Question

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

• A. $0.4cc$
• B. $4\times {10}^{-5}cc$
• C. $0.025cc$
• D. $0.004cc$

Answer 1

The correct option is A $0.4cc$

Compressibility$\left(\beta \right)=\frac{\frac{△V}{V}}{P}$

Here,

$\beta =4\times {10}^{-5}/atm$

$V=100cc$

$P=100atm$

$\therefore △V=\beta PV$

$=4\times {10}^{-5}\times 100\times 100$

$\therefore △V=0.4cc$