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posted by  Tman1235 on 11/6/2009 11:31:45 PM  |  status: Closed  |  Earned Karma: 50

Pressure

Course Textbook Chapter Problem Needs by
Calculus Based Physics N/A 12 N/A 11/9/2009 at 12:00:00 PM
Question Details:
How large a pressure increase (in ATM) must be applied to water if it is to be compressed in volume by 4% ? The bulk modulus of water is 2x109 N/m2 and 1 ATM = 105 N/m2.
A.) 80 ATM
B.) 800 ATM
C.) 8000 ATM
D.) 760 ATM
E.) 770 ATM
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posted by D.J84 (MNK) on 11/6/2009 11:53:10 PM  |  status: Live
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Response Details:
let pressure increased=Δp

volume stress=increase in pressure
volume strain=change in volume/original volume

let original volume of water=100*V
new volume=96*V
change in volume=4*V

volume strain=(4*V)/(100*V)=1/25

bulk modulus=volume stress/volume strain=Δp/(1/25)
2*109=25*Δp
Δp=8*107 N/m2=800 ATM

answer is B)800 ATM
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