used in engineering.
No. This tool models only the gas phase. Liquid N₂ has strong intermolecular forces and cannot be treated as an ideal gas. The ideal gas approximation fails entirely for condensed phases.
Ideal Gas Simulator (PVT Surface) is a fundamental topic in engineering and applied physics. This interactive simulator lets you explore the key behaviors and relationships by directly manipulating parameters and observing real-time results.
By combining numerical computation with visual feedback, the simulator bridges the gap between abstract theory and physical intuition — making it an effective learning tool for students and a rapid-verification tool for practicing engineers.
The simulator is based on the governing equations of Ideal Gas Simulator (PVT Surface). Understanding these equations is key to interpreting the results correctly.
Each parameter in the equations corresponds to a slider in the control panel. Moving a slider changes the equation's solution in real time, helping you build a direct connection between mathematical expressions and physical behavior.
Engineering Design: The concepts behind Ideal Gas Simulator (PVT Surface) are applied across mechanical, structural, electrical, and fluid engineering disciplines. This tool provides a quick way to estimate design parameters and sensitivity before committing to full CAE analysis.
Education & Research: Widely used in engineering curricula to connect theory with numerical computation. Also serves as a first-pass validation tool in research settings.
CAE Workflow Integration: Before running finite element (FEM) or computational fluid dynamics (CFD) simulations, engineers use simplified models like this to establish physical scale, identify dominant parameters, and define realistic boundary conditions.
Model assumptions: The mathematical model used here relies on simplifying assumptions such as linearity, homogeneity, and isotropy. Always verify that your real system satisfies these assumptions before applying results directly to design decisions.
Units and scale: Many calculation errors arise from unit conversion mistakes or order-of-magnitude errors. Pay close attention to the units shown next to each parameter input.
Validating results: Always sanity-check simulator output against physical intuition or hand calculations. If a result seems unexpected, review your input parameters or verify with an independent method.