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In my book it is written as

$GASEOUS$ $STATE$ : The state is characterized by sensitivity of volume change with change of pressure and temperature.

Now my doubt is that are volume of $solids$ & $liquid$ totally independent of pressure??

I searched on internet but do not get any proper answer .

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No, the volume of liquids and solids does depend on pressure. However, the volume of gases is drastically more sensitive to pressure. (This property is known as compressibility.)

In most contexts, the dependence of volume on pressure for liquids and especially solids is considered negligible (that is, most liquids and solids are approximately incompressible). In mathematical terms, this means $\frac{dV}{dP} \approx 0$ (the rate of change of volume with respect to pressure is essentially zero).

As before stated, the volume of gases depends significantly on pressure. In fact, in the ideal gas model (a good approximation for most gases), the two "state variables" are inversely proportional: $V \propto \frac{1}{P}$ (Boyle's Law).

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