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Q.

Water is boiled in flat bottom kettle placed on a stove. The area of the bottom is 3000 cm2 and the
thickness is 2 mm. If the amount of steam produced is 1 g min-1. Then, the difference of temperature
between inner and outer surfaces of the bottom is: (K for the material of kettle is 0.5 cal C-1s-1 cm-1)  

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a

0.12 x 10-5 K

b

1.9x 10-3 K

c

1.3 X 10-4 0C

d

1.2 x 10-3 K

answer is D.

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Detailed Solution

Rate of production of mass of steam  =dmdt=160 gs1

Rate of heat transformed by stove, 

dQdt=Ldmdt=540×160=9 calC1s1cm1

Also,   dQdt=KAdθdxLdmdt=KAdθdx

 9=0.5×3000×dθ0.2

 dθ=1.2×103C=1.2×103K

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