Enter the initial volume, pressure increase, or final volume into the calculator to determine the missing variable.

Compressed Water Calculator

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Compressed Water Formula

The following equation is used to calculate the final volume of water under compression.

V_f = V_i * (1 - (P * 1e5 / K))
  • Where V_f is the final volume (m³)
  • V_i is the initial volume (m³)
  • P is the pressure increase (bar)
  • K is the bulk modulus of water (Pa)

To calculate the missing variable, rearrange the formula and input the known values.

What is a Compressed Water Calculator?

Definition:

A Compressed Water Calculator is a tool used to determine the missing variable—initial volume, pressure increase, or final volume—when water is subjected to an increase in pressure. It leverages the bulk modulus of water to quantify the resulting change in volume.

How to Calculate Compressed Water Variables?

Example Problem:

The following example outlines the steps and information needed to calculate the final volume of water under compression.

First, determine the initial volume. In this example, the initial volume is 1.000 m³.

Next, identify the pressure increase applied to the water. In this example, the pressure increase is 10 bar.

Finally, calculate the final volume using the formula above:

V_f = V_i * (1 - (P * 1e5 / K))

V_f = 1.000 * (1 - (10 * 1e5 / 2.2e9))

V_f ≈ 0.9995 m³

FAQ

What factors can affect the calculated compressed water values?

The calculated values can be influenced by the accuracy of the bulk modulus used, temperature variations, and measurement precision of the initial and final volumes.

How accurate is the bulk modulus value used in the calculations?

The bulk modulus for water (2.2×10⁹ Pa) is an approximate value and can vary slightly based on temperature and other environmental factors. For highly precise calculations, consider using a temperature-adjusted modulus.

Can this calculator be used for liquids other than water?

This calculator is specifically designed for water using its bulk modulus. For other liquids, a different bulk modulus and potentially adjusted formulas would be required.