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Charles’s Law Calculator (V₁/T₁ = V₂/T₂)

Computes volume-temperature changes under constant pressure with automatic Celsius-to-Kelvin conversion.

Interactive Gas Cylinder & Piston ChamberV: VolumeP: Pressure

Charles’s Law (Isobaric: P = Constant) : V₁ / T₁ = V₂ / T₂

Expanded / Contracted Volume (V₂)
2.335 Liters
Direct Temperature-Volume Proportionality (Absolute Kelvin)
$V_2 = V_1 \times \frac{T_2}{T_1} = 2\text{ L} \times \frac{348.1\text{ K}}{298.1\text{ K}} = 2.335\text{ L}$

What is Charles’s Law?

Charles’s Law states that at constant pressure, the volume of a given mass of an ideal gas increases or decreases by the same factor as its absolute temperature.

Formula & Step-by-Step Calculation

V₁ / T₁ = V₂ / T₂

Volume is directly proportional to absolute temperature in Kelvin.

Worked Step-by-Step Examples

Example 1

2.0 L of gas at 25°C (298.15 K) heated to 75°C (348.15 K)

Solution: V₂ = 2.34 Liters
• 2.0 × (348.15 / 298.15) = 2.34 L

Common Real-World & Academic Use Cases

  • ✓ Hot air balloon buoyancy
  • ✓ Thermal expansion of aerosol cans
  • ✓ Cryogenic gas contraction

How to Use the Charles’s Law Calculator (V₁/T₁ = V₂/T₂)

1

Input Initial Volume & Temp

Enter V₁ and T₁ in °C.

2

Input Final Temp

Enter T₂ in °C.

3

Read Final Volume

Inspect expanded volume in Liters.

Frequently Asked Questions

Q: Why must temperature be in Kelvin?

Because gas volume is proportional to absolute thermal kinetic energy, which is zero at 0 Kelvin.

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