When the air temperature is -10^(@)C, th...

When the air temperature is `-10^(@)C`, the ice on a large shallow lake in creases by `1cm` in `12 minutes`. Find the thermal conductivity of ice. (Density of ice `=900kgm^(-3)` and `L=330xx10^(3)Jkg^(-1)`)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

COMPOSITION AND RESOLUTION OF VELOCITIES
NN GHOSH|Exercise Exercise|25 Videos
DOPPLER EFFECT
NN GHOSH|Exercise EXERCISES|24 Videos

Similar Questions

Explore conceptually related problems

Calculate the rate of increment of the thickness of the layer of ice on a lake when the thickness of is 20cm and the air temperature is -40^(@)C . Thermal conductivity of ice =1.68Ks^(-1)m^(-1)K^(-1) , density of ice 920kgm^(-3) and latent heat capacity of ice =336xx10^(3)Jkg^(-1)K^(-1) .

A cabe of iron (density = 8000kg m^(-1) specific beat capacity = 470g J kg^(-1)K^(-1)) is heated to a high temperature and is placed on a larger block of ice at 0^(@)C The cubemelts the ice below it displaces the water and sinks in the final equilibriumposition its upper surface just inside the ice calculate th initial temperature of the cube .Noglect any loss of head outside the ice and the cube .The density of ice = 900 kg m^(-1) and the latent head of fasion of ice = 3.36 xx 10^(5)J kg^(-1)

A lake is covered with ice 5 cm thick and the atmospheric temperature above the ice is – 10^(@)C . At what rate (in cm/hour) will the ice layer thicken? Thermal conductivity of ice = 0.005 cgs unit, density of ice = 0.9 g//cc and latent heat of fusion of ice = 80 cal/g.

A cubical thermocol ice box of side length 30cm has thichess of 5.0cm If 4.0kg of ice is put in the box estimate the amount of ice remaining after 6hr The utside temperature is 45^(@)C and co-efficinet of the thermal conductivity of the thermocol is 0.01 J s^(-1) m^(-1) K^(1) (Latent Heat of fusion of water =335 xx 10^(3) Jkg^(-1)) .

The thickness of ice in a lake is 5cm and the atmospheric temperature is 10^(@)C Calculate the time rquired for the thickness of ice to grow to 7cm Therml conductivity for ice =4 xx 10^(-3) cal cm^(-1) s^(-1) c^(-10 density of ice =0.92 g //cm^(3) and latent heat of fusion of ice =80 cal//g .

A layer of ice 29 cm thick has formed on a pond. The temperature of air is -10^(@)C . Find how long will it take for another 0.1 cm layer of water to freeze? Conductivity of ice = 2.1 J s^(-1)m^(-1)K^(-1) . Latent heat capacity of ice =3.36 xx 10^(5) J kg^(-1) and density of ice = 1000 kg m^(-3) .

A lake surface is exposed to an atmosphere where the temperature is lt 0^(@)C . If the thickness of the ice layer formed on the surface grows form 2cm to 4cm in 1 hour. The atmospheric temperature, T_(a) will be- (Thermal conductivity of ice K = 4 xx 10^(-3) cal//cm//s//.^(@)C , density of ice = 0.9 gm//ice. Latent heat of fustion of ice = 80 cal//m . Neglect the change of density during the state change. Assume that the water below the ice has 0^(@) temperature every where)

A hollow cube of metal has sides measuring 0.8cm (internal) and thickenes 0.5cm . It is filled with ice 0^(@)C and immersed in boiling water at 100^(@)C . How many kg of ice will melt in one minute? Thermal conductivity of metal =252Jm^(-1)s^(-1)K^(-1) and latent heat capacity of ic e =336xx10^(3)Jkg^(-1) .

The ice is filled in a hollow glass sphere of thickness 2mm and external radius 10cm . This hollow glass sphere with ice now placed in a bath containing boiling water at 100^(@)C . Calculate the rate at which ice melts. Neglect volume change in ice. (Given, thermal conductivity of glas 1.1W//m//K , latent heat of ice =336xx10^(3)J//kg)

A hollow glass sphere whose thicknes is 2mm and external radius is 10cm is filled with ice and placed in a bath containing boiling water at 100^(@)C . Calculate the rate of which the ice melts. Thermal conductivity of glass =1.1Js^(-1) m^(-1) K^(-1) and L of ice =336xx10^(3)Jkg^(-1) .

NN GHOSH-CONDUCTION OF HEAT AND RADIATION-All Questions

Two flat metal plates area placed with their surfaces in contact and t...
Text Solution
|
Calculate the rate of increment of the thickness of the layer of ice o...
Text Solution
|
When the air temperature is -10^(@)C, the ice on a large shallow lake ...
Text Solution
|
There slabs of thickness d(1), d(2), d(3) and thermal conductivites la...
Text Solution
|
Two rods of material, x and two of y are connected as shown in the fig...
Text Solution
|
A solid copper sphere (density =8900kgm^(-3) and specific heat C=390Jk...
Text Solution
|
The radiancy of a black body is M(e)=3.0W//cm^(2). Find the wavelength...
Text Solution
|
A thin wire of length l=50cm and area of cross-section S=3xx10^(-4)m^(...
Text Solution
|
A furnace is at a temperature of 2000K. At what wavelength does it emi...
Text Solution
|
A slab consists of two parallel layers of different materials 4cm and ...
Text Solution
|
Heat is conducted through a slab composed of paralel layers of two dif...
Text Solution
|
Calculate the thermal resistance of an aluminium rod of length 20cm an...
Text Solution
|
Show that if three slabs of thermal resistance R(1), R(2) and R(3) are...
Text Solution
|
A hollow cube of metal has sides measuring 0.8cm (internal) and thicke...
Text Solution
|
A hollow glass sphere whose thicknes is 2mm and external radius is 10c...
Text Solution
|
Three rods of material x and three of material y are connected as show...
Text Solution
|
A closed cubical box is made of perfectly insulating material and the ...
Text Solution
|
A room at 20^@C is heated by a heater of resistence 20 ohm connected t...
Text Solution
|
Two chunks of metal with heat capacities C(1) and C(2), are interconne...
Text Solution
|
Two rods whose lengths are l1 and l2 and heat conductivity coefficien...
Text Solution
|