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To help keep his warm on cold days, a fa...

To help keep his warm on cold days, a farmer stores 840 kg of solar-heated water `( L_(F) = 3.35 xx 10^(5) J //kg )` in barrels . For how many hours would a 2.0 kW electric space heater have to operate to provide the same amount of heat as the water does when it cools from 10.0 to `0.0^(@)C` and completely freezes ?

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Knowledge Check

  • A certain rain cloud at an altitude of 2.0 km contains 3.6 xx 10^(7) kg of water vapour. How long would it take a 2.0 kW pump to raise the same amount of water from the Earth's surface to the cloud's position?

    A
    `2 xx 10^(5) h`
    B
    `5 xx 10^(5) h`
    C
    `5 xx 10^(3) h`
    D
    `2 xx 10^(3) h`

  • A 2.00 kg metal object requires 5.02 xx 10^(3) J of heat to raise its temperature from 20.0^(@)C to 40.0^(@)C . What is the specific heat capacity of the metal ?

    A
    `63.0J //( kg. ""^(@)C )`
    B
    `126J //(kg. ""^(@)C )`
    C
    `251 J //( kg. ""^(@)C )`
    D
    `502 J // ( kg . ""^(@ )C)`

  • A 0.50 kg ice cube at -10^(@)C is placed in 3.0 kg of coffce at 20^(@)C . What will be the final temperature of mixture? Assume that specifec heat of tea is same as that of water.

    A
    `5.1^(@)C`
    B
    `8^(@)C`
    C
    `10^(@)C`
    D
    `6^(@)C`

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    The specific heat of water 4200 "J kg"^(-1)K^(-1) and latent heat of ice =3.4xx10^5 "j kg"^(-1) . 100 grams of ice at 0^@C is placed in 200 g of water at 25^@C . The amount of ice that will melt as the temperature of water reaches 0^@C is close to (in grams)

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