The bulk modulus of water is `2.3xx10^(9 )N//m^2.`
(a) Find its compressibility in the units `atm^(-1)`.
(b) How much pressure in atmospheres in needed to compress a sample of water by `0.1%`?

Answer

A, B, D

Explanation

Here, B = `2.3xx10^(9) N//m^(2)`
= `(2.3xx10^(9))/(1.01xx10^(5))`
= `2.27xx10^(4) atm`
(a) compressibility =`1/B =1/(2.27xx10^(4))=4.4xx10^(-5) atm^(-1)`
(b) Here, `(Delta V)/V = -0.1%= -0.001 `
Required increase in pressure ,
`(Delta p)=Bxx(- Delta V)/(V)`
`=2.27xx10^(4)xx0.001`
=22.7atm