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How to Calculate Ideal Gas Law

What is Ideal Gas Law?

The ideal gas law PV = nRT relates pressure (P), volume (V), moles (n), and temperature (T) of an ideal gas. R = 8.314 J/(mol·K) is the universal gas constant.

Step-by-Step Guide

  1. 1Identify which variable you need to find
  2. 2Temperature must be in Kelvin: K = °C + 273.15
  3. 3Rearrange PV = nRT for the unknown
  4. 4An "ideal gas" has no intermolecular forces — real gases deviate at high pressure/low temperature

Worked Examples

Input
1 mol at 0°C, 1 atm (101,325 Pa)
Result
V = 22.4 L
Standard molar volume at STP
Input
P₁=1 atm, V₁=10L, T₁→T₂ (double)
Result
V₂=20 L
Pressure constant, Charles's Law

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