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isobaric process : ウィキペディア英語版
isobaric process

An ''isobaric process'' is a thermodynamic process in which the pressure stays constant: Δ''P'' = 0. The term derives from the Greek ''iso-'' (equal) and ''baros'' (weight). The heat transferred to the system does work, but also changes the internal energy of the system:
: Q = \Delta U + W\,
According to the first law of thermodynamics, ''W'' is work done ''by'' the system, ''U'' is internal energy, and ''Q'' is heat. Pressure-volume work by the closed system is defined as:
:W = \int \! p \,dV \,
where Δ means change over the whole process, whereas d denotes a differential. Since pressure is constant, this means that
: W = p \Delta V\, .
Applying the ideal gas law, this becomes
: W = n\,R\,\Delta T
assuming that the quantity of gas stays constant, e.g., there is no phase transition during a chemical reaction. According to the equipartition theorem, the change in internal energy is related to the temperature of the system by
: \Delta U = n\,c_V\,\Delta T,
where c_V is specific heat at a constant volume.
Substituting the last two equations into the first equation produces:
: Q = n\,c_V\,\Delta T + n\,R\,\Delta T
:: = n\,(c_V + R)\,\Delta T
:: = n\,c_P\,\Delta T ,
where c_P is specific heat at a constant pressure.
==Specific heat capacity==
To find the molar specific heat capacity of the gas involved, the following equations apply for any general gas that is calorically perfect. The property \gamma is either called the adiabatic index or the heat capacity ratio. Some published sources might use ''k'' instead of \gamma.
Molar isochoric specific heat:
:c_V = \frac.
Molar isobaric specific heat:
:c_p = \frac.
The values for \gamma are \gamma = 1.4 for diatomic gasses like air and its major components, and \gamma = \frac for monatomic gasses like the noble gasses. The formulas for specific heats would reduce in these special cases:
Monatomic:
:c_V = \frac and c_P = \frac
Diatomic:
:c_V = \frac and c_P = \frac
An isobaric process is shown on a P-V diagram as a straight horizontal line, connecting the initial and final thermostatic states. If the process moves towards the right, then it is an expansion. If the process moves towards the left, then it is a compression.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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