Ideal Gas Law PV Isotherms - Physics Simulations

Live Telemetry & Summary

Move the sliders to watch how the state point slides along the curve (volume shifts) or shifts the curve itself (temperature shifts).

Moles (n):1.5 mol

Temperature (T):300 K

Volume (V):25 L

Pressure (P):149.7 kPa

Variable Adjuster

Moles (n)1.5mol

0.53

Temperature (T)300K

100500

Volume (V)25L

1050

Ideal Gas Law (PV = nRT)

GASL

The Ideal Gas Law relates the pressure, volume, temperature, and amount of gas. When temperature is kept constant, pressure is inversely proportional to volume (Boyle's Law: P ∝ 1/V), forming a hyperbolic curve called an isotherm on a Pressure-Volume graph. Increasing temperature shifts the isotherm outward.

PV = nRT \Rightarrow P = \frac{nRT}{V}

Whiteboard Solver Steps

Step 1

Ideal Gas Equation

The Ideal Gas Law relates the macroscopic state variables: pressure, volume, temperature, and amount of gas.

PV = nRT \Rightarrow P = \frac{nRT}{V}

Step 2

Pressure Output Calculation

With temperature at 300 K and volume at 25 L, the bouncing collisions of molecules generate a pressure on the container walls.

P = \frac{1.5 \cdot 8.314 \cdot 300}{25} = 149.7 \text{ kPa}