Question

18. The compressibility of water is 4x10 per unit atmospheric pressure. The decrease in volume of 100 cubic
centimeter of water under a pressure of 100 atmosphere will be
(a) 0.4 cc
(b) 4x10cc
(c) 0.025 cc
(d) 0.004 cc​

Answer 1

-ve sign indicates that volume is decrease

answer: (a) 0.4 cc

Answer 2

The change in volume is 0.4 cc.

(a) is correct option.

Explanation:

Given that,

Compressibility of water $C= 4\timea10^{-5}\ \text{per unit atmospheric pressure}$

Decrease volume = 100 v

Pressure = 100 atm

We need to calculate the change in volume

Using formula of compressibility

$C=\dfrac{\dfrac{\Delta V}{V}}{P}$

Where, V = volume

P = pressure

C = compressibility

Put the value into the formula

$4\times10^{-5}=\dfrac{\dfrac{\Delta V}{100}}{100}$

$4\times10^{-5}\times100\times100=\Delta V$

$\Delta V=0.4\ cc$

Hence, The change in volume is 0.4 cc.

Learn more :

Topic : compressibility

https://brainly.in/question/5106845