Chemistry & Science

Free Ideal Gas Law (PV = nRT) Calculator

Thermodynamics and gas kinetics govern physical chemistry, meteorology, engine design, and chemical engineering. Our free ideal gas law calculator pv nrt enables you to calculate gas pressure volume temperature parameters effortlessly. Solve for Pressure (P), Volume (V), Moles of gas (n), or Kelvin Temperature (T) using customizable gas constant (R) values.

Ideal Gas Law (PV = nRT) Calculator

Calculate Pressure (P), Volume (V), Moles (n) or Temperature (T)

Moles of Gas (n)

Volume (Liters)

Temperature (°C)

Calculated Gas Pressure (P)

Pressure: 4.924 atm

In kPa: 498.88 kPa | In PSI: 72.36 PSI

Kelvin Temperature: 300.00 K | Gas Constant R = 0.08206 L·atm/(mol·K)

Mathematical Formulas & Calculation Methods

Ideal Gas Law Equation

Relates pressure, volume, moles, and temperature using the ideal gas law calculator pv nrt.

P × V = n × R × T

Pressure Formula (P)

Calculates gas pressure in atm, kPa, or PSI using the gas constant r solver chemistry.

P = (n × R × T) ÷ V

Volume Formula (V)

Calculates gas volume in Liters or m³ using our thermodynamics ideal gas equation.

V = (n × R × T) ÷ P

Worked Step-by-Step Examples

Example 1: Finding Gas Pressure in a Container

"Find the pressure of 2.0 moles of gas in a 10.0 L container at 300 K (using R = 0.08206 L·atm/mol·K). <strong>how to calculate ideal gas law</strong>."

Steps:

n = 2.0 mol, V = 10.0 L, T = 300 K, R = 0.08206.
P = (2.0 × 0.08206 × 300) ÷ 10.0 = 49.236 ÷ 10.0 = 4.92 atm.

Result: The gas pressure is 4.92 atm.

Example 2: Calculating Gas Volume at STP

"Find the volume of 1.0 mole of gas at Standard Temperature and Pressure (STP: P = 1 atm, T = 273.15 K)."

Steps:

V = (1.0 × 0.08206 × 273.15) ÷ 1.0 = 22.41 L.

Result: 1.0 mole of ideal gas at STP occupies 22.41 Liters.

What is Ideal Gas Law (PV = nRT) Calculator?

An ideal gas law calculator pv nrt evaluates the equation of state of a hypothetical ideal gas.

The equation combines Boyle's Law, Charles's Law, and Avogadro's Law into a single thermodynamic relation.

How to Use Ideal Gas Law (PV = nRT) Calculator

1Select the parameter you want to solve for (P, V, n, or T).
2Enter known values and choose unit preferences.
3View instant pressure, volume, moles, or temperature results.
4Copy calculations directly into physics or chemistry reports.

Key Features

Solves P, V, n, or T automatically.
Supports R gas constant units in L·atm/(mol·K), J/(mol·K), and kPa·L/(mol·K).
Automatic Celsius to Kelvin temperature conversion.
Step-by-step formula breakdown for physics/chemistry exams.
100% free online calculator.

Benefits of Using Ideal Gas Law (PV = nRT) Calculator

Simplifies complex thermodynamic gas calculations.

Prevents temperature unit errors (forgetting to convert °C to K).

Essential tool for chemistry students and mechanical engineers.

Runs on mobile phones and desktop computers.

Practical Use Cases

Physics & Chemistry Students

Verify homework and master kelvin temperature gas law tool equations.

Chemical Engineers

Design gas storage tanks and reaction vessels.

Meteorologists

Model atmospheric pressure and air density variations.

Scuba & HVAC Technicians

Analyze compressed gas tank pressures and volume changes.

Frequently Asked Questions

What is the value of gas constant R?

R = 0.08206 L·atm/(mol·K) or 8.314 J/(mol·K) using our gas constant r solver chemistry.

Why must temperature be in Kelvin?

Absolute zero (0 K) represents zero gas kinetic energy. Using °C would produce invalid negative volume calculations.

What is molar volume at STP?

At STP (0°C, 1 atm), 1 mole of any ideal gas occupies 22.41 Liters.

Is this ideal gas law calculator free?

Yes, this ideal gas law calculator pv nrt is 100% free.

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