Calculate the Volume at this pressure.

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To calculate the volume of one cubic meter of water under an absolute pressure of 7000 kPa, the bulk modulus of water, approximately 2.2 GPa, is essential. The relevant equation involves the relationship between pressure change and volume change, expressed as E = - dp / (dV/V). The solution to the differential equation yields a volume of approximately 0.99682 cubic meters. Understanding compressibility and elasticity is crucial for solving this problem. The discussion emphasizes the importance of applying the correct equations to determine volume changes under pressure.
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Homework Statement


One cubic metre of water is placed under an absolute pressure of 7000 kPa. Calculate the volume at this pressure.


Homework Equations


E = - dp / (dV/V)


The Attempt at a Solution



The answer is .99682 but I do not know how to get it. I believe that it has to do with Compressibility and Elasticity.
 
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Hint:

Solve the differential equation you have (relevant equation). E is the bulk modulus which is 2.2 gigaPa.
 

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