理想气体压强计算器

Ideal Gas Pressure

Ideal Gas Pressure

📐 计算公式
理想气体状态方程(求压强):P = n·R·T ÷ V(R = 8.314 kPa·L/(mol·K),n 物质的量 mol、T 热力学温度 K、V 体积 L);联动量:Pa 口径 = P×1000。校验:n、T、V 三项必填守卫,V 作为分母不得为 0。判据:无固定分级,定容下压强与热力学温度成正比(查理定律),定量恒温下与体积成反比(玻意耳定律)。

由理想气体状态方程求给定体积下的气体压强。

Formula & Standard References

Item Formula / Note Source / Standard
Ideal gas lawpV = nRTClapeyron equation
Universal gas constantR = 8.314462618 J/(mol·K)CODATA 2018
Amount of substancen = m/MMolar conversion
Specific gas constantR_s = R/M, air 287 J/(kg·K)Engineering thermodynamics
Absolute pressureUse absolute, not gauge pressurePressure reference
DeviationUse Z at high p / low TReal gas correction
📌 计算说明
  • P = nRT / V,R = 8.314 kPa·L/(mol·K)。
  • 1 mol 在 STP(22.414 L) 下约 101.3 kPa。

📐 Physical Constants

Constants used on this page and their authoritative sources, for verification and citation

Constant Value Unit Source
Molar gas constant R = N_A·k 8.314462618 J·mol⁻¹·K⁻¹ Derived from exact N_A and k (exact)
Avogadro constant N_A 6.02214076 × 10²³ mol⁻¹ SI defining constant (exact)
Boltzmann constant k 1.380649 × 10⁻²³ J·K⁻¹ SI defining constant (exact)
Molar volume of ideal gas (273.15 K, 101.325 kPa) 22.41396954 L·mol⁻¹ Derived from R, T and p (V_m = RT/p)

Note: R belongs to the revised SI set of exact defining constants; the ideal gas law holds only approximately at low pressure and high temperature, far from liquefaction.

📚 深度解析:理想气体状态方程

💡 常见使用场景

1mol 标准态
n=1, T=273.15 K, V=22.414 L=0.022414 m³, R=8.314:P=1×8.314×273.15/0.022414=1.013×10⁵ Pa=101.3 kPa。
升温
T 273→373 K:P 升至 138.3 kPa。

❓ 常见问题(FAQ)

V 单位?
用 m³(非 L),R=8.314 J/molK;用 L 时 R=8.314 L·kPa/molK。
适用性?
低压高温近似理想,高压或近液化需真实气体方程。