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The heat to transform the metal from solid to liquid phase at the melting point, which depends on the metal’s heat of fusion. Calculate the unit energy for melting if the melting temperature is 1000K? (K = 3.33 * 10-6).

Correct Answer: 3.33
If we consider a fair approximation the total amount of heat or the quantity of the heat can be calculated using the following equation Um = K(Tm)2, where Um = the unit energy for melting and Tm is the melting point of the metal. Um is the total amount or quantity of heat required to melt a unit volume of metal taking the initial temperature as room temperature.

Consider a given volume of liquid at a temperature T below Tm with a free energy G’. If some of the atoms of the liquid cluster together to form a small sphere of solid, the free energy of the system will change to G, given by________ (Assume V1 volume of the solid sphere, V2 volume of liquid, A is the solid/liquid interfacial area, γ solid/liquid interface free energy, G1 and G2 are the free energies per unit volume of solid and liquid respectively).

One cubic meter of some alloy is heated in a crucible from room temperature to 100 degree Celsius above its melting point for casting. The alloy density = 7.5 g/cm3, melting point = 800 0C, specific heat = 0.33 J/gC in the solid state and 0.29 J/gC in liquid state and heat of fusion = 160 J/g. How much heat energy must be added to accomplish the heating, assuming no losses? Ambient temp = 25 °C. Density of solid and liquid are same.

$$\root 3 \of {{{\left( {333} \right)}^3} + {{\left( {333} \right)}^3} + {{\left( {334} \right)}^3} - 3 \times 333 \times 333 \times 334} $$           is equal to = ?

At the mould exit of a continuous caster, the metal consisting of a solidified shell with a liquid metal core exits at the rate of 35 kg S-1. Given that the latent heat of fusion is 3 × 105 J kg-1 and the total rate of heat removal by the mould is 4.2 × 106 W, the mass fraction of solid at the mould exit is . . . . . . . .
Assume that both while solid and liquid remain at the melting point, they are in the mould.

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. How far and in which direction is Point G from Point A?

Study the following information and answer the questions. Point A is 8m to the west of Point B. Point C is 4m to the south of Point B. Point D is 4m to the east of Point C. Point F is 6m to the north of Point D. Point E is 8m to the west of Point F. Point G is 2m to the south of Point E. If point G is 4m to the north of Point H, then what is the distance between H and D?

Laplace transform of the function f(t) is given by $${\text{F}}\left( {\text{s}} \right) = {\text{L}}\left\{ {{\text{f}}\left( {\text{t}} \right)} \right\} = \int_0^\infty {{\text{f}}\left( {\text{t}} \right){{\text{e}}^{ - {\text{st}}}}{\text{dt}}{\text{.}}} $$       Laplace transform of the function shown below is given by
Transform Theory mcq question image

Calculate the value of latent heat of fusion per unit volume if the thermal conductivities of solid and liquid are given as 15 and 20 kW/mK respectively and the temperature gradient of liquid and solid are given as 2K/m and 1.5K/m respectively? (Assume the rate of growth as 5m/s)

The temperature at which a solid melts to become a liquid at the atmospheric pressure is called its melting point. The melting point of a solid is an indication of

A liquid phase sintered SiC-Ni composite has a solid-solid grain boundary energy (γSiC-SiC) of 0.80 J.M-2 and a solid-liquid (γSiC-SiC) interfacial energy of 0.45 J.m-2. For a SiC grain size of 20 μm, the average interparticle (SiC-SiC) neck size (in μm) is: