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The Bulk Modulus of Elasticity with Increase in Pressure

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The bulk modulus of elasticity with increase in pressure__________.

  1. Increases
  2. Decreases
  3. Remains constant
  4. None of the above 

Answer: A- Increases

The bulk modulus of elasticity with an increase in pressure increases.

Solution:

Like elastic solids, fluids also have elastic properties. Fluid compressibility is quantifiably given as the reciprocal of the bulk modulus of elasticity, K.

Bulk modulus K is defined as,

K = stress/strain = Change in pressure/(change in volume/ Original volume) = -[dp/(dV/V)]

A fluid’s bulk modulus (K) is not constant but rises as pressure rises.

  • K lowers as temperature rises for liquids.
  • K rises with rising temperature for gases.

Hence the bulk modulus of elasticity with an increase in pressure increases.

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