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A brass boiler has a base area of 0.15 "...

A brass boiler has a base area of `0.15 "m"^(2)` and thickness is `1.0 "cm"`. It boils water at the rate of `6.0 "kg/min"`. When placed on a gas stove. Estimate the temperature of the part of the flame in contact. With the boiler. Thermal conductivity of brass `= 109 "Wm"^(-1) "K"^(-1)`

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Let `T_1` be the temperature of the part of the flame in contact with boiler. The amount of heat flows into water in 1 min
`Q=KA(T_1-T_2)/(L)t`
`=(109xx0.15xx(T_1-100)xx60)/(0.01)J`
Mass of the water boiled in 1 min`=6kg=6000g`
Heat required to boil the water `Q=mL=6000xx2256J`
`(109xx0.15xx(T_1-100)xx60)/(0.01)=6000xx2256`
or `T_1-100=138`
or `T_1=238^@C`
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