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Question

# A spherical body having radius 0.5 m is transfering heat to its surrounding through convection. Find the temperature difference between surrounding and the body surface, if the rate of heat transfer is 1.57×105 W. (Convection coefficient,hc=1570 W/m2-K)

A
35.8 K
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B
31.8 K
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C
38.8 K
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D
40.8 K
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Solution

## The correct option is B 31.8 KGiven, Radius of sphere, r=0.5 m Surface area, A=4πr2=4×3.14×0.52=3.14 m2 Rate of heat transfer, q=1.57×105 W Convection co-efficient, hc=1570 W/m2-K We know, q=hcAΔT ⇒ΔT=qhcA=1.57×1051570×3.14 ⇒ΔT=31.8 K The temperature difference between surrounding and the body is 31.8 K

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