Determine the volume contraction of a solid copper cube, 10 cm on an edge when subjected to hydraulic pressure of `7 xx 10^(6)Pa`. Bulk modulus of copper = 140 Gpa.

Explanation

Here, `L = 10cm = 10^(-1)m, V = L^(3) = 10^(-3) m^(3)` ,
`Delta P = 7.0xx10^(6) Pa, K = 140G Pa = 140xx10^(9) Pa`.
As `K = (Delta P V)/(Delta V)`
`Delta V = (Delta P V)/(K) = ((7.0xx10^(6))(10^(-3)))/((140xx10^(9))) = 5xx10^(-8) m^(3)`