Training Absolute Temperature

Storyboard

By means of Charles's law, the temperature of absolute zero can be estimated. For this a volume of gas is contracted at 100C at 0C and with both volumes and temperatures it is possible by Charles's law to estimate absolute zero.

>Model

ID:(1478, 0)



Mechanisms

Iframe

>Top



Code
Concept

Mechanisms

ID:(15261, 0)



Experiment to estimate absolute zero

Description

>Top


If the volume of a gas is measured at 0°C and 100°C, a linear behavior can be observed on the volume-temperature graph. If the line is projected, it can be seen that at some point of negative temperatures (in Celsius or Fahrenheit scale), the volume will reach zero. This point is called absolute zero.

It is important to note that in reality, the situation where the volume reaches zero is not attainable, as all gases condense and solidify long before reaching absolute zero.

ID:(11169, 0)



Practical: Absolute temperature

Description

>Top


In the following video, you can see how gas volumes at different temperatures are determined in the laboratory in order to plot the volume-temperature curve at constant pressure. The intersection of the line with the temperature axis determines the absolute temperature at which, theoretically, the volume should be zero:



The obtained values are:

V [ml] T [C]
152.1 3.7
165.1 21.9
183.1 43.0



which are graphically represented, including the line calculated by regression:

This estimation yields a value of -148°C, which differs from the actual value of -273.15°C.

ID:(11173, 0)



Model

Top

>Top



Parameters

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$C_c$
C_c
Charles law constant
m^3/K

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$T_f$
T_f
Temperature in final state
K
$T_i$
T_i
Temperature in initial state
K
$V_f$
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

Calculations

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

Variable Given Calculate Target : Equation To be used




Equations

#
Equation

$\displaystyle\frac{ V_i }{ T_i } = C_c$

V / T = C_c


$\displaystyle\frac{ V_f }{ T_f } = C_c$

V / T = C_c


$\displaystyle\frac{ V_i }{ T_i }=\displaystyle\frac{ V_f }{ T_f }$

V_i / T_i = V_f / T_f

ID:(15320, 0)



Charles Law (1)

Equation

>Top, >Model


Charles's law establishes a relationship between the volume ($V$) and the absolute temperature ($T$), indicating that their ratio is equal to the charles law constant ($C_c$), as follows:

$\displaystyle\frac{ V_i }{ T_i } = C_c$

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

$T$
$T_i$
Temperature in initial state
$K$
5236
$C_c$
Charles law constant
$m^3/K$
9336
$V$
$V_i$
Volume in state i
$m^3$
5234

ID:(583, 1)



Charles Law (2)

Equation

>Top, >Model


Charles's law establishes a relationship between the volume ($V$) and the absolute temperature ($T$), indicating that their ratio is equal to the charles law constant ($C_c$), as follows:

$\displaystyle\frac{ V_f }{ T_f } = C_c$

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

$T$
$T_f$
Temperature in final state
$K$
5237
$C_c$
Charles law constant
$m^3/K$
9336
$V$
$V_f$
Volume in state f
$m^3$
5235

ID:(583, 2)



Change of state of an ideal gas according to Charles's law

Equation

>Top, >Model


If a gas transitions from an initial state (i) to a final state (f) with the pressure ($p$) constant, then for the volume in state i ($V_i$), the volume in state f ($V_f$), the temperature in initial state ($T_i$), and the temperature in final state ($T_f$):

$\displaystyle\frac{ V_i }{ T_i }=\displaystyle\frac{ V_f }{ T_f }$

$T_f$
Temperature in final state
$K$
5237
$T_i$
Temperature in initial state
$K$
5236
$V_f$
Volume in state f
$m^3$
5235
$V_i$
Volume in state i
$m^3$
5234

Charles's law states that, with the pressure ($p$) constant, the ratio of the volume ($V$) to the absolute temperature ($T$) equals the charles law constant ($C_c$):

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



This implies that if a gas transitions from an initial state (the volume in state i ($V_i$) and the temperature in initial state ($T_i$)) to a final state (the volume in state f ($V_f$) and the temperature in final state ($T_f$)), while keeping the pressure ($p$) constant, it must always comply with Charles's law:

$\displaystyle\frac{V_i}{T_i} = C_c = \displaystyle\frac{V_f}{T_f}$



Therefore, we have:

$\displaystyle\frac{ V_i }{ T_i }=\displaystyle\frac{ V_f }{ T_f }$

ID:(3492, 0)