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Ideal Gas Law (PV = nRT) Thermodynamic Solver

The Ideal Gas Law relates the macroscopic state variables of pressure P, volume V, molar amount n, and absolute temperature T via the universal gas constant R = 8.3144626 J/(mol·K).

P × V = n × R × T
Pick which value you want to calculate (or type into any field):Solving for: P — Absolute Pressure
Calculated

Gas pressure in Pascals (Pa)

10010,000,000.00

Container volume in cubic meters (m³)

0.00001100

Quantity of gas in moles

0.011,000.00
unit

Thermodynamic temperature in Kelvin (K = °C + 273.15)

503,000.00
unit
Calculated Result · Absolute Pressure (P)
101,410.91Pa
Converted units:

Step-by-Step Calculation

01Canonical Law: P × V = n × R × T
02Given Inputs (Base Units): V = 0.0248 m³, n (mol) = 1, T (K) = 302.36
03Solve for P (Absolute Pressure): P = 101,410.91 Pa

The Ideal Gas Law relates the macroscopic state variables of pressure P, volume V, molar amount n, and absolute temperature T via the universal gas constant R = 8.3144626 J/(mol·K).

Real-World Reference Values

Molar Volume at STP (273.15 K, 1 atm)22.414 Liters / mol

0.022414 m³ per mole of ideal gas

Universal Gas Constant (R)8.3144626 J/(mol·K)

Exact product of Boltzmann constant k_B and Avogadro's number N_A

Standard Atmosphere (1 atm)101,325 Pa (14.696 psi)

Switch inline unit selector on P to kPa, bar, psi, or atm

20-Row Comparison Table

Absolute Pressure (P) · Gas Volume (V)

Ideal Gas Law (PV = nRT) Thermodynamic Solver — Gas Volume → Absolute Pressure
#Gas Volume (m³)Absolute Pressure (Pa)Δ %
010.02479 m³Current101,410.91 Pa0.00%
020.724998 m³3,467.51 Pa-96.58%
031.45 m³1,733.76 Pa-98.29%
042.175 m³1,155.85 Pa-98.86%
052.9 m³866.8854 Pa-99.15%
063.625 m³693.5088 Pa-99.32%
074.3499 m³577.9243 Pa-99.43%
085.0749 m³495.3638 Pa-99.51%
095.7999 m³433.4435 Pa-99.57%
106.5249 m³385.2832 Pa-99.62%
117.2499 m³346.7549 Pa-99.66%
127.9749 m³315.2318 Pa-99.69%
138.6999 m³288.9625 Pa-99.72%
149.4249 m³266.7346 Pa-99.74%
1510.1498 m³247.6822 Pa-99.76%
1610.8748 m³231.17 Pa-99.77%
1711.5998 m³216.7219 Pa-99.79%
1812.3248 m³203.9736 Pa-99.80%
1913.0498 m³192.6417 Pa-99.81%
2013.7748 m³182.5027 Pa-99.82%
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Frequently Asked Questions

Can I enter volume in Liters and pressure in bar or psi?+

Yes. Use the inline unit selectors on P (Pa, kPa, bar, psi, atm) and V (m³, L, cm³) and the engine handles all SI conversions automatically.

Why must temperature T be entered in Kelvin?+

Ideal gas pressure is proportional to average molecular kinetic energy, which vanishes only at absolute zero (0 K = -273.15 °C).

When do real gases deviate from PV = nRT?+

At cryogenic temperatures or high pressures (>50 bar), intermolecular attraction and finite molecular volume require the Van der Waals equation.