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It is related to gas fluid compressibility
as:
| LaTeX Math Block |
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| c_g(p) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp} |
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| LaTeX Math Block |
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| Z(p) = \frac{Z_0}{p_0} \cdot p \cdot \exp \left[ - \int_{p_0}^p c(p) dp \right] |
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| Expand |
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| LaTeX Math Block |
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| c_g = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right) \rightarrow \ln \frac{V}{V_0} = - \int_{p_0}^p c(p) dp |
Substituting from | LaTeX Math Block Reference |
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into | LaTeX Math Block Reference |
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one arrives to | LaTeX Math Block Reference |
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. |
The z
See also
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Natural Science / Physics /Thermodynamics
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