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Sand Density, Heat Capacity, Thermal Conductivity

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Sand – Density – Heat Capacity – Thermal Conductivity
About Sand
Sand is a granular material composed of finely divided rock and mineral particles. The composition of sand varies, depending on the local
rock sources and conditions, but the most common constituent of sand in inland continental settings and non-tropical coastal settings is
silica (silicon dioxide, or SiO2), usually in the form of quartz. Silica is one of the most complex and most abundant families of materials,
existing as a compound of several minerals and as synthetic product.
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Summary
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Name
Sand
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Sand | Density, Heat Capacity, Thermal Conductivity
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https://material-properties.org/sand-density-heat-capacity-thermal-conductivity/
Phase at STP
solid
Density
1500 kg/m3
Ultimate Tensile Strength
N/A
Yield Strength
N/A
Young’s Modulus of Elasticity
N/A
Brinell Hardness
N/A
Melting Point
1577 °C
Thermal Conductivity
0.25 W/mK
Heat Capacity
830 J/g K
Price
0.03 $/kg
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Density of Sand
Typical densities of various substances are at atmospheric pressure. Density is defined as the mass per unit volume. It is an intensive
property, which is mathematically defined as mass divided by volume: ρ = m/V
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In words, the density (ρ) of a substance is the total mass (m) of that substance divided by the total volume (V) occupied by that substance.
The standard SI unit is kilograms per cubic meter (kg/m3). The Standard English unit is pounds mass per cubic foot (lbm/ft3).
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Density of Sand is 1500 kg/m3.
Example: Density
Calculate the height of a cube made of Sand, which weighs one metric ton.
Solution:
Density is defined as the mass per unit volume. It is mathematically defined as mass divided by volume: ρ = m/V
As the volume of a cube is the third power of its sides (V = a3), the height of this cube can be calculated:
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The height of this cube is then a = 0.874 m.
Density of Materials
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Thermal Properties of Sand
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Sand – Melting Point
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Melting point of Sand is 1577 °C.
Note that, these points are associated with the standard atmospheric pressure. In general, melting is a phase change of a substance
from the solid to the liquid phase. The melting point of a substance is the temperature at which this phase change occurs. The melting
point also defines a condition in which the solid and liquid can exist in equilibrium. For various chemical compounds and alloys, it is
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difficult to define the melting point, since they are usually a mixture of various chemical elements.
Sand – Thermal Conductivity
Thermal conductivity of Sand is 0.25 W/(m·K).
The heat transfer characteristics of a solid material are measured by a property called the thermal conductivity, k (or λ), measured
in W/m.K. It is a measure of a substance’s ability to transfer heat through a material by conduction. Note that Fourier’s law applies for all
matter, regardless of its state (solid, liquid, or gas), therefore, it is also defined for liquids and gases.
The thermal conductivity of most liquids and solids varies with temperature. For vapors, it also depends upon pressure. In general:
Most materials are very nearly homogeneous, therefore we can usually write k = k (T). Similar definitions are associated with thermal
conductivities in the y- and z-directions (ky, kz), but for an isotropic material the thermal conductivity is independent of the direction of
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transfer, kx = ky = kz = k.
Sand – Specific Heat
Specific heat of Sand is 830 J/g K.
Specific heat, or specific heat capacity, is a property related to internal energy that is very important in thermodynamics.
The intensive properties cv and cp are defined for pure, simple compressible substances as partial derivatives of the internal
energy u(T, v) and enthalpy h(T, p), respectively:
where the subscripts v and p denote the variables held fixed during differentiation. The properties cv and cp are referred to as specific
heats (or heat capacities) because under certain special conditions they relate the temperature change of a system to the amount of
energy added by heat transfer. Their SI units are J/kg K or J/mol K.
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Example: Heat transfer calculation
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Thermal conductivity is defined as the amount of heat (in watts) transferred
through a square area of material of given thickness (in metres) due to a
difference in temperature. The lower the thermal conductivity of the material the
greater the material’s ability to resist heat transfer.
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Calculate the rate of heat flux through a wall 3 m x 10 m in area (A = 30 m2). The
wall is 15 cm thick (L1) and it is made of Sand with the thermal conductivity of k1 =
0.25 W/m.K (poor thermal insulator). Assume that, the indoor and the outdoor
temperatures are 22°C and -8°C, and the convection heat transfer coefficients on
the inner and the outer sides are h1 = 10 W/m2K and h2 = 30 W/m2K, respectively.
Note that, these convection coefficients strongly depend especially on ambient
and interior conditions (wind, humidity, etc.).
Calculate the heat flux (heat loss) through this wall.
Solution:
As was written, many of the heat transfer processes involve composite systems
and even involve a combination of both conduction and convection. With these
composite systems, it is often convenient to work with an overall heat transfer
coefficient, known as a U-factor. The U-factor is defined by an expression
analogous to Newton’s law of cooling:
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The overall heat transfer coefficient is related to the total thermal resistance and depends on the geometry of the problem.
Assuming one-dimensional heat transfer through the plane wall and disregarding radiation, the overall heat transfer coefficient can be
calculated as:
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The overall heat transfer coefficient is then: U = 1 / (1/10 + 0.15/0.25 + 1/30) = 1.36 W/m2K
The heat flux can be then calculated simply as: q = 1.36 [W/m2K] x 30 [K] = 40.91 W/m2
The total heat loss through this wall will be: qloss = q . A = 40.91 [W/m2] x 30 [m2] = 1227.27 W
Melting Point of Materials
Thermal Conductivity of Materials
Heat Capacity of Materials
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Strength of Materials
Elasticity of Materials
Hardness of Materials
 Material Properties
 Porcelain – Density – Heat Capacity – Thermal Conductivity
 Limestone – Density – Heat Capacity – Thermal Conductivity
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