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
• E. 12 cc

Answer 1

Answer: (C)

$ 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 $