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The compressibility of water is 6 xx 10^...

The compressibility of water is `6 xx 10^(-10)m^(2)//N`. If one litre of water is subjected to a pressure of `4 xx 10^(7) N//m^(2)`, then the decrease in volume will be

A

10 mL

B

15 mL

C

20 mL

D

24 mL

Text Solution

Verified by Experts

The correct Answer is:
D
Bulk modulus `K = (-V dP)/(dv)`
`:.` Compressibility (C ) `= (1)/(K) = (dV)/(V dP)` (numerically)
`:. dV = VdPC`
`= 1 xx 4 xx 10^(7) xx 6 xx 10^(-10) = 24 xx 10^(-3)` litre
`= 24 xx 10^(-3) xx 10^(3) c c = 24 c c` or 24 mL
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