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First pressure derivative of bulk modulus at zero pressure

by sirwan
Tags: bulk, derivative, modulus, pressure
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sirwan
#1
Nov29-13, 07:51 AM
P: 9
what is the physical meaning of first pressure derivative of bulk modulus at zero pressure. if it is ∂k/∂p, i say how it change with pressure, if it is at zero pressure?
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DrDu
#2
Nov29-13, 09:25 AM
Sci Advisor
P: 3,593
It means $\partial k/\partial p|_{p=0}=\im_{\Delta p \to 0}(k(0+\Delta p)-k(0))/\Delta p$
I.e. it is the change of bulk modulus when you increase the pressure slightly starting at p=0.
This is analogous to asking about the accelleration of a car dv/dt at zero speed.


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