Bulk modulus of a material is given by B = -dP/(dV/V). Prove that Bulk modulus for adiabatic process = γP. (For adiabatic process PV^γ = K)

Can anybody explains all the steps?

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- Jun 29th 2008, 05:31 AMfardeen_gen[SOLVED] Proof using calculus?
Bulk modulus of a material is given by B = -dP/(dV/V). Prove that Bulk modulus for adiabatic process = γP. (For adiabatic process PV^γ = K)

Can anybody explains all the steps? - Jun 29th 2008, 05:41 AMflyingsquirrel
- Jun 29th 2008, 05:59 AMfardeen_gen
I cant. I started with calculus just two days ago after finishing trigo two days ago. Pls conclude.

- Jun 29th 2008, 06:02 AMfardeen_gen
Is d ln u = ln u / u a property of derivatives?

- Jun 29th 2008, 06:03 AMfardeen_gen
I couldnt understand ur second step at all! Please explain!

- Jun 29th 2008, 06:08 AMfardeen_gen
How is d ln K = zero?

P.S. I dont seem to know a thing. Sigh... - Jun 29th 2008, 06:38 AMflyingsquirrel
I've edited my previous post.

You don't know how to do a division ? :D

Yes. For , is defined by and as you get the expected equality. (Note that in this exercise we're in the particular case where : we're working with and )

See my previous post. (edited)

Quote:

Originally Posted by**fardeen_gen**