Characteristic Equation of a Gas is a modified form of general gas equation. If the volume (v) in the general gas equation is taken as that of 1 kg of gas (known as its specific volume, and denoted by vs), then the constant C (in the general gas equation) is represented by another constant R (in the characteristic equation of gas).
Thus, the general gas equation may be rewritten as:
p.vs= RT
where R is known as characteristic gas constant or simply gas constant.
For any mass m kg of a gas, the characteristic gas equation becomes :
m.pvs = mRT or pv = mRT
Notes:
1. In S.I. units, the pressure is expressed in bar (1 bar = 100 kN / m2).
2. The unit of gas constant (R), in S.I. units, is N-m / kg K or J / kg K (1 Nm = 1J)
3. The value of gas constant (R) is different for different gases. Its value for atmospheric air is taken 287 / kg K or 0.287 kJ / kg K.
4. The equation pv = mRT may also be expressed in another form i.e.,
![](data:image/png;base64,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)
where ρ (rho) is the density of the given gas.
Thus, the general gas equation may be rewritten as:
p.vs= RT
where R is known as characteristic gas constant or simply gas constant.
For any mass m kg of a gas, the characteristic gas equation becomes :
m.pvs = mRT or pv = mRT
Notes:
1. In S.I. units, the pressure is expressed in bar (1 bar = 100 kN / m2).
2. The unit of gas constant (R), in S.I. units, is N-m / kg K or J / kg K (1 Nm = 1J)
3. The value of gas constant (R) is different for different gases. Its value for atmospheric air is taken 287 / kg K or 0.287 kJ / kg K.
4. The equation pv = mRT may also be expressed in another form i.e.,
where ρ (rho) is the density of the given gas.
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