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A black body of mass 34.38 g and surface...

A black body of mass `34.38` g and surface area `19.2cm^(2)` is at an intial temperature of 400 K. It is allowed to cool inside an evacuated enclosure kept at constant temperature 300 K. The rate of cooling is `0.04^(@)C//s`. The sepcific heat of the body `J kg^(-1)K^(-1)` is
(Stefan's constant, `sigma = 5.73 xx 10^(-8)Wm^(-2)K^(-4))`

A

2800

B

2100

C

1400

D

1200

Text Solution

Verified by Experts

The correct Answer is:
C
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A black body of mass 34.38 g and surface area 19.2 cm^(2) is at an intial temperature of 400 K. It is allowed to cool inside an evacuated enclouse kept at constant temperature 300 K. The rate of cooling is 0.04^(@) C/s. The specific heat of body is (Stefan's constant sigma=5.73xx10^(-8) jm^(-2)K^(-4) )

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A metal sphere with a black surface and radius 30 min , is cooled to -73C (200K) and placed inside an enclosure at a temperature of 27^(@)C(300K) . Calculate the initial rate of temperature rise of the sphere, assuming the sphere is a black body. (Assume density of metal =8000 kg m^(-3) specific heat capacity of metal =400 J kg^(-1)K^(-1) , and Stefan constant =5.7xx10^(-8)Wm^(-2)K^(-4) ).

A body having a surface area of 50cm^2 radiates 300J of energy per minute at a temperature of 727^(@)C . The emissivity of the body is ( Stefan's constant =5.67xx10^(-8)W//m^2K^4 )

A blackened solid copper sphere of radius 2 cm is placed in an evacuated enclosure whose walls are kept at 100^(@)C . At what rate must energy be supplied to the sphere to keep its temperature constant at 127^(@)C ? Stefan constant = 5.67xx 10^(-8)Jm^(-2)K^(-4).

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