Thermodynamic Processes study note for Diploma / BTech.

  • Heat (Q)
  • Work (W)

Explore more on Thermodynamic Processes

Where:

  • Q = Heat supplied to the system
  • ฮ”U = Change in internal energy
  • W = Work done by the system

1. Isothermal Process

Definition

An isothermal process is a thermodynamic process in which the temperature remains constant throughout the process.T=constantT = constantT=constant

Characteristics

  • Heat is exchanged with surroundings.
  • Internal energy remains constant for an ideal gas.
  • Pressure and volume change according to Boyleโ€™s Law.

PV=constantPV = constantPV=constant

Work Done

W=nRTlnโก(V2V1)W = nRT \ln \left(\frac{V_2}{V_1}\right)

Where

  • n = number of moles
  • R = gas constant
  • T = absolute temperature

Example

  • Slow expansion of gas in a piston-cylinder arrangement in contact with a heat reservoir.

2. Isobaric Process

Definition

An isobaric process is a thermodynamic process that occurs at constant pressure.P=constantP = constantP=constant

Characteristics

  • Volume and temperature change.
  • Heat supplied increases internal energy and does work.

Work Done

W=P(V2โˆ’V1)W = P(V_2 – V_1)

Heat Transfer

Q=mCp(T2โˆ’T1)Q = m C_p (T_2 – T_1)

Where

  • Cp = Specific heat at constant pressure

Example

  • Heating water in an open container.

3. Isochoric Process (Constant Volume Process)

Definition

An isochoric process occurs at constant volume.V=constantV = constant

Characteristics

  • No boundary work is done.
  • Heat supplied only increases internal energy.

Work Done

W=0W = 0

Heat Transfer

Q=mCv(T2โˆ’T1)Q = m C_v (T_2 – T_1)

Where

  • Cv = Specific heat at constant volume

Example

  • Heating gas in a rigid sealed container.

4. Adiabatic Process

4

Definition

An adiabatic process is a process in which no heat is exchanged with the surroundings.Q=0Q = 0Q=0

Characteristics

  • Temperature changes significantly.
  • Work is done at the expense of internal energy.

Relation

PVฮณ=constantPV^\gamma = constant

Whereฮณ=CpCv\gamma = \frac{C_p}{C_v}

Work Done

W=P1V1โˆ’P2V2ฮณโˆ’1W = \frac{P_1V_1 – P_2V_2}{\gamma – 1}

Example

  • Compression stroke of an internal combustion engine.

5. Polytropic Process

Definition

A polytropic process follows the relation:PVn=constantPV^n = constantPVn=constant

Where n is the polytropic index.

Special Cases

ProcessValue of n
Isothermaln = 1
Isobaricn = 0
Isochoricn = โˆž
Adiabaticn = ฮณ

Example

  • Gas compression in compressors and turbines.

Comparison of Thermodynamic Processes

ProcessConstant ParameterHeat TransferWork Done
IsothermalTemperatureYesYes
IsobaricPressureYesYes
IsochoricVolumeYesNo
AdiabaticNo heat transferNoYes

Applications of Thermodynamic Processes

  1. Internal combustion engines
  2. Refrigeration and air conditioning
  3. Gas turbines
  4. Steam power plants
  5. Compressors and pumps

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