prove that ∆H=∆U+∆nRT what is condition under which ∆u=∆H
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Answered by
28
Answer :
This equation shows the Change in enthalpy.
∆H=∆U+∆nRT
proof
Pv = nRT
so let us consider that ,
vA = nA
and
vB = nB.
so we get,
p(vB - vA) = (nB - nA) RT
So ,
P∆V = ngRT
∆H=∆U +p∆v
Proved !!
condition : ∆u=∆H
at constant temperature
T = 0
now let's put the value of T equal to zero in the above equation :
and we get the following results.
∆H=∆U+∆nRT
(putting the value of T = 0 )
∆H=∆U
reason:
under isothermal condition value of temperature becomes constant so in order to make change in enthalpy equal to change in internal energy an isothermal condition should be created.
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