Ideal Gas Law Calculator (PV = nRT Equation of State)
Calculate gas pressure, volume, molar amount, and temperature across ideal thermodynamic states.
TL;DR: Ideal Gas Law Calculator solves the thermodynamic equation of state ($P V = n R T$), resolving pressure ($P$), volume ($V$), moles ($n$), or temperature ($T$) across metric, imperial, and SI units.
What Is the Ideal Gas Law Formula and How Is PV = nRT Solved?
The Ideal Gas Law is PV = nRT, where P is pressure (atm, Pa, bar), V is volume (L, m³), n is amount of substance (moles), R is the universal gas constant (0.082057 L·atm/(mol·K) or 8.31446 J/(mol·K)), and T is absolute temperature in Kelvin (K = °C + 273.15).
How to Use the Ideal Gas Law Calculator
Our Ideal Gas Law Calculator performs high-precision mathematical operations directly in your browser with zero latency and complete client-side privacy.
- Select which thermodynamic property to solve: Pressure ($P$), Volume ($V$), Moles ($n$), or Temperature ($T$).
- Enter the three known gas properties with their corresponding measurement units.
- The calculator automatically handles universal gas constant ($R$) unit conversions.
- Click 'Calculate' to see the exact resulting state and gas density.
- Review the derivation and check Standard Temperature and Pressure (STP) comparisons.
Mathematical Formula & Equations
Where P is pressure (atm/kPa), V is volume (L), n is moles, R is gas constant ($0.08206\text{ L}\cdot\text{atm}/(\text{mol}\cdot\text{K})$), and T is absolute temperature in Kelvin.
Calculation Example
For $2.0\text{ moles}$ of gas in a $10.0\text{ L}$ container at $300\text{ K}$: $$P = \frac{2.0 \times 0.08206 \times 300}{10.0} = 4.924\text{ atm}$$
100% Client-Side Privacy & Data Security
All calculations, amortization schedules, variables, and sensitive numerical datasets execute 100% locally in your web browser memory. Your financial, medical, and personal values are never transmitted, logged, or uploaded to any external server.
Frequently Asked Questions
- The gas constant R equals `0.082057 L·atm/(mol·K)`, `8.31446 J/(mol·K)`, `62.3637 L·mmHg/(mol·K)`, or `1.9872 cal/(mol·K)`.
- At Standard Temperature and Pressure (STP: 0°C / 273.15 K and 1 atm), 1 mole of any ideal gas occupies exactly `22.414 Liters`.
- Gas volume and pressure are directly proportional to absolute thermal kinetic energy; using Celsius or Fahrenheit produces mathematical division errors near zero.
- An ideal gas assumes gas molecules have zero molecular volume and exert no intermolecular attractive or repulsive forces on each other.
- Real gases deviate from ideal behavior at very high pressures (molecules crowded together) and very low temperatures (intermolecular attractions become significant).
- The formula is `P × V = n × R × T`, where gas constant `R = 8.314462 J/(mol·K)` or `0.082057 L·atm/(mol·K)`.
Cite This Calculator
Need to reference this online calculator in a financial proposal, academic paper, blog post, or classroom curriculum? Copy a citation below.
Embed This Tool
Add the live Ideal Gas Law Calculator to your own website with this snippet — it loads the real, working calculator in an iframe.
<iframe src="https://nexlove.org/embed/ideal-gas-law-calculator.html" width="100%" height="600" style="border:1px solid #e2e8f0;border-radius:12px" title="Ideal Gas Law Calculator — NexLove.org" loading="lazy"></iframe>