The increase in pressure required to decrease the volume of a water sample by $0.2 \%$ is $\mathrm{P} imes 10^5 \mathrm{Nm}^{-2}$. Bulk modulus of water is $2.15 imes 10^9 \mathrm{Nm}^{-2}$. The value of P is $\ldots\ldots$

Question

The increase in pressure required to decrease the volume of a water sample by $0.2 \%$ is $\mathrm{P} 	imes 10^5 \mathrm{Nm}^{-2}$. Bulk modulus of water is $2.15 	imes 10^9 \mathrm{Nm}^{-2}$. The value of P is $\ldots\ldots$

Aicharya · Accepted Answer

Since bulk modulus is given as
$\begin{aligned}
& \mathrm{B}=\frac{-\Delta \mathrm{P}}{\left(\frac{\Delta \mathrm{~V}}{\mathrm{~V}}\right)} \\ & 2.15 \times 10^9=\frac{-\Delta \mathrm{P}}{-\left(\frac{0.2}{100}\right)} \\ & \Delta \mathrm{P}=2.15 \times 10^9 \times 2 \times 10^{-3} \\ & =4.3 \times 10^6=43 \times 10^5 \mathrm{~N} / \mathrm{m}^2
\end{aligned}$

The increase in pressure required to decrease the volume of a water sample by $0.2 \%$ is $\mathrm{P} \times…

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