Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of `7.0 xx 10 ^(6)` Pa. (Bulk Modulus `B=1.4xx 10 ^(11)`)

Explanation

`B =- (pV)/(Delta V) implies Delta V =- (pV)/(B) = - (7xx 10 ^(6) xx L ^(3))/( 1.4 xx 10 ^(11))`
`therefore Delta V =- (7 xx 10 ^(6) xx 10 ^(-3))/( 1.4 xx 10 ^(11)) = - 5 xx 10 ^(-8) m ^(3)`
`therefore Delta V =- 0.05 xx 10 ^(-6) m ^(3) =- 0.05 cm ^(3)`
Note : IF bulk modulus is taken as `B = 1.2 xx 10 ^(11) N m^(-2)` then snawer of textbook will be `Delta V=0.058 cm ^(3)`