The compressibility of water is 6× 10-10N-1m2 . If one litre is subjected to a pressure of 4× 107Nm-2, the decrease in its volume is

Question

The compressibility of water is 6× 10-10N-1m2 . If one litre is subjected to a pressure of 4× 107Nm-2, the decrease in its volume is (A) 2.4 cc (B) 10 cc (C) 24 cc (D) 15 cc

Tardigrade Admin · Accepted Answer

B=(1/compressibility)=(pV/dV) (1/6× 10-10)=(4× 107× 1/dV) dV=24× 10-3litre =24 text cc

Q. 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

2.4 cc

10 cc

24 cc

15 cc

12 cc

$B = \frac{1}{co m p ress ibi l i t y} = \frac{p V}{d V}$
$\frac{1}{6 \times 10 ^{- 10}} = \frac{4 \times 10 ^{7} \times 1}{d V}$
$d V = 24 \times 10^{- 3} l i t re$
$= 24 cc$

Q. The compressibility of water is 6×10−10N−1m2 . If one litre is subjected to a pressure of 4×107Nm−2, the decrease in its volume is