The expression of the Boyle-Marriott law is found from the
ratio of the state
equations of the system.
P
1
/P
2
=
2
/
1
or P
1
1
=P
2
2
…P
n
n
=const
(6.14)
Therefore, the pressure multiplied by the volume of a given mass of gas at a
constant temperature is a constant quantity.
12. Isochoric process.
Base words and phrases:
pressure, temperature, diagrams,
internal energy, work, amount of
heat, enthalpy,
entropy
Isochoric process is a thermodynamic process characterized by a constant volume of the system.
In an isochoric process, the amount of work done by or on the system is zero as there is no
change in the volume of the system.
Here are some base words and phrases related to an isochoric process:
- Pressure: During an isochoric process, if the amount of gas in the system remains the same, the
pressure will be directly proportional to the temperature of the gas,
according to the ideal gas
law (PV=nRT).
- Temperature: Since there is no change in volume, the temperature of the system will increase if
heat is added and decrease if heat is removed as all the heat goes into changing the internal
energy of the system.
- Diagrams: Isochoric processes are represented on thermodynamic diagrams, such as pressure-
volume (PV) and temperature-entropy (TS) diagrams. On a PV diagram, an isochoric process
is a vertical line, since there is no change in volume.
- Internal energy: During an isochoric process, the change in internal energy of the system is equal
to the amount of heat added or removed from the system. As there is no work done by or on
the system, the change in internal energy is due only to heat transfer.
- Work: As mentioned earlier, the amount of work done by or on the system during an isochoric
process is zero, as there is no change in volume. The formula for work done during any process
is W = -pΔV.
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