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`        brass boiler has a base area of 0.15 m square and thickness 1 cm it  boiled water at a rate of 6 kg per minute when placed on a gas stove estimate the temperature of the part of the flame in contact with the boiler thermal conductivity of Glass is 109 per second per metre per Kelvin heat of vaporization of water is 2256*10^3`
one year ago

Arun
23315 Points
```							Dear student Base area of the boiler, A = 0.15 m2Thickness of the boiler, l = 1.0 cm = 0.01 mBoiling rate of water, R = 6.0 kg/minMass, m = 6 kgTime, t = 1 min = 60 sThermal conductivity of brass, K = 109 J s –1 m–1 K–1Heat of vaporisation, L = 2256 × 103 J kg–1The amount of heat flowing into water through the brass base of the boiler is given by:θ = KA(T1 – T2) t / l    ….(i) where,T1 = Temperature of the flame in contact with the boilerT2 = Boiling point of water = 100°CHeat required for boiling the water:θ = mL … (ii)Equating equations (i) and (ii), we get:∴ mL = KA(T1 – T2) t / l T1 – T2 = mLl / KAt= 6 × 2256 × 103 × 0.01 / (109 × 0.15 × 60)= 137.98 o CTherefore, the temperature of the part of the flame in contact with the boiler is 237.98°C.
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one year ago
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