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Consider two hot bodies B(1) and B(2) wh...

Consider two hot bodies `B_(1)` and `B_(2)` which have temperature `100^(@)"C"` and `80^(@)"C"` respectively at t = 0. The temperature of surroundings is `40^(@)" C"`. The ratio of the respective rates of cooling `R_(1)` and `R_(2)` of these two bodies at` t = 0` will be

A

`R_(1) : R_(2) = 3 : 2`

B

`R_(1) : R_(2) = 5 : 4`

C

`R_(1) : R_(2) = 2 : 3`

D

`R_(1) : R_(2) = 4 : 5`

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Knowledge Check

  • A body cools at the rate of 3^(@)C// min when its temperature is 50^(@)C . If the temperature of surroundings is 25^(@)C then the rate of cooling of the body at 40^(@)C is

    A
    `2^(@)C`/min
    B
    `2.4^(@)C`/min
    C
    `2.8^(@)C`/min
    D
    `1.8^(@)C`/min

  • A body is heated to a temperature of 75^(@)C and is allowed to cool. If the temperature of the surrounding is 35^(@)C , then the temperature at which the rate of cooling will be exactly half of that initially will be

    A
    `37.5^(@)C`
    B
    `50^(@)C`
    C
    `55^(@)C`
    D
    `30^(@)C`

  • Two reactions having their energy of activation E_(1) and E_(2) temperature coefficients T_(c_(1)) and T_(c_(2)) respectively within the temperature 300 and 310K . The ratio of their temperature coefficient is:

    A
    `e^(E_(1)//E_(2))`
    B
    `e^((E_(1)-E_(2))xx10^(-4)//R)`
    C
    `10^(E_(1)//E_(2))`
    D
    `e^((E_(1) - E_(2))//4)`