数学

Gas Law Calculator

Ideal Gas Law Calculator (PV = nRT)

Volume V (m³)

Moles n (mol)

Temperature T (K)

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とは何か Gas Law Calculator?

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Gas law calculators solve Boyle's, Charles's, Gay-Lussac's, and the combined gas law for pressure, volume, and temperature relationships of ideal gases.

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公式

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f(x)PV = nRT (ideal gas law); P₁V₁/T₁ = P₂V₂/T₂ (combined gas law)

変数の説明

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記号	名前	単位	説明
P	Pressure	atm/Pa	—
V	Volume	litres/m³	—
n	Moles of gas	mol	—
R	Gas constant	0.0821 L·atm/(mol·K)	—
T	Temperature	Kelvin	—

方法 Gas Law Calculator

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1Boyle's law: P₁V₁ = P₂V₂ (constant T)
2Charles's law: V₁/T₁ = V₂/T₂ (constant P)
3Gay-Lussac's: P₁/T₁ = P₂/T₂ (constant V)
4Combined: P₁V₁/T₁ = P₂V₂/T₂

解いた例

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例 1

入力:Boyle's: V₁=4L, P₁=2atm, P₂=4atm

結果:V₂ = P₁V₁/P₂ = 2×4/4 = 2L

実際の応用

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Chemistry laboratory calculations

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Scuba diving safety (decompression)

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HVAC system design

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Industrial gas processing

Gas Law Summary

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Law	Constant	Equation
Boyle's	Temperature	P₁V₁=P₂V₂
Charles's	Pressure	V₁/T₁=V₂/T₂
Gay-Lussac's	Volume	P₁/T₁=P₂/T₂
Combined	Amount	P₁V₁/T₁=P₂V₂/T₂
Ideal gas	—	PV=nRT

よくある質問

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When should I use ideal gas law vs combined?

Ideal: when n (moles) is constant or unknown. Combined: when gas amount is fixed, conditions change.

What temperature units should I use?

Always Kelvin (K = °C + 273.15) in gas law equations. Celsius and Fahrenheit don't work.

Is the ideal gas approximation accurate?

Good for most gases at normal conditions. Poor at high pressure or low temperature. Use van der Waals for precision.

参考文献

›Gas laws — Khan Academy

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Reviewed October 2026

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