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Chemistry

Charles’s Law Calculator

V₁/T₁ = V₂/T₂. Free online Charles’s Law Calculator. Calculate charles’s law online — fast, accurate, mobile-friendly, no signup needed.

P·V = n·R·T.
V₂
2.732601

Derivation

  1. ├── 01GivenV1 = 2, T1 = 273, T2 = 373
  2. ├── 02Formulat × e.T2 / a
  3. ├── 03Substitutet × e.373 / a
  4. └── 04Compute V₂2.732601
Did you know?

Robert Boyle (1662) discovered that for a fixed gas at constant T, P·V is constant — arguably the first scientific law expressed as an equation.

§01What is

Understanding the Charles’s Law Calculator

The Charles’s Law Calculator computes V₂ from 3 inputs: v₁, t₁ (k), t₂ (k). V₁/T₁ = V₂/T₂.

Chemistry turns grams and moles into reactions. Getting the stoichiometry, dilutions, or concentrations right is the difference between a lab result you can trust and one you can’t reproduce. The Charles’s Law Calculator sits in that toolkit — it V₁/T₁ = V₂/T₂. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

t × e.T2 / a

Where

V1
V₁
T1
T₁ (K)
T2
T₂ (K)
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: V₁ = 2, T₁ (K) = 273, T₂ (K) = 373.

  1. 01Start by noting the input — V₁: 2.
  2. 02Start by noting the input — T₁ (K): 273.
  3. 03Start by noting the input — T₂ (K): 373.
  4. 04Substitute these values into the formula: t × e.T2 / a
  5. 05Compute V₂: the calculator returns 2.7326.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Charles’s Law Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

V₁ halved

V1 = 1 (from 2)

Keep every other input at its default and halve the v₁. See how v₂ responds.

  1. 01New V₁: 1
  2. 02Baseline V₂: 2.7326
  3. 03New V₂: 1.3663
  4. 04V₂ decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

V₁ doubled

V1 = 4 (from 2)

Keep every other input at its default and double the v₁. See how v₂ responds.

  1. 01New V₁: 4
  2. 02Baseline V₂: 2.7326
  3. 03New V₂: 5.4652
  4. 04V₂ increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

T₁ (K) halved

T1 = 136.5 (from 273)

Keep every other input at its default and halve the t₁ (k). See how v₂ responds.

  1. 01New T₁ (K): 136.5
  2. 02Baseline V₂: 2.7326
  3. 03New V₂: 5.4652
  4. 04V₂ increases by 100% → use this sensitivity to plan for real-world variation.
04 · PATTERN

T₁ (K) doubled

T1 = 546 (from 273)

Keep every other input at its default and double the t₁ (k). See how v₂ responds.

  1. 01New T₁ (K): 546
  2. 02Baseline V₂: 2.7326
  3. 03New V₂: 1.3663
  4. 04V₂ decreases by 50% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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