Utilities
A collection of useful constants and functions used in chemical engineering. Below is a list of available sections.
Fundamental constants
Physical constants used in chemical engineering.
Atomic mass unit, \(Da\) or \(u\) | 1.66053906660(50)×10-27 kg |
Avogadro's number, \(N_\text{A}\) | 6.022142×1023 mol⁻¹ |
Boltzmann's constant, \(k_\text{B}\) |
1.380649×10-23 J K⁻¹ 8.617333262145×10-5 eV K⁻¹ |
Electron charge, \(q_\text{e}\) | 1.602176634×10-19 C |
Electron mass, \(m_\text{e}\) | 9.1093837015(28)×10-31 kg |
Faraday's constant, \(F\) | 96485.33212 C mol⁻¹ |
Gas constant, \(R\) |
8.31446261815324 J K⁻¹ mol⁻¹ 0.0831446261815324 L bar K⁻¹ mol⁻¹ 0.082057366080960 L atm K⁻¹ mol⁻¹ 1.98720425864083×10-3 kcal K⁻¹ mol⁻¹ 8.20573660809596×10-5 m³ atm K⁻¹ mol⁻¹ 8314.46261815324 L Pa K⁻¹ mol⁻¹ |
Gravitational acceleration, \(g\) | 9.80665 m s² |
Molar volume (STP), \(V_\text{m}\) | 0.024789570296023 m³ mol⁻¹ |
Neutron mass, \(m_\text{n}\) | 1.67492749804(95)×10-27 kg |
Proton mass, \(m_\text{p}\) | 1.67262192369(51)×10-27 kg |
Planck's constant, \(h\) | 6.62607015×10-34 J Hz⁻¹ |
Speed of light, \(c\) | 2.99792458×108 m s⁻¹ |
Error functions
Calculate the error function, \(\text{erf}(x)\), and complementary error function, \(\text{erfc}(x)\), values for a given \(x\).
\(x\)
\(\text{erf}(x)\)
\(\text{erfc}(x)\)
Trigonometric functions
Calculate the value of several trigonometric functions for a given \(\theta\).
Inverse trigonometric functions
Calculate the value of several inverse trigonometric functions for a given \(x\).
Hyperbolic functions
Calculate the value of several hyperbolic functions for a given \(x\).
Bessel functions
Calculate the value of several Bessel functions for a given \(x\).