## Specific Gas Constant (via Mass)

`$$ R_{\text s} ~=~ \frac{k_{\text B}}{\class{brown}{m}} $$`

$$R_{\text s} ~=~ \frac{R}{M_{\text n}}$$ $$R_{\text s} ~=~ \frac{R}{M_{\text n}}$$ $$M_{\text n} ~=~ \frac{R}{R_{\text s}}$$ $$R ~=~ M_{\text n} \, R_{\text s}$$

The specific gas constant indicates the ratio of the molar gas constant to the molar mass of a gas.

Gas | Specific gas constant \(R_{\text s}\) |
---|---|

Helium (He) | \( 2077.1 \, \frac{\mathrm J}{ \mathrm{kg}\, \mathrm{K} } \) |

Methane (CH4) | \( 518.4 \, \frac{\mathrm J}{ \mathrm{kg}\, \mathrm{K} } \) |

Nitrogen (N2) | \( 296.8 \, \frac{\mathrm J}{ \mathrm{kg}\, \mathrm{K} } \) |

Oxygen (O2) | \( 259.8 \, \frac{\mathrm J}{ \mathrm{kg}\, \mathrm{K} } \) |

Carbon dioxide (CO2) | \( 188.9 \, \frac{\mathrm J}{ \mathrm{kg}\, \mathrm{K} } \) |

Molar mass [kg / mol] of a substance is the total mass \(m\) of the gas per amount of substance \(n\): \( M_{\text n} = m/n\).

Gas | Molar mass \(M_{\text n}\) |
---|---|

Helium (He) | \( 4.003 \cdot 10^{-3} \, \frac{\mathrm{kg}}{ \mathrm{mol}} \) |

Methane (CH4) | \( 16.04 \cdot 10^{-3} \, \frac{\mathrm{kg}}{ \mathrm{mol}} \) |

Nitrogen (N2) | \( 28.01 \cdot 10^{-3} \, \frac{\mathrm{kg}}{ \mathrm{mol}} \) |

Oxygen (O2) | \( 32.00 \cdot 10^{-3} \, \frac{\mathrm{kg}}{ \mathrm{mol}} \) |

Carbon dioxide (CO2) | \( 44.01 \cdot 10^{-3} \, \frac{\mathrm{kg}}{ \mathrm{mol}} \) |

Molar gas constant (also called universal gas constant) is a physical constant from thermodynamics and has the following *exact* value:`$$ R ~=~ 8.314 \, 462 \, 618 \, 153 \, 24 \, \frac{\mathrm J}{\mathrm{mol} \, \mathrm{K}} $$`

**Copyright**: © 2022**License**: CC BY 4.0**Summary**: Formula with which you can calculate specific gas constant, if molar mass of a substance is given. Here there is also a table with values for the gas constant.- This formula was added by Alexander Fufaev on
12/01/2022 - 02:57 . - This formula was updated by Alexander Fufaev on
12/01/2022 - 02:59 .

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