Answer
Verified
429.9k+ views
Hint: As we know that Charles law is used to explain the effects of temperature on gases under constant pressure. According to Charles law:
\[\begin{align}
& V\propto T \\
& \dfrac{V}{T}=k \\
\end{align}\]
Where, V= volume of the gas, T= temperature of the gas, in kelvin, K= constant
Complete Step by step solution:
- As we know that according to Charles law, at a constant pressure the volume of a given amount of gas is directly proportional to its absolute temperature. It is found that at ${{0}^{\circ }}C$ per degree changes in temperature, all gases contract or we can say expand by same fraction of their volumes
As temperature is directly proportional to volume, we can write the expression for this mathematically as:
\[\begin{align}
& V\propto T \\
& \dfrac{V}{T}=k \\
\end{align}\]
Where,
V= volume of the gas
T= temperature of the gas, in kelvin
K= constant
For each degree change in temperature, the volume of a sample of a gas changes by the fraction $\dfrac{1}{273}$of its volume at ${{0}^{\circ }}C$, therefore we can write:
${{V}_{T}}={{V}_{\circ }}+\left( \dfrac{1}{273}\times {{V}_{\circ }} \right)\times T$
${{V}_{T}}={{V}_{\circ }}+\left( 1+{{\dfrac{T}{273}}_{\circ }} \right)$
Where,
${{V}_{T}}$ = volume of gas at temperature T
${{V}_{\circ }}$ = volume of gas at${{0}^{\circ }}C$
- Hence, we can conclude that the correct option is (d), that is ${{V}_{1}}={{V}_{\circ }}\left( \dfrac{273-1}{273} \right)$does not describe Charles’ law.
Note: - We must note here that Charles law is applicable for real gases only at low pressures and high temperatures. And is only applicable to real gases.
- We can see that at high pressure, the relation between temperature and volume is not linear.
\[\begin{align}
& V\propto T \\
& \dfrac{V}{T}=k \\
\end{align}\]
Where, V= volume of the gas, T= temperature of the gas, in kelvin, K= constant
Complete Step by step solution:
- As we know that according to Charles law, at a constant pressure the volume of a given amount of gas is directly proportional to its absolute temperature. It is found that at ${{0}^{\circ }}C$ per degree changes in temperature, all gases contract or we can say expand by same fraction of their volumes
As temperature is directly proportional to volume, we can write the expression for this mathematically as:
\[\begin{align}
& V\propto T \\
& \dfrac{V}{T}=k \\
\end{align}\]
Where,
V= volume of the gas
T= temperature of the gas, in kelvin
K= constant
For each degree change in temperature, the volume of a sample of a gas changes by the fraction $\dfrac{1}{273}$of its volume at ${{0}^{\circ }}C$, therefore we can write:
${{V}_{T}}={{V}_{\circ }}+\left( \dfrac{1}{273}\times {{V}_{\circ }} \right)\times T$
${{V}_{T}}={{V}_{\circ }}+\left( 1+{{\dfrac{T}{273}}_{\circ }} \right)$
Where,
${{V}_{T}}$ = volume of gas at temperature T
${{V}_{\circ }}$ = volume of gas at${{0}^{\circ }}C$
- Hence, we can conclude that the correct option is (d), that is ${{V}_{1}}={{V}_{\circ }}\left( \dfrac{273-1}{273} \right)$does not describe Charles’ law.
Note: - We must note here that Charles law is applicable for real gases only at low pressures and high temperatures. And is only applicable to real gases.
- We can see that at high pressure, the relation between temperature and volume is not linear.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE