Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

What is meant by Compressibility?

What is meant by Compressibility?

Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
9 years ago

In thermodynamics and fluid mechanics, compressibility is a measure of the relative volume change of a fluid or solid as a response to a pressure (or mean stress) change.

\beta=-\frac{1}{V}\frac{\partial V}{\partial p}

where V is volume and p is pressure

Note: most textbooks use the notation κ for this quantity

The above statement is incomplete, because for any object or system the magnitude of the compressibility depends strongly on whether the process is adiabatic or isothermal. Accordingly isothermal compressibility is defined:

\beta_T=-\frac{1}{V}\left(\frac{\partial V}{\partial p}\right)_T

where the subscript T indicates that the partial differential is to be taken at constant temperature

Adiabatic compressibility is defined:

\beta_S=-\frac{1}{V}\left(\frac{\partial V}{\partial p}\right)_S

where S is entropy. For a solid, the distinction between the two is usually negligible.

The inverse of the compressibility is called the bulk modulus, often denoted K (sometimes B). That page also contains some examples for different materials.

The compressibility equation relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free