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A vacuum flask contains 0.4 kg liquid pa...

A vacuum flask contains 0.4 kg liquid paraffin whose temperature can be increased at the rate of `1^(@)C` per minute using an immersion heater of power 12.3 W. When a heater of 19.2 W is used to heat 0.5 kg of liquid paraffin, in the same flask, the rate of rise temperature is `1.2^(@)C` per minute.
What is specific heat of the paraffin?

A

`"0.529 cal.g"^(-1).^(@)C^(-1)`

B

`"0.429 cal.g"^(-1).^(@)C^(-1)`

C

`"0.472 cal.g"^(-1).^(@)C^(-1)`

D

`"0.623 cal.g"^(-1).^(@)C^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
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A 10 Watt electric heater is used to heat a container filled with 0.5 kg of water. It is found that the temperature of water and the container rises by 3^@ K in 15 minutes. The container is then emptied, dried and filled with 2 kg of oil. The same heater now raises the temperature of container-oil system by 2^@ K in 20 minutes. Assuming that there is no heat loss in the process and the specific heat of water as 4200 Jkg^(-1) k^(-1) , the specific heat of oil in the same unit is equal to

Knowledge Check

  • A vacuum flask contains 0.4 kg liquid paraffin whose temperature can be increased at the rate of 1^(@)C per minute using an immersion heater of power 12.3 W. When a heater of 19.2 W is used to heat 0.5 kg of liquid paraffin, in the same flask, the rate of rise temperature is 1.2^(@)C per minute. What is the thermal capacity of the material of the flask?

    A
    `"17.67 cal".^(@)C^(-1)`
    B
    `"16.85 cal".^(@)C^(-1)`
    C
    `"17.01 cal".^(@)C^(-1)`
    D
    `1"16.63 cal".^(@)C^(-1)`
  • When a block of metal of specific heat "0.1 cal.g"^(-1).^(@)C^(-1) and weighing 110 g is heated to 100^(@)C and then quickly transferred to a calorimeter containing 200 g of a liquid at 10^(@)C , the resulting temperature is 18^(@)C . On repeating the experiment with 400 g of same liquid in the same calorimeter at same initial temperature, the resulting temperature is 14.5^(@)C . Find the specific heat of the liquid .

    A
    `"0.42 cal.g"^(-1).^(@)C^(-1)`
    B
    `"0.52 cal.g"^(-1).^(@)C^(-1)`
    C
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    D
    `"0.62 cal.g"^(-1).^(@)C^(-1)`
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    A
    `1.50xx10^3`
    B
    `2.55xx10^3`
    C
    `3.00xx10^3`
    D
    `5.10xx10^3`
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