A liquid compressed in a cylinder has a volume of 1000 cm 3 at 1
| A liquid compressed in a cylinder has a volume of 1000 cm3 at 1 MN/m2 and a volume of 995 cm3 at 2 MN/m2. What is the bulk modulus of elasticity?
A. 200 GPa
B. 200 MPa
C. 400 GPa
D. 400 MPa
Please scroll down to see the correct answer and solution guide.
Right Answer is: B
SOLUTION
Given:
V1 = 1000 cm3, V2 = 995 cm3, k = ?
Bulk modulus (K) \( = \frac{{ - {\rm{\Delta }}P}}{{\left( {\frac{{{\rm{\Delta }}V}}{V}} \right)}}\)
ΔV = change in volume = V2 – V1
ΔP = change in pressure = P2 – P1
∴ \(k = \frac{{ - \left( {2 - 1} \right)}}{{\frac{{\left( { - 1000 + 995} \right)}}{{1000}}}}\)
∴ k = 200 MPa