Answer
Verified
419.4k+ views
Hint: Before moving to the graphs, we need to know about Boyle's law. It explains about the behavior of gases. It also explains the relationship between the volume of a gas and the pressure of a gas at constant temperature.
Complete step by step answer:
Let’s know about Boyle’s law in detail. We know that when a gas is applied with pressure, it takes up very less space. Thus we can say that when the pressure is high, the volume will be low. This is explained in Boyle’s law.
So we can say that pressure is inversely proportional to the volume of a gas.
It can expressed as:
\[{{P}}\alpha \dfrac{1}{{{V}}}\], where ${{P}}$ is the pressure of the gas and ${{V}}$ is the volume of a gas.
Also, ${{PV = k}}$, where ${{k}}$ is a constant.
Or ${{{P}}_1}{{{V}}_1}{{ = }}{{{P}}_2}{{{V}}_2}$, where ${{{P}}_1}$ is initial pressure, ${{{P}}_2}$ is the final pressure, ${{{V}}_1}$ is the initial volume and ${{{V}}_2}$ is the final volume.
Now let’s focus on the graph of Boyle’s law. When we plot a graph between pressure and volume, we get a curve which is a downward one, as in option C. This shows that when pressure is increased, volume gets decreased.
Since ${{PV = k}}$ is a constant, when we plot between ${{PV}}$ v/s ${{P}}$, even though the pressure is increased, it may not influence ${{PV}}$. Thus it will be a straight line which is parallel to the x axis as in option B. Also, it will be straight line when we plot a graph between ${{P}}$ and $\dfrac{1}{{{V}}}$ which will be starting from the origin as in option A. But option D is not correct.
Hence A, B and C are correct.
so the correct option for the question is option i.
Note: In option D, the graph does not represent Boyle's law. When the inverse of volume is increased, i.e. the volume is decreased, the pressure is also decreased. Thus it states that pressure and volume are directly proportional. This is not correct.
Complete step by step answer:
Let’s know about Boyle’s law in detail. We know that when a gas is applied with pressure, it takes up very less space. Thus we can say that when the pressure is high, the volume will be low. This is explained in Boyle’s law.
So we can say that pressure is inversely proportional to the volume of a gas.
It can expressed as:
\[{{P}}\alpha \dfrac{1}{{{V}}}\], where ${{P}}$ is the pressure of the gas and ${{V}}$ is the volume of a gas.
Also, ${{PV = k}}$, where ${{k}}$ is a constant.
Or ${{{P}}_1}{{{V}}_1}{{ = }}{{{P}}_2}{{{V}}_2}$, where ${{{P}}_1}$ is initial pressure, ${{{P}}_2}$ is the final pressure, ${{{V}}_1}$ is the initial volume and ${{{V}}_2}$ is the final volume.
Now let’s focus on the graph of Boyle’s law. When we plot a graph between pressure and volume, we get a curve which is a downward one, as in option C. This shows that when pressure is increased, volume gets decreased.
Since ${{PV = k}}$ is a constant, when we plot between ${{PV}}$ v/s ${{P}}$, even though the pressure is increased, it may not influence ${{PV}}$. Thus it will be a straight line which is parallel to the x axis as in option B. Also, it will be straight line when we plot a graph between ${{P}}$ and $\dfrac{1}{{{V}}}$ which will be starting from the origin as in option A. But option D is not correct.
Hence A, B and C are correct.
so the correct option for the question is option i.
Note: In option D, the graph does not represent Boyle's law. When the inverse of volume is increased, i.e. the volume is decreased, the pressure is also decreased. Thus it states that pressure and volume are directly proportional. This is not correct.
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?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
If the range of a function is a singleton set then class 12 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE