Question

A volume of 1 m3 of water is subjected to a pressure increase of 15 MPa, compute the change in its volume if it has a bulk modulus of elasticity of 2100 MPa

Answer 1

Answer:

102078

Explanation:

102078

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Answer 2

Answer:

The water's change in the volume, ΔV, measured is $-0.00714$.

Explanation:

Given,

The initial volume of water, V = $1m^{3}$

The change in pressure, ΔP = $15MPa$

The bulk modulus of elasticity, k = $2100MPa$

The change in the volume of water, ΔV =?

Now, we can find out the change in volume of water by using the formula of bulk modulus of elasticity given below:

• k = $-V\times\frac{\Delta P}{\Delta V}$
• ΔV = $-V\times\frac{\Delta P}{k}$

After putting the given values in the equation, we get:

• ΔV = $-1\times\frac{15}{2100}$ = $-0.00714$

Hence, the change in the volume of water, ΔV = $-0.00714$.