A sample of a liquid is kept at 1 atm. It is compressed to 5 atm… | JEE Main 2025 (8 Apr, Shift 2)

Q5JEE Main 2025 · 8 APR · SHIFT 2Easy

Density, Compressibility & Pascal's Law

A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 cm3. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was _______ litre. (Take 1 atm = 105 Pa)

Numerical answer type. Work it out, then open the answer.

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Answer: 4

$B = \dfrac{\Delta P}{\Delta V/V} \Rightarrow V = \dfrac{B\,\Delta V}{\Delta P}$
$\Delta P = 4\text{ atm} = 4\times10^5\text{ Pa}$ , $\Delta V = 0.8\times10^{-6}\text{ m}^3$ .
$V = \dfrac{2\times10^9\times0.8\times10^{-6}}{4\times10^5} = 4\times10^{-3}\text{ m}^3 = 4\text{ L}$
So the initial volume is 4 litre.

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