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A black walled metal container of neglig...

A black walled metal container of negligible heat capacity is filled with water. The container has sides of length 10cm. It is placed in an evacuated chamber at `27^(@)C.` How long will it take for the temperature of water to change from `30^(@)C to 29^(@)C.`

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To solve the problem of how long it will take for the temperature of water in a black walled metal container to change from 30°C to 29°C, we will use Newton's law of cooling. Here’s a step-by-step solution: ### Step 1: Understand the parameters We have a black walled metal container with negligible heat capacity filled with water. The container's sides are 10 cm long, and it is placed in an evacuated chamber at 27°C. We need to find the time it takes for the water's temperature to drop from 30°C to 29°C. ### Step 2: Determine the average temperature The average temperature (T_avg) during the cooling process can be calculated as: \[ ...
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Knowledge Check

  • If water at 0^@C kept in a container with an open top, is placed a large evacuated chamber,

    A
    all the water will vaporize
    B
    all the water will freeze
    C
    part of the water will vaporize and the rest will freeze
    D
    ice, water and water vapour will be formed and reach equilibrium at the triple point

  • A container is filled with water at 4^@C . The water will overflow if the temperature of water is :

    A
    Increased
    B
    Decreased
    C
    Increased or decreased
    D
    None of them

  • Two black bodies at temperature 327^(@)C and 427^(@)C are kept in an evacuated chamber at 27^(@)C . The ratio fo their rates of loss of heat is

    A
    `((6)/(7))`
    B
    `((6)/(7))^(2)`
    C
    `((6)/(7))^(3)`
    D
    `(243)/(464)`

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