# Question: water is to be boiled at an elevation of 1500...

###### Question details

Water is to be boiled at an elevation of 1500 m where the atmospheric pressure is 84.53 kPa. The boiling is carried out in stainless steel pan with a 30 cm diameter. The pan is placed on top of a 3-kW electric burner. If 60% of the heat generated by the burner is transferred to the water during boiling determine the temperature of the inner surface of the bottom of the pan. (Ans: 101.6^{o}C)

Additional data and information:

Forster-Zuber correlation:

Where:

*h _{NB}* = nucleate boiling heat transfer coefficient (W m

^{−2}K

^{−1}).

*k _{L}* = thermal conductivity of the liquid (W m

^{−1}K

^{−1}).

*C _{p,L}* = specific heat capacity of the liquid (J kg

^{−1}K

^{−1}).

*ρ _{L}* = density of liquid (kg m

^{−3}).

*σ* = surface tension (N m^{−1}).

*µ _{L}* = viscosity of the liquid (N s m

^{−2}).

Δ*H _{vap}* = enthalpy of vaporization (J kg

^{−1}).

*ρ _{v}* = density of vapour (kg m

^{−3}).

Δ*T _{e}* = excess temperature (K).

*P _{s}* = vapour pressure of liquid at surface temperature

*T*(Pa).

_{s}*P _{sat}* = saturation vapour pressure of liquid (Pa).

The following data are for water at 84.53 kPa and 95°C:

*k _{L}* = 0.678 W m

^{−1}K

^{−1}

*C _{p,L}* = 4212 J kg

^{−1}K

^{−1}

*ρ _{L}* = 961.5 kg m

^{−3}

*σ* = 0.0599 N m^{−1}

*µ _{L}* = 0.297x10

^{−3}N s m

^{−2}

Δ*H _{vap}* = 2270x10

^{3}J kg

^{−1}

*ρ _{v}* = 0.50 kg m

^{−3}

*P _{s}* = 101x10

^{3}Pa

*P _{sat}* = 84.53x10

^{3}Pa

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