Spirit in a bowl evaporates at a rate th...

Spirit in a bowl evaporates at a rate that is proportional to the surface area of the liquid. Initially, the height of liquid in the bowl is `H_(0)`. It becomes `(H_(0))/(2)` in time `t_(0)`. How much more time will be needed for the height of liquid to become `(H_(0))/(4)`

Text Solution

Verified by Experts

The correct Answer is:

`(t_(0))/(2)`

Topper's Solved these Questions

CALORIMETRY
ARIHANT|Exercise Level 3|1 Videos

Similar Questions

Explore conceptually related problems

If the surface tension of a liquid is 5 N/m then the surface energy of the liquid film on a ring of area 0.15 m^(2) is

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant k is positive). suppose that r(t) is the radius of the liquid cone at time t.The time after which the cone is empty is

An inverted cone of height H , and radius R is pointed at bottom. It is completely filled with a volatile liquid. If the rate of evaporation is directly proportional to the surface area of the liquid in contact with air (constant of proportionality k gt 0). Find the time in which whole liquid evaporates.

The small orifice between two communicating vessels have area 1 sq. cm. The surface area of horizontal sections of the first and the second vessel are 10m^2 and 5m^2. Initially the level of liquid in the first and second vessel is 15 m and 5 m from the orifice. Given that velocity of liquid flow is v= sigma sqrt(2g(h_(1)-h_(2))) m/s, where h_1 and h_2 is the height of liquid in the two vessels, then the time required for the liquid to reach the same level is 10^t/(15 sigma sqrt(20g), where t is equal to _?

Two capillary tubes of radii 0.2 cm and 0.4 cm are dipped in the same liquid. The ratio of height through which liquid will rise in the tube is

Prove that the average pressure of a liquid (density p) on the walls of the container filled upto height h with liquid is 1/2 h rhog .

A hemispherical bowl of radius 9 cm contains a liquid. This liquid is to be filled into cylindrical small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bowl ?

ARIHANT-BASIC MATHS-Basic Maths

A particle moves along the curve 6y = x^(3)+2. Find the points on th...
Text Solution
|
The area of a regular octagon of side length a is A. (a) Find the t...
Text Solution
|
Spirit in a bowl evaporates at a rate that is proportional to the surf...
Text Solution
|
Show that the volume of a segment of height h of a sphere of radius R...
Text Solution
|
The amount of energy a car expends against air resistance is approxima...
Text Solution
|
The volume flow rate Q ("in m"^(3) s^(-1)) of a liquid through pipe ha...
Text Solution
|
The potential energy (U) of a particle can be expressed in certain cas...
Text Solution
|
In the following expression V and g are speed and acceleration respect...
Text Solution
|
The maximum height of a mountain on earth is limited by the rock flowi...
Text Solution
|
A particle of mass m is given an initial speed V(0). It experiences a ...
Text Solution
|
Assume that maximum mass m(1) of a boulder swept along by a river, dep...
Text Solution
|
A massive object in space causes gravitational lensing. Light from a d...
Text Solution
|
The Casimir effect describes the attraction between two unchanged cond...
Text Solution
|
Scattering of light is a process of absorption and prompt re-emission ...
Text Solution
|
It is given that int (dx)/(1+x^(2))=tan^(-1) x+c . Using methods of di...
Text Solution
|
Two point sources of light are fixed at the centre (A) and circumferen...
Text Solution
|
The speed (V) of wave on surface of water is given by V=sqrt((a lam...
Text Solution
|
The line of sight of the brightest star in the sky, Sirius has a max...
Text Solution
|
You inhale about 0.5 liter of air in each breath and breath once in ev...
Text Solution
|
A rope is tightly wound along the equator of a large sphere of radius ...
Text Solution
|