Gas constant

Physical constants connecting various thermodynamic functions in equation of state
Collection
zero Useful+1
zero
synonym gas constant (Gas constant) generally refers to gas constant
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Gas constant (also called general gas constant or Ideal gas constant , usually represented by the symbol R) is a Equation of state Contact each thermodynamics Functional Physical constant (gas constant vs Avogadro constant The ratio of is Boltzmann constant.) This is a constant characterizing the properties of ideal gas.
The gas constant is equivalent to Boltzmann constant , but expressed in energy units (i.e. pressure volume product) as per mole per temperature increment (rather than energy per particle per temperature increment). The constant is also a combination of Boyle's law, Charles's law, Avogadro's law and Gay Lussac's law.
The gas constant value is 8.314J/(mol · K). [1]
Chinese name
Gas constant
Foreign name
Gas constant
Applied discipline
physics
Applicable fields
thermodynamics
Indicate letter
R
mathematical expression
pV=nRT
Unit
J/(mol*K)
Value
eight point three one four

brief introduction

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Gas constant is a constant representing the thermodynamic properties of ideal gas. Is the ratio of the product of absolute pressure p and specific volume v of the ideal gas to the thermodynamic temperature T. It is usually represented by the symbol "R", and the unit is "J/(kg · K)". The gas constant is numerically equivalent to the expansion work made by an ideal gas with a mass of 1kg when the temperature increases by 1K during the reversible constant pressure heating process. Its value only depends on the type of gas and has nothing to do with the thermal state of the gas. For example, R of oxygen is always equal to 259.8J/(kg · K), R of nitrogen is always 296.7J/(kg · K), etc. In engineering thermodynamics and other disciplines, the general gas constant is usually divided by thousand molar mass or Mayer’s formula To calculate and determine the gas constants of various ideal gases. [2]

Derivation process

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Known Standard status (Note: 0 ℃, 1 standard atmospheric pressure), 1mol ideal gas Its volume is 22.4L.
Put p=101325 Pa, T=273K,n=1mol,V=22.4L=0.0224m three Substituting in, we get R=8.3138462 ≈ 8.314, in J/(mol · K)
Boltzmann The constant is defined as k=R/Na.
Is the gas constant of the gas. R is called Universal gas constant , also known as universal gas constant, does not change with the change of molecular weight of gas; M is the molar mass of the gas. For example, hydrogen M=0.003016 kg/mol, then
[3-4]

data

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R Value of
Company
eight point three one four four seven two
J/(K·mol)
zero point zero eight two zero five seven four five eight seven
L·atm/(K·mol)
8.20574587 × 10 -5
m three ·atm/(K·mol)
eight point three one four four seven two
m three ·Pa/(K·mol)
eight point three one four four seven two
L·kPa/(K·mol)
8.314472 x 10 six
cm three ·Pa/(K·mol)
sixty-two point three six three seven
L·mmHg/(K·mol)
sixty-two point three six three seven
L·Torr/(K·mol)
one point nine eight seven one eight
cal/(K·mol)
eighty-three point one four four seven two
L·mbar/(K·mol)

Related derivation

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Complementary R unit derivation:
from Ideal gas equation of state : pV=nRT: R=pv/(nT) [where the unit of each quantity is p: pa, v: m three , n: mol, T: k]
Carry in the unit for deduction: R []=pa · m three /(mol · k) (pa · m three It can be divided into: pa · m two ·m. But F=PS knows pa · m two That is N Newton Unit, known from W=FS, N · m is the unit of work J), so the unit of R can be obtained through the above substitution: J/(mol · k).

American Standard Atmosphere

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In 1976, the gas constant R * was defined as:
R * = 8.31432×10 three N m kmol -1 K -1
Note that the use of kilomolar units results in a factor of 1000 in the constant. USSA1976 acknowledges that this value is inconsistent with the quoted value of Avogadro constant and Boltzmann constant. This difference is not a significant deviation from the accuracy. USSA1976 uses this R * value for all calculations of standard atmosphere. When the ISO value of R is used, the calculated pressure increases by 0.62 Pascal at 11km (equivalent to only 17.4 cm or 6.8 inch difference) and 0.292 Pascal at 20km (equivalent to only 0.338 m or 13.2 inch difference). [5]