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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
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B
4×105cc
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C
0.025 cc
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D
0.004 cc
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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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