1.

Compressibility of water is `5 xx 10^(-10) m^(2) N^(-1)`. The change in volume of 100 mL water subjected to `15 xx 10^(6)` Pa pressure will beA. increases by 0.75 mLB. decreases by 1.50 mLC. increases by 1.50 mLD. decreases by 0.74 mL

Answer» Correct Answer - d
The reciprocal of bulk modulus B is called compressibility
Since, `B = ("Change in pressure")/("volume strain")`
`implies K = ("Volume strain")/("Change in pressure")`
Given, `K = 5 xx 10^(-10) m^(2) N^(-1), Delta P = 15 xx 10^(6) Pa`
volume strain `= K xx` change in pressure
`:.` volume strain `= 5 xx 10^(-10) xx 15 xx 10^(8)`
`implies` volume strain `= 75 xx 10^(-4) mL`
`(Delta V)/(V) = 75 xx 10^(-4)`
`implies (Delta V)/(100) = 75 xx 10^(-4)`
`implies Delta V = 0.7 mL`
so. decreases in volume by 0.75 mL


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