Hidroestatica y Presión

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ID:(732, 0)



Hidroestatica y Presión

Description

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$T$
T
Absolute temperature
K
$F$
F
Force of the medium
N
$c_m$
c_m
Molar concentration
mol/m^3
$N$
N
Number of particles
-
$n$
n
Número de Moles
mol
$c_n$
c_n
Particle concentration
1/m^3
$p$
p
Pressure
Pa
$p_f$
p_f
Pressure in final state
Pa
$p_i$
p_i
Pressure in initial state
Pa
$S$
S
Section or Area
m^2
$V$
V
Volume
m^3
$V_f$
V_f
Volume in state f
m^3
$V_i$
V_i
Volume in state i
m^3

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations

The pressure ($p$), the volume ($V$), the absolute temperature ($T$), and the number of moles ($n$) are related through the following physical laws:

• Boyle's law

$ p V = C_b $



• Charles's law

$\displaystyle\frac{ V }{ T } = C_c$



• Gay-Lussac's law

$\displaystyle\frac{ p }{ T } = C_g$



• Avogadro's law

$\displaystyle\frac{ n }{ V } = C_a $



These laws can be expressed in a more general form as:

$\displaystyle\frac{pV}{nT}=cte$



This general relationship states that the product of pressure and volume divided by the number of moles and temperature remains constant:

$ p V = n R_C T $

(ID 3183)

Boyle's law states that with the absolute temperature ($T$) constant, the product of the pressure ($p$) and the volume ($V$) is equal to the boyle's law constant ($C_b$):

$ p V = C_b $



This means that if a gas transitions from an initial state (the pressure in initial state ($p_i$) and the volume in state i ($V_i$)) to a final state (the pressure in final state ($p_f$) and the volume in state f ($V_f$)), maintaining the absolute temperature ($T$) constant, it must always satisfy Boyle's law:

$p_i V_i = C_b = p_f V_f$



Therefore, it follows that:

$ p_i V_i = p_f V_f $

(ID 3491)


Examples

The water column pressure ($p$) is calculated from the column force ($F$) and the column Section ($S$) as follows:

$ p \equiv\displaystyle\frac{ F }{ S }$

(ID 4342)

The particle concentration ($c_n$) is defined as the number of particles ($N$) divided by the volume ($V$):

$ c_n \equiv \displaystyle\frac{ N }{ V }$

(ID 4393)

$n=\displaystyle\frac{N}{N_A}$

(ID 4394)

The molar concentration ($c_m$) corresponds to ERROR:9339,0 divided by the volume ($V$) of a gas and is calculated as follows:

$ c_m \equiv\displaystyle\frac{ n }{ V }$

(ID 4878)

If a gas transitions from an initial state (i) to a final state (f) with the absolute temperature ($T$) constant, the following relationship holds for the pressure in initial state ($p_i$), the pressure in final state ($p_f$), the volume in state i ($V_i$), and the volume in state f ($V_f$):

$ p_i V_i = p_f V_f $

(ID 3491)

The pressure ($p$), the volume ($V$), the absolute temperature ($T$), and the number of moles ($n$) are related by the following equation:

$ p V = n R_C T $



where the universal gas constant ($R_C$) has a value of 8.314 J/K mol.

(ID 3183)


ID:(732, 0)