Vapor, fluid (liquids), solid state

Relative air humidity
$$\phi = \frac{p}{p_0}$$
φ - relative air humidity
p - partial water vapour pressure
p0 - water saturated vapour pressure
Find   It is known that:
      =   
Calculate 'φ'

Relative air humidity
$$\phi = \frac{\rho}{\rho_0}$$
φ - relative air humidity
ρ - water vapor density in the atmosphere
ρ_0 - saturated water vapor density
Find   It is known that:
      =   
Calculate 'φ'

Liquid surface tension force
$$F = \sigma\cdot l$$
F - force
σ - surface tension coefficient
l - circuit length
Find   It is known that:
      =   
Calculate 'F'

Additional pressure in the surface of a curved fluid (Young–Laplace formula)
$$\Delta_{p} = \frac{2\cdot \sigma}{R}$$
Δ_p - additional pressure in the curved surface
σ - surface tension coefficient
R - radius
Find   It is known that:
      =   
Calculate 'Δ_p'

Capillary rise (descent)
$$h = \frac{2\cdot \sigma}{\rho\cdot g\cdot r}$$
h - height
σ - surface tension coefficient
ρ - density
g - free fall acceleration
r - capillary radius
Find   It is known that:
      =   
Calculate 'h'

Tension
$$\sigma = \frac{F}{S}$$
σ - tension (tensioning )
F - force
S - cross-sectional area
Find   It is known that:
      =   
Calculate 'σ'

Hooke's law (tension)
$$\sigma = E\cdot \varepsilon$$
σ - tension (tensioning )
E - young's modulus
ε - elongation
Find   It is known that:
      =   
Calculate 'σ'

Hooke's law (tension)
$$\sigma = \frac{E\cdot \Delta_{l}}{l_0}$$
σ - tension (tensioning )
E - young's modulus
Δ_l - change in length
l_0 - initial length
Find   It is known that:
      =   
Calculate 'σ'

Elongation
$$\varepsilon = \frac{\Delta_{l}}{l_0}$$
ε - elongation
Δ_l - change in length
l_0 - initial length
Find   It is known that:
      =   
Calculate 'ε'

Temperature coefficient of linear expansion (solid body)
$$\alpha = \frac{\Delta_{l}}{l_{1}\cdot \Delta_{t}}$$
α - temperature coefficient of linear expansion (linear expansivity)
Δ_l - change in length
l_1 - initial length
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'α'

Heat (thermal) surface expansion of solid body
$$\Delta_{S} = 2\cdot \alpha\cdot S_{1}\cdot \Delta_{t}$$
Δ_S - change in area
α - temperature coefficient of linear expansion (linear expansivity)
S_1 - initial area
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'Δ_S'

Heat (thermal) surface expansion of solid body
$$S_{2} = S_{1}\cdot (1+2\cdot \alpha\cdot \Delta_{t})$$
S_2 - final area
S_1 - initial area
α - temperature coefficient of linear expansion (linear expansivity)
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'S_2'

Heat (thermal) volume expansion of solid body
$$V_{2} = V_{1}\cdot (1+3\cdot \alpha\cdot \Delta_{t})$$
V2 - final volume
V1 - initial volume
α - temperature coefficient of linear expansion (linear expansivity)
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'V_2'

Heat (thermal) volume expansion of liquid (fluid)
$$\Delta_{V} = \beta\cdot V_{1}\cdot \Delta_{t}$$
Δ_V - change in volume
β - volume expansion temperature coefficient
V1 - initial volume
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'Δ_V'

Heat (thermal) volume expansion of liquid (fluid)
$$V_{2} = V_{1}\cdot (1+\beta\cdot \Delta_{t})$$
V2 - final volume
V1 - initial volume
β - volume expansion temperature coefficient
Δ_t - temperature change
Find   It is known that:
      =   
Calculate 'V_2'

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