MindMap Gallery Mind map of engineering thermodynamics
The ideal gas and real gas part of engineering thermodynamics includes ideal gas, real gas state equation, comparative state law and compression factor diagram, etc.
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This is a mind map about bacteria, and its main contents include: overview, morphology, types, structure, reproduction, distribution, application, and expansion. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
This is a mind map about the reproductive development of animals, and its main contents include: insects, frogs, birds, sexual reproduction, and asexual reproduction. The summary is comprehensive and meticulous, suitable as review materials.
Chapter 2 Thermal Properties of Gases
ideal gas
nature
There is no force between molecules
The molecule itself does not occupy volume
Can be described by simple formula
There is no ideal gas in reality, but the limit state when the actual gas p→0, v→∞ can be regarded as an ideal gas.
ideal gas equation of state
p absolute pressure (Pa), v specific volume (m3/kg), T thermodynamic temperature, R gas constant
V mass is the volume occupied by mkg of gas.
VM=Mv gas molar volume (m3/kmol), R0=MR universal gas constant (J/kmol▪k)
V is the volume occupied by nkmol gas
Gas constant (R) and universal gas constant (R0)
Specific heat capacity
Definition: The amount of heat absorbed or released by a unit amount of a substance when its temperature increases or decreases by 1K (1 degree Celsius).
Mass specific heat capacity c (kJ/(kg▪K))
Volume specific heat capacity c' (kJ/(Nm3▪K))
Molar specific heat capacity Mc (kJ/(kmol▪K))
Specific heat capacity at constant volume
Specific heat capacity at constant pressure
relation
Meyer's formula for ideal gases
Specific heat capacity ratio
For solids and liquids, their thermal expansion is very small, and it can be considered that cp≈cV
Fixed specific heat capacity
Molar specific heat capacity at constant volume
Molar specific heat capacity at constant pressure
i is the number of degrees of freedom of molecular motion, single atom i=3, diatomic i=5, polyatomic i=7
true specific heat capacity
Molar mass specific heat capacity at constant pressure
Constant volume molar specific heat capacity
average specific heat capacity
real gas equation of state
van der Waals equation
For 1kmol of actual gas
a and b are van der Waals constants, which are related to the size of molecules and intermolecular forces, and vary with different substances.
In the physical property curve (phase change) diagram (p-v), the turning point c of the critical constant temperature line is called the critical point. At the critical point, there is no obvious difference between the gaseous and liquid states.
Critical parameters and van der Waals constants
Contrasting state law and compression factor diagram
compression factor
Definition: At the same temperature and pressure, the ratio of the specific volume v of the actual gas to the specific volume value vid calculated according to the ideal gas equation of state, also called the compressibility coefficient, represented by z
z>1, actual gas is difficult to compress
z<1, the actual gas is easy to compress
law of contrasting states
Comparison parameters
Tr, pr, vr are respectively called contrast temperature, contrast pressure and contrast specific volume.
van der Waals contrasting equation of state
Contrast equations
The law of contrasting states: For various gases that satisfy the same contrasting equation, if two of the contrasting parameters are equal, the third contrasting parameter must be equal, and the matter will be in the corresponding state.