The isothermal bulk modulus of a perfect gas at normal pressure is

It is found that an increase in pressure of $100 \, kPa$ causes a certain volume of water to decrease by $5 \times 10^{-3}$ percent of its original volume. Then the speed of sound in the water is about .... $m/s$ (density of water $10^3 \, kg/m^3$)

$A$ spherical ball contracts in volume by $0.02 \%$,when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............... $N / m^2$.

$A$ uniform cube is subjected to volume compression. If each side is decreased by $1\%$,then the bulk strain is

What is the density of water at a depth where pressure is $80.0 \; atm$, given that its density at the surface is $1.03 \times 10^{3} \; kg \; m^{-3}$? (Take bulk modulus of water $B = 2.2 \times 10^{9} \; Pa$ or compressibility $45.8 \times 10^{-11} \; Pa^{-1}$)

The compressibility of water per unit atmospheric pressure is $\sigma$. If there is a decrease in volume $V$ due to an applied pressure $P$,find the change in volume.