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The pressure ($p$), the volume ($V$), the absolute temperature ($T$), and the number of moles ($n$) are related through the following physical laws:
• Boyle's law
• Charles's law
• Gay-Lussac's law
• Avogadro's law
These laws can be expressed in a more general form as:
$\displaystyle\frac{pV}{nT}=cte$
This general relationship states that the product of pressure and volume divided by the number of moles and temperature remains constant:
Boyle's law states that with the absolute temperature ($T$) constant, the product of the pressure ($p$) and the volume ($V$) is equal to the boyle's law constant ($C_b$):
This means that if a gas transitions from an initial state (the pressure in initial state ($p_i$) and the volume in state i ($V_i$)) to a final state (the pressure in final state ($p_f$) and the volume in state f ($V_f$)), maintaining the absolute temperature ($T$) constant, it must always satisfy Boyle's law:
$p_i V_i = C_b = p_f V_f$
Therefore, it follows that:
Examples
The water column pressure ($p$) is calculated from the column force ($F$) and the column Section ($S$) as follows:
The particle concentration ($c_n$) is defined as the number of particles ($N$) divided by the volume ($V$):
The molar concentration ($c_m$) corresponds to ERROR:9339,0 divided by the volume ($V$) of a gas and is calculated as follows:
If a gas transitions from an initial state (i) to a final state (f) with the absolute temperature ($T$) constant, the following relationship holds for the pressure in initial state ($p_i$), the pressure in final state ($p_f$), the volume in state i ($V_i$), and the volume in state f ($V_f$):
The pressure ($p$), the volume ($V$), the absolute temperature ($T$), and the number of moles ($n$) are related by the following equation:
where the universal gas constant ($R_C$) has a value of 8.314 J/K mol.
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