There is an air bubble of radius 1.0,mm in a | vedclass

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

Question

(A) The pressure inside an air bubble at a depth $h$ in a liquid is given by the formula:$P = P_0 + h \rho g + \frac{2T}{r}$where $P_0$ is the atmosph

Vedclass · Accepted Answer

$1150$

Vedclass · Answer

(A) The pressure inside an air bubble at a depth $h$ in a liquid is given by the formula:$P = P_0 + h ho g + \frac{2T}{r}$where $P_0$ is the atmospheric pressure,$h$ is the depth,$ho$ is the density of the liquid,$g$ is the acceleration due to gravity,$T$ is the surface tension,and $r$ is the radius of the bubble.We need to find the excess pressure inside the bubble over the atmospheric pressure,which is $P - P_0 = h ho g + \frac{2T}{r}$.Given values:$h = 10\,cm = 0.1\,m$$ho = 1000\,kg\,m^{-3}$$g = 10\,m\,s^{-2}$$T = 0.075\,N\,m^{-1}$$r = 1.0\,mm = 10^{-3}\,m$Substituting these values into the equation:$P - P_0 = (0.1 	imes 1000 	imes 10) + \frac{2 	imes 0.075}{10^{-3}}$$P - P_0 = 1000 + \frac{0.15}{10^{-3}}$$P - P_0 = 1000 + 150 = 1150\,Pa$.

Similar Questions

$A$ spherical drop of water has a radius of $1\, mm$. If the surface tension of water is $70 \times 10^{-3}\, N/m$,the difference of pressure between the inside and outside of the spherical drop is ........ $N/m^2$.

Assume that a drop of liquid evaporates by a decrease in its surface energy,such that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is $T$,the density of the liquid is $\rho$,and $L$ is its latent heat of vaporization.

Two spherical soap bubbles of radii $r_1$ and $r_2$ in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:

Two soap bubbles of radii $r_1$ and $r_2$ coalesce in vacuum under isothermal conditions to form a bigger bubble of radius $R$. What is the radius of the bigger bubble?

Under isothermal condition, two soap bubbles of radii $r_1$ and $r_2$ combine to form a single soap bubble of radius $R$. If $P$ is the external pressure and $T$ is the surface tension of the soap solution, find the expression for $T$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module