Question

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Answer 1

given, Hydraulic pressure exerted on the glass slab , P = 10atm = 10 × 1.013 × 10^5 N/m²
= 1.013 × 10^6 N/m²

we know bulk modulus is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.

e.g., $\beta=\frac{P}{\textbf{fractional change in volume}}$
where $\beta$ is bulk modulus .

from data, bulk modulus of glass slab, $\beta$ = 3.7 × 10^10 N/m²

so, 3.7 × 10^10 = 1.013 × 10^6/fractional change in volume
fractional change in volume = 1.013 × 10^6/(3.7 × 10^10)
= 2.73 × 10^-5

Answer 2

Answer:

K = 37 ✖ 10^9

K = FV / A delta V

Delta V / V = P / K

After that you can see in the pic...