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Grade 12th passThermal Physics

How to derive the relation : Cp/Cv = gamma????? From basic terms

Profile image of Siddhi
9 Years agoGrade 12th pass
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1 Answer

Profile image of U.Divyatejasree
9 Years ago
Formula of enthaply (delta H)=(deltaE)+PV
Equation of ideal gas=pv=nRT
From equation we get pv=RT   (where n=1)
subtitute pv value in enthalpy we get                       
E+RT=H
differentiate the ‘H’ with respect to T we get
dE/dt+R=dH/dt
substitute dE/dt =cv and dH/dt=cp we get
cv+R=cp
cp-cv=R
      or
cp-cv=gama
 

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