The compressibility of water per unit atmosph | vedclass

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Question

(A) The bulk modulus $B$ is defined as the ratio of volumetric stress to volumetric strain: $B = -\frac{P}{\Delta V / V}$.The compressibility $\sigma$

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$\sigma P V$

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(A) The bulk modulus $B$ is defined as the ratio of volumetric stress to volumetric strain: $B = -\frac{P}{\Delta V / V}$.The compressibility $\sigma$ is the reciprocal of the bulk modulus: $\sigma = \frac{1}{B} = -\frac{\Delta V / V}{P}$.Given that there is a decrease in volume $V$ due to pressure $P$,we consider the magnitude of the change in volume $\Delta V$: $\sigma = \frac{\Delta V}{PV}$.Rearranging the formula to solve for the change in volume $\Delta V$,we get: $\Delta V = \sigma PV$.

The compressibility of water per unit atmospheric pressure is $\sigma$. If there is a decrease in volume $V$ due to an applied pressure $P$,find the change in volume.

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