A cylinderical brass boiler of radius 15 cm and thickness 1.0 cm is filled with water and placed on an elerctric heater. If the If the water boils at the rate of `200 g//s`, estimate the temperature of the heater filament. Thermal conductivity of `brass=109 J//s//m^@C` and heat of vapourization of water `=2.256xx10^3 J//g`.

Explanation

To solve the problem step by step, we will follow the given information and apply the relevant formulas.

### Step 1: Calculate the heat required to vaporize water per second
The rate of boiling water is given as \(200 \, g/s\). The heat of vaporization of water is given as \(L = 2.256 \times 10^3 \, J/g\).

The total heat \(Q\) required to vaporize \(200 \, g\) of water in one second is:
\[
Q = \text{mass} \times \text{heat of vaporization} = 200 \, g \times 2.256 \times 10^3 \, J/g
...