Question

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

A
0.4 cc
B
4×105cc
C
0.025 cc
D
0.004 cc

Solution

## The correct option is A $$0.4\ cc$$Compressibility$$(\beta)=\cfrac{\cfrac{\triangle V}{V}}{P}$$Here,$$\beta=4 \times {10}^{-5}/atm$$$$V=100\quad cc$$$$P=100\quad atm$$$$\therefore \triangle V=\beta PV$$$$=4 \times {10}^{-5} \times 100 \times 100$$$$\therefore \triangle V=0.4cc$$Physics

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