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Latent Heat of Fusion of Metal Formula

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The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered. Check FAQs

L fusion = \frac{Q \cdot (1 - R)}{s \cdot V \cdot 4.2} - c \cdot (T m - θ ambient)

L_fusion - Latent Heat of Fusion?Q - Heat Energy?R - Material Reflectivity?s - Specific Gravity of Material?V - Volume of Metal Melted?c - Specific Heat Capacity?T_m - Melting Temperature of Base Metal?θ_ambient - Ambient Temperature?

Latent Heat of Fusion of Metal Example

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Here is how the Latent Heat of Fusion of Metal equation looks like with Values.

Here is how the Latent Heat of Fusion of Metal equation looks like with Units.

Here is how the Latent Heat of Fusion of Metal equation looks like.

4599.9972 = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 0.421 \cdot (1499.999 - 55.02)

4599.9972J/kg = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 0.421J/kg*°C \cdot (1499.999°C - 55.02°C)

4599.9972 = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 0.421 \cdot (1499.999 - 55.02)

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Latent Heat of Fusion of Metal Solution

Follow our step by step solution on how to calculate Latent Heat of Fusion of Metal?

FIRST Step Consider the formula

L fusion = \frac{Q \cdot (1 - R)}{s \cdot V \cdot 4.2} - c \cdot (T m - θ ambient)

Next Step Substitute values of Variables

∴

L fusion = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 0.421J/kg*°C \cdot (1499.999°C - 55.02°C)

Next Step Convert Units

∴

L fusion = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 0.421J/(kg*K) \cdot (1773.149K - 328.17K)

Next Step Prepare to Evaluate

∴

L fusion = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 0.421 \cdot (1773.149 - 328.17)

Next Step Evaluate

∴

L fusion = 4599.99717433333J/kg

LAST Step Rounding Answer

∴

L fusion = 4599.9972J/kg

Latent Heat of Fusion of Metal Formula Elements

Variables

Latent Heat of Fusion

The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.

Symbol: L_fusion

Measurement: Latent HeatUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Latent Heat of Fusion

Heat Energy

Heat Energy is the form of energy that is transferred between systems with different temperatures. It flows from the hotter system to the cooler one until thermal equilibrium is reached.

Symbol: Q

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Heat Energy

Material Reflectivity

Material Reflectivity is the ratio of amount of radiation that is reflected to the total radiation incident.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Reflectivity

Specific Gravity of Material

Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Material

Volume of Metal Melted

Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Metal Melted

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: J/kg*°C

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Melting Temperature of Base Metal

Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.

Symbol: T_m

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Melting Temperature of Base Metal

Ambient Temperature

Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding environment.

Symbol: θ_ambient

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Ambient Temperature

Other formulas in Energy Requirements in LBM category

Go Energy Required to Melt Metal in LBM

Q = \frac{ρ m \cdot V \cdot (c \cdot (T m - θ ambient) + L fusion)}{1 - R}

Go Specific Gravity of given Metal

s = \frac{Q \cdot (1 - R)}{V \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

How to Evaluate Latent Heat of Fusion of Metal?

Latent Heat of Fusion of Metal evaluator uses Latent Heat of Fusion = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*Volume of Metal Melted*4.2)-Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature) to evaluate the Latent Heat of Fusion, The Latent Heat of Fusion of Metal formula is defined as the heat required to change the phase of solid metal to liquid per unit of volume. Latent Heat of Fusion is denoted by L_fusion symbol.

How to evaluate Latent Heat of Fusion of Metal using this online evaluator? To use this online evaluator for Latent Heat of Fusion of Metal, enter Heat Energy (Q), Material Reflectivity (R), Specific Gravity of Material (s), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m) & Ambient Temperature (θ_ambient) and hit the calculate button.

FAQs on Latent Heat of Fusion of Metal

What is the formula to find Latent Heat of Fusion of Metal?

The formula of Latent Heat of Fusion of Metal is expressed as Latent Heat of Fusion = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*Volume of Metal Melted*4.2)-Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature). Here is an example- 4599.997 = (4200*(1-0.5))/(2.4*0.04*4.2)-0.421*(1773.149-328.17).

How to calculate Latent Heat of Fusion of Metal?

With Heat Energy (Q), Material Reflectivity (R), Specific Gravity of Material (s), Volume of Metal Melted (V), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m) & Ambient Temperature (θ_ambient) we can find Latent Heat of Fusion of Metal using the formula - Latent Heat of Fusion = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*Volume of Metal Melted*4.2)-Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature).

Can the Latent Heat of Fusion of Metal be negative?

No, the Latent Heat of Fusion of Metal, measured in Latent Heat cannot be negative.

Which unit is used to measure Latent Heat of Fusion of Metal?

Latent Heat of Fusion of Metal is usually measured using the Joule per Kilogram[J/kg] for Latent Heat. Kilojoule per Kilogram[J/kg], BTU per Pound[J/kg], Calorie per Gram[J/kg] are the few other units in which Latent Heat of Fusion of Metal can be measured.

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Latent Heat of Fusion of Metal Formula

Latent Heat of Fusion of Metal Example

Latent Heat of Fusion of Metal Solution

Latent Heat of Fusion of Metal Formula Elements

Other formulas in Energy Requirements in LBM category

How to Evaluate Latent Heat of Fusion of Metal?

FAQs on Latent Heat of Fusion of Metal

Variable Name