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In any case, the context and/or unit of the gas constant should make it clear as to whether the universal or specific gas constant is being referred to. [ 10 ] In case of air, using the perfect gas law and the standard sea-level conditions (SSL) (air density ρ 0 = 1.225 kg/m 3 , temperature T 0 = 288.15 K and pressure p 0 = 101 325 Pa ), we ...
It is common, especially in engineering and meteorological applications, to represent the specific gas constant by the symbol R. In such cases, the universal gas constant is usually given a different symbol such as ¯ or to distinguish it. In any case, the context and/or units of the gas constant should make it clear as to whether the universal ...
The ideal gas law is the equation of state for an ideal gas, given by: = where P is the pressure; V is the volume; n is the amount of substance of the gas (in moles) T is the absolute temperature; R is the gas constant, which must be
This has the same form as an equation for a straight line: = +, where x is the reciprocal of T. So, when a reaction has a rate constant obeying the Arrhenius equation, a plot of ln k versus T −1 gives a straight line, whose slope and intercept can be used to determine E a and A respectively. This procedure is common in experimental chemical ...
p is the gas pressure; R is the gas constant, T is temperature, V m is the molar volume (V/n), a is a constant that corrects for attractive potential of molecules, and; b is a constant that corrects for volume. The constants are different depending on which gas is being analyzed. The constants can be calculated from the critical point data of ...
where is the isochoric (at constant volume) molar heat capacity of the gas; is constant for an ideal gas. The internal energy of any gas (ideal or not) may be written as a function of the three extensive properties S {\displaystyle S} , V {\displaystyle V} , N {\displaystyle N} (entropy, volume, number of moles ).
If the calorically perfect gas approximation is used, then the ideal gas law may also be expressed as follows = where is the number density of the gas (number of atoms/molecules per unit volume), = / is the (constant) adiabatic index (ratio of specific heats), = is the internal energy per unit mass (the "specific internal energy"), is the ...
Technical literature can be confusing because many authors fail to explain whether they are using the ideal gas constant R, or the specific gas constant R s. The relationship between the two constants is R s = R / m, where m is the molecular mass of the gas. The US Standard Atmosphere (USSA) uses 8.31432 m 3 ·Pa/(mol·K) as the value of R.