IIT JEE , AIEEE Forum - Physics , Mechanics

shiva6

why does bulk modulus of a gas depends on the process the gas has undergone?

is there any proof along with ur explanation

anil_kapoor

tats simple common sense logic....
i dont know any proof ..sry
if u cme across any such proof .........plz nudge me.

waterdemon

Hello,

I actually do not get your question so trying to explain it to
you.

Bulk Modulus:

When a solid or fluid (liquid or gas) is subjected to a uniform
pressure all over surface,such that the shape remains the
same,then there is a change in volume.

The Force per unit area applied uniformly over the surface
of the body is called as "Normal Stress".

The change in volume per unit volume is known as "Volume-
Strain".

The Ratio of "Normal stress" to "Volume Strain" with the
elastic limits is called as "BULK MODULUS".

It is denoted by "K"

K = FV/A

V

Now as per my explanation given above it is understood
that the "Bulk Modulus" depends on:
"The process that the gas undergoes"

Hope you find it useful.
Rate me if useful.

Cheers!!!!!!!!@@@!!!!!!!!!

rhd92781

B=- dP/(dV/V)
now the relation bw dp and dV/V depends on the process

for a process PV^x = constant,
dP/dV = -xP/V

so clearly, Bulk modulus of a gas depends on the process

krishna.gopal

Perfect rhd. Shiva you know gases folow ideal gas equation. Apply definition of bulk modulus to ideal gas and you will find that it is path dependent as rhd has done

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