Flag Thermal Physics> how did the relation cv = cp- R arises...
question mark

how did the relation
cv = cp- R arises

rahul , 10 Years ago
Grade 10
anser 3 Answers
grenade

Last Activity: 10 Years ago

well if you know that 
change in enthalpy dH = change in internal energy dU + dnRdT
now open all the terms 
ncpdt  = ncvdt  +nrdt
cancelling the underlined and bold letters
cv=cp-R
 
grenade

Last Activity: 10 Years ago

i will refer u that u should again read class 11 physics and chemistry thermodynamics for your further clarification
Abhishek Singh

Last Activity: 10 Years ago

It arises from the first law of the thermodynamics 
  
  dq = dU + pdv …..........(1)
 for const pressure dq= n Cp dT
and dU= nCvdT  
always holds true .
PV=nRT------> Pdv= nRdT at const pressure 
Put all these in eqn. 1
       n Cp dT = nCvdT + n RdT
----------> C- Cv = R 
 
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