A hollow cube of metal has sides measuri...

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)`.

Text Solution

Verified by Experts

The correct Answer is:

`[34.56 kg]`

Topper's Solved these Questions

HEAT TRANSFER
PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs with One or More Option Correct|20 Videos
HEAT AND THERMAL EXPANSION
PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMRICAL PROBLEMS FOR PREPARATION OF NSEP, INPhO & IPhO|82 Videos
Kinetic Theory of Gases and Gas Laws
PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSEP, INPhO & IPhO|64 Videos

Similar Questions

Explore conceptually related problems

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) .

A vessel of surface area 1m^(2) made of a copper sheet of thicknes 5mm is filled with melting ice and is immersed in water at 100^(@)C . Calculate the rate at which the ice melts. The conductivity of copper is 302.4Js^(-1)m^(-1)K^(-1) and the latent heat of fusion of ice is 336xx10^(3)Jkg^(-2)

hollow metal with side 0.5m and wall thickess 5 xx 10^(-3)m is filled with ice It is immersed in water tank maintained at 100^(@)C Calculate the amount of ice melted in 335sex (Conductivity of metal) = 0.5 W m^(-1) K^(-1) Letent heat of fusion of ice =335 xx 10^(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)

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 slab of stone area 3600 cm^(2) and thickness 10cm is exposed on the lower surface to steam at 100^(@)C A block of ice at 0^(@)C rest on upper surface of the slab. In one hour 4.8kg of ice is melted. The thermal conductivity of the stone in Js^(-1)m^(-1)k^(-1) is (latent heat of ice =3.36 xx 10^(5) J//Kg .

The lower surface of a slab of stone of face-area 3600cm^(2) and thickness 10cm is exposed to steam at 100^(@)C . A block of ice at 0^(@)C rests on the upper surface of the slab. 4.8g of ice melts in one hour. Calculate the thermal conductivity of the stone. Latent heat of fusion of ice =3.36xx10^(5) J kg^(-1)

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 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)) .

A piece of ice of mass of 100g and at temperature 0^(@)C is put in 200g of water of 25^(@) How much ice will melt as the temperature of the water reaches 0^(@)C ? The specific heat capacity of water = 4200 J kg ^(-1)K^(-1) and the latent heat of ice = 3.36 xx 10^(5)J kg^(-1)

PHYSICS GALAXY - ASHISH ARORA-HEAT TRANSFER -Unsolved Numerical Problems for Preparation of NSEP,INPhO&IPhO

Assume that a planet radiates heat at a rate proportional to the fourt...
Text Solution
|
The atmospheric temperature above a lake is below 0^(@)C and constant....
Text Solution
|
A hollow cube of metal has sides measuring 0.8cm (internal) and thicke...
Text Solution
|
The walls of a closed cubical box of edge 50cm are mdade of a material...
Text Solution
|
A 300 W lamp loses all its energy by emission of radiation from the su...
Text Solution
|
A blackened solid copper sphere of radius 2 cm is placed in an evacuat...
Text Solution
|
Two identical solid bodies one of aluminium and other of copper are he...
Text Solution
|
A solid copper sphere (density rho and specific heat c) of radius r at...
Text Solution
|
The thermal powered density u is generated uniformly inside a uniform ...
Text Solution
|
A rof of length l with thermally insulated lateral surface consists of...
Text Solution
|
A hot water radiator at 310 K temperature radiates thermal radiation l...
Text Solution
|
A flat bottomed metal tank of water is dragged along a horizontal floo...
Text Solution
|
Two solid spheres, one of aluminium and the other of copper, of twice ...
Text Solution
|
Estimate the rate that heat can be conducted from the interior of the ...
Text Solution
|
The temperature of the filament of 100-watt lamp is 4000^(@)C in the s...
Text Solution
|
A thin pipe having outside diameter of 3 cm is to be covered with two ...
Text Solution
|
A spherical metal ball of radius 1 cm is suspended in a room at 300 K ...
Text Solution
|
A block of copper of radius r = 5.0 cm is coated black on its outer su...
Text Solution
|
One end of a rod of length 20 cm is maintained at 800 K. The temperatu...
Text Solution
|
In a pitcher 10 kg water is contained.Total surlace area of pitcher wa...
Text Solution
|