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Water is boiled in flat bottom kettle placed on a stove. The area of the bottom is 3000 "cm"^(2) and the thickness is 2 mm. If the amount of steam produced is 1 g "min"^(-1) , the difference of temperature between the inner and outer surfaces of the bottom is (Given : Thermal conductivity of the material of kettle is 0.5 cal ""^@C^(-1) s^(-1) "cm"^(-1) and latest heat of steam is 540 cal g^(-1)) |
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Answer» `2.1xx10^(-3)""^@C` `(dm)/(DT) = 1/60 G s^(-1)` Heat transferred per second , `(DQ)/(dt)=L (dm)/(dt)` `rArr (dQ)/(dt)=540xx1/60 "cal s"^(-1)` Also `(dQ)/(dt)=(KA DeltaT)/d` `therefore DeltaT=(dQ)/(dt)xxd/(KA)=(9xx0.2)/(0.5xx3000)=1.2xx10^(-3) ""^@C` |
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