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))

Determine the volume contraction of a solid copper cube, 10 cm on an e

1.	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))
Answer» Solution :`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) Nm^(-2)` then snawer of textbook will be `Delta V=0.058 cm ^(3)`