Isobaric Process - Entropy

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Isobaric process is a thermodynamic process where the pressure is kept constant, \(\Delta p = 0\).

 

Isobaric process - entropy Formulas

\(\large{ S  =  \Delta S \; C_p \; \left[ ln \left( \frac{T_f}{T_i}  \right) \right] }\)   
\(\large{ S  =  \Delta S \; \left( n\; C_v \right) \; \left[ ln \left( \frac{T_f}{T_i}  \right) \right] }\)   

Where:

 Units English Metric
\(\large{ S }\) = entropy \(\large{\frac{Btu}{lbm-R}}\) \(\large{\frac{kJ}{kg-K}}\)
\(\large{ \Delta S }\) = change in entropy \(\large{\frac{Btu}{lbm-R}}\) \(\large{\frac{kJ}{kg-K}}\)
\(\large{ C_p }\) = heat capacity at constant pressure \(\large{\frac{Btu}{R}}\) \(\large{\frac{kJ}{K}}\)
\(\large{ C_v }\) = heat capacity at constant volume \(\large{\frac{Btu}{R}}\) \(\large{\frac{kJ}{K}}\)
\(\large{ ln }\) = natural logarithm \(\large{dimensionless}\)
\(\large{ n }\) = number of moles \(\large{dimensionless}\)
\(\large{ T_f }\) = final temperature \(\large{R}\) \(\large{K}\)
\(\large{ T_i }\) = initial temperature \(\large{R}\) \(\large{K}\)

 

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Tags: Temperature Equations Pressure Equations Entropy Equations