Question

The bulk modulus of a material is 3.5 ✕ 1011 N/m2. What percent fractional change in volume does a piece of this material undergo when it is subjected to a bulk stress increase of 107 N/m2? Assume that the force is applied uniformly over the surface.

Answer 1

percentage change in volume = 0.00285 %

Step-by-step explanation:

given data

bulk modulus = 3.5 ×
`10^(11)` N/m²

bulk stress =
`10^(7)` N/m²

solution

we will apply here bulk modulus formula that is

bulk modulus =
`(bulk\ stress)/(bulk\ strain)` ...............1

put here value and we get

3.5 ×
`10^(11)` =
`(10^7)/(bulk\ strain)`

solve it we get

bulk strain = 2.8571 ×
`10^(-5)`

and

bulk strain =
`(change\ volume)/(original\ volume)`

so that percentage change in volume is = 2.8571 ×
`10^(-5)` × 100

percentage change in volume = 0.00285 %