Home
Class 12
PHYSICS
An ice box used for keeping eatables coo...

An ice box used for keeping eatables cool has a total wall area of `1m^2` and a wall thichness of 5.0 cm. The thermal cunductivity of the ice box is `K=0.01 J//m^@C`. It is filled with large amount of ice at `0^@C` along with eatables on a dfay when the temperature is `30^@C` The latent heat of fusion of ice is `334xx10^3 J//kg`. The amount of ice melted in one day is ( 1 day`=86,000s`)

Text Solution

Verified by Experts

` (dQ)/(dt)= (KA)/(L) "d"theta = (0.01xx1)/(0.05)xx 30=6 "joule"//s`
So `(dQ)/(dt) xx86400=6xx86400`
`Q= mL(L-"latent heat"), m=(Q)/(L)= (6xx86400)/(334xx10^(3)) =1.552"kg"`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|84 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

What power is gained by a man when he eats 100 g ice in one minute ? Latent heat of fusion of ice is 80 cal/gm.

When ice melts, its temperature

Ice at -20^(@)C mixed with 200g water at 25^(@)C . If temperature of mixture is 10^(@)C then mass of ice is -

When 0.15 kg of ice at 0 ^(@) 0 is mixed with 0.30 kg of water at 50 ^(@) C in a container, the resulting temperature is 6.7 ^(@) C . Calculate the heat of fusion of ice. (S_("water") = 4186 J kg^(-1) K^(-1))

What will be the value of Delta G for ice at 8^@ C temperature ?

1kg ice at 0^(@)C is mixed with 1kg of steam at 100^(@)C . What will be the composition of the system when thermal equilibrium is reached ? Latent heat of fusion of ice = 3.36xx 10^(6)J kg^(-1) and latent heat of vaporization of water = 2.26 xx 10^(6)J kg^(-1)

If 10 g of ice at 0^(@)C is mixed with 10 g of water at 40^(@)C . The final mass of water in mixture is (Latent heat of fusion of ice = 80 cel/g, specific heat of water =1 cal/g""^(@)C )

540 g of ice at 0^(@)C is mixed with 540 g of water at 80^(@)C . The final temperature of the mixture is