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Specific Heat Capacity of Metal Formula

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

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

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

Specific Heat Capacity of Metal Example

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Here is how the Specific Heat Capacity of Metal equation looks like with Values.

Here is how the Specific Heat Capacity of Metal equation looks like with Units.

Here is how the Specific Heat Capacity of Metal equation looks like.

0.421 = \frac{\frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 4599.997}{1499.999 - 55.02}

0.421J/kg*°C = \frac{\frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 4599.997J/kg}{1499.999°C - 55.02°C}

0.421 = \frac{\frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 4599.997}{1499.999 - 55.02}

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Unconventional machining processes » fx Specific Heat Capacity of Metal

Specific Heat Capacity of Metal Solution

Follow our step by step solution on how to calculate Specific Heat Capacity of Metal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = \frac{\frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 4599.997J/kg}{1499.999°C - 55.02°C}

Next Step Convert Units

∴

c = \frac{\frac{4200J \cdot (1 - 0.5)}{2.4 \cdot 0.04m³ \cdot 4.2} - 4599.997J/kg}{1773.149K - 328.17K}

Next Step Prepare to Evaluate

∴

c = \frac{\frac{4200 \cdot (1 - 0.5)}{2.4 \cdot 0.04 \cdot 4.2} - 4599.997}{1773.149 - 328.17}

Next Step Evaluate

∴

c = 0.421000120647658J/(kg*K)

Next Step Convert to Output's Unit

∴

c = 0.421000120647658J/kg*°C

LAST Step Rounding Answer

∴

c = 0.421J/kg*°C

Specific Heat Capacity of Metal Formula Elements

Variables

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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}

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How to Evaluate Specific Heat Capacity of Metal?

Specific Heat Capacity of Metal evaluator uses Specific Heat Capacity = ((Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*Volume of Metal Melted*4.2)-Latent Heat of Fusion)/(Melting Temperature of Base Metal-Ambient Temperature) to evaluate the Specific Heat Capacity, The Specific Heat Capacity of Metal formula is defined as the amount of heat required to raise the temperature of material to one degree. Specific Heat Capacity is denoted by c symbol.

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

FAQs on Specific Heat Capacity of Metal

What is the formula to find Specific Heat Capacity of Metal?

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

How to calculate Specific Heat Capacity of Metal?

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

Can the Specific Heat Capacity of Metal be negative?

Yes, the Specific Heat Capacity of Metal, measured in Specific Heat Capacity can be negative.

Which unit is used to measure Specific Heat Capacity of Metal?

Specific Heat Capacity of Metal is usually measured using the Joule per Kilogram per Celcius[J/kg*°C] for Specific Heat Capacity. Joule per Kilogram per K[J/kg*°C], Kilojoule per Kilogram per K[J/kg*°C], Kilojoule per Kilogram per Celcius[J/kg*°C] are the few other units in which Specific Heat Capacity of Metal can be measured.

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