Question

The compressibility of water is $6\times {{10}^{-10}}{{N}^{-1}}{{m}^{2}}$ . If one litre is subjected to a pressure of $4\times {{10}^{7}}N{{m}^{-2}},$ the decrease in its volume is

• A. 2.4 cc
• B. 10 cc
• C. 24 cc
• D. 15 cc

Answer 1

Answer: (C)

24 cc

Answer 2

$B=\frac{1}{compressibility}=\frac{pV}{dV}$
$\frac{1}{6\times {{10}^{-10}}}=\frac{4\times {{10}^{7}}\times 1}{dV}$
$dV=24\times {{10}^{-3}}litre$
$=24\text{ }cc$