Chemistry & Materials Science

Bulk Modulus Calculator

Determine the exact Bulk Modulus of a substance to measure its resistance to uniform compression under applied hydrostatic pressure.

Pa
Bulk Modulus (K)
0.200 GPa
Modulus in MPa200.00 MPa

Calculated locally in your browser. Fast, secure, and private.

The Physics of Compression

If you take a block of steel and drop it to the bottom of the Mariana Trench, the immense hydrostatic pressure of the deep ocean will push in on the steel from every possible direction simultaneously.

Does the steel block shrink? Yes, but only microscopically.

The Bulk Modulus (KK) measures a substance's resistance to uniform, all-around compression.

  • A High Bulk Modulus means the substance is nearly incompressible (like liquid water or solid steel).
  • A Low Bulk Modulus means the substance is easily squished into a smaller volume (like a balloon filled with air).

The Equation

The formula calculates the ratio of the pressure you applied versus the physical percentage of volume that the object lost.

K=V0ΔPΔV\begin{aligned} K = -V_0 \frac{\Delta P}{\Delta V} \end{aligned}

Where:
K=
Bulk Modulus (Pascals)
V0V_0=
Initial Volume
ΔP\Delta P=
Change in Applied Pressure
ΔV\Delta V=
Change in Volume (Negative for compression)

Note the negative sign in the equation! Because compressing an object causes its volume to decrease (making ΔV\Delta V a negative number), the extra negative sign flips the final result so that the Bulk Modulus is always a positive value.

Frequently Asked Questions

No, that is a common physics myth! While liquids like water have a massive Bulk Modulus (about 2.2 GPa), they do compress if you apply enough pressure. The water at the bottom of the ocean is slightly denser than the water at the surface.

Compressibility (often denoted by β\beta) is simply the exact mathematical inverse of the Bulk Modulus (1/K1 / K). A high bulk modulus means low compressibility.

Yes, but because gases are incredibly easy to squish, their Bulk Modulus is extremely low. Furthermore, a gas's Bulk Modulus changes drastically depending on whether the compression is Isothermal (constant temperature) or Adiabatic (no heat escapes).