A brass boiler has a base area of `0.15m^2` and thickness 1 cm. It boils water at the 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 brass is `=109Js^(-1)m^(-1)K^(-1)`, Heat of vapourisation of water is `2256xx10^3Jkg^(-1)`

Explanation

`K=109Wm^(-1)K^(-1)` L`=2.26xx10^6Jkg^(-1)` A`=0.15m^2`
`d=1xx10^(-2)m`
`m/t=(6kg)/(60s)=0.1kgs^(-1)" "theta_2=100^(@)C" "theta_1`=?
but `Q=(KA(theta_1-theta_2)/(d)=mL" "(theta_1-theta_2)=(mLd)/(Kat)` i.e. `theta_1=theta_2+((mLd)/(KAt))`
`=100+((0.1xx2.26xx10^6xx10^(-2))/(109xx0.15))=100+138.2`
`theta_1=238.2^(@)C` or 511.2K