Question

When the pressure on a given mass of liquid is increased from 3.0 MPa to 3.5 MPa, the density
of the liquid increases from 500 kg/m to 501 kg/m'. What is the average value of bulk
modulus of the liquid over the given pressure range? ILJIET] Ans: - 250MPa
AR​

Answer 1

Bulk modulus,

K=ρ*dp/dρ

=(500 x(3.5-3.0)) /(501-500)

=250 MPa

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Answer 2

Answer:

250 MPa

Explanation:

As per the data given,

Pressure increases from 3 MPa to 3.5 MPa,

and density increases from 500kg/m to 501kg/m.

We have,

Bulk modulus(K) = volume stress/ volume strain

and also we have

K ∝ dp

i.e. if pressure increases bulk modulus also increases.

so,

K = ΔP/(ΔV/V°)

now, multiplying and dividing by mass (m)

∴ density = mass / volume

We get,

K= ΔP/(Δd/d).

now ,

K = (3.5 - 3.0 )/ (500-501/500)

K = 0.5*500 MPa

K = 250MPa

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