A sample of a liquid is kept at 1 atm. It is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given: Initial pressure $(P_i) = 1 \ atm$,Final pressure $(P_f) = 5 \ atm$.Change in pressure $(dP) = P_f - P_i = 4 \ atm = 4 	imes 10^5 \ Pa$.Ch

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) Given: Initial pressure $(P_i) = 1 \ atm$,Final pressure $(P_f) = 5 \ atm$.Change in pressure $(dP) = P_f - P_i = 4 \ atm = 4 	imes 10^5 \ Pa$.Change in volume $(dV) = -0.8 \ cm^3 = -0.8 	imes 10^{-6} \ m^3$.Bulk modulus $(B) = 2 \ GPa = 2 	imes 10^9 \ Pa$.The formula for bulk modulus is $B = -\frac{dP}{dV/V}$,which implies $V = -\frac{B \cdot dV}{dP}$.Substituting the values: $V = -\frac{2 	imes 10^9 	imes (-0.8 	imes 10^{-6})}{4 	imes 10^5}$.$V = \frac{1.6 	imes 10^3}{4 	imes 10^5} = 0.4 	imes 10^{-2} \ m^3 = 4 	imes 10^{-3} \ m^3$.Since $1 \ m^3 = 1000 \ litres$,$V = 4 	imes 10^{-3} 	imes 1000 = 4 \ litres$.

$A$ sample of a liquid is kept at $1 \ atm$. It is compressed to $5 \ atm$,which leads to a change of volume of $0.8 \ cm^3$. If the bulk modulus of the liquid is $2 \ GPa$,the initial volume of the liquid was . . . . . . litre. (Take $1 \ atm = 10^5 \ Pa$)

Similar Questions

How much should the pressure on a litre of water be changed to compress it by $0.10\%?$

Given: $\sigma$ is the compressibility of water,$\rho$ is the density of water,and $K$ is the bulk modulus of water. What is the energy density of water at the bottom of a lake $h$ metre deep?

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

The average depth of an oil well is $2000 \, m$. If the bulk modulus of oil is $8 \times 10^8 \, N/m^2$ and the density of oil is $1500 \, kg/m^3$, the fractional compression at the bottom of the well is (take $g = 10 \, m/s^2$): (in $\%$)

$A$ 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 ............... $N / m^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module