Water is boiled in a container having a bottom of

Question

Water is boiled in a container having a bottom of surface area 25 cm2, thickness 0.1 mm and thermal conductivity 50 W/m-°C. 100 g of water is converted into steam per minute in the steady state after the boiling starts. Assuming that no heat is lost to the atmosphere, calculate the temperature of the lower surface of the bottom. Latent heat of vaporization of water = 2.26 × 106 J/kg.

Deepak Patra · Accepted Answer

Sol. A = 25 cm^2 = 25 × 10^–4 m^2 l = 1 mm = 10^–3 m K = 50 w/m-°C| Q/t = Rate of conversion of water into steam = 100 * 10^-3 * 2.26 * 10^6/1 min = 10^-1 * 2.26 * 10^6/60 = 0.376 = 10^4 Q/t = KA(θ base 1 – base 2)/l ⇒ 0.376 * 10^4 = 50 * 25 * 10^-4 * (θ - 100)/10^-3 ⇒ θ = 10^-3 * 0.376 * 10^4/50 * 25 * 10^-4 = 10^5 * 0.376/50 * 25 = 30.1 = 30

Thermal Physics> Water is boiled in a container having a b...

Shane Macguire , 11 Years ago

Deepak Patra

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Shane Macguire , 11 Years ago

Deepak Patra

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