Question

The compressibility of water is $4\times {10}^{-5}$ per unit atmospheric pressure. The decrease in volume of $100c{m}^3$ of water under a pressure of 100 atmosphere will be

• A. $0.4c{m}^3$
• B. $0.4\times {10}^{-5}c{m}^3$
• C. $0.025c{m}^3$
• D. $0.04c{m}^3$

Answer 1

The correct option is A $0.4c{m}^3$

Formula for compressibility
$\beta =-\frac{\Delta v}{vP}$ , Here $P=100$ atm
$\beta =4\times {10}^{-5}$ /atm
$v=100\times {10}^{-6}{m}^3$
Hence, $\Delta v=0.4c{m}^3$