Question:
The figure below shows the plot of $\frac{pV}{nT}$ versus p for oxygen gas at two different temperatures.
Read the following statements concerning the above curves
(i) The dotted line corresponds to the 'ideal' gas behaviou
(ii) $T_1 > T_2$
(iii) The value of $\frac{pV}{nT}$ at the point where the curves meet on the y-axis is the same for all gases.
Which of the above statements is true?
The figure below shows the plot of $\frac{pV}{nT}$ versus p for oxygen gas at two different temperatures.
Read the following statements concerning the above curves
(i) The dotted line corresponds to the 'ideal' gas behaviou
(ii) $T_1 > T_2$
(iii) The value of $\frac{pV}{nT}$ at the point where the curves meet on the y-axis is the same for all gases.
Which of the above statements is true?
Updated On: Jul 29, 2022
- (i) only
- (i) and (ii) only
- All of these
- None of these
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
(i) The dotted line in the diagram shows that there is no deviation in the value of $\frac{pV}{nT}$ for different temperature $T_1$ and $T_2$ for increasing pressure so, this gas behaves ideally.
Hence, dctted line corresponds to 'ideal' gas behaviour
(ii) At high temperature, the deviation of the gas is less and at low temperature the deviation of gas is more. In the graph, deviation for $T_2$ is greater than for $T_1$ . Thus,
$ \, \, \, \, \, \, \, \, \, \, T_1 > T_2$
(iii) Since, the two curves intersect at dotted line so, the value of $\frac{pV}{nT}$ at that point on the y-axis is same for all gases.
Was this answer helpful?
0
0
Top Questions on Kinetic molecular theory of gases
- A gas is taken from state A to state B along two different paths 1 and 2. The heat absorbed and work done by the system along these two paths are \( Q_1 \) and \( W_1 \), and \( Q_2 \) and \( W_2 \), respectively. Then
- KCET - 2025
- Physics
- Kinetic molecular theory of gases
- Out of the following pair of elements, identify isotones:
- KEAM - 2024
- Physics
- Kinetic molecular theory of gases
- The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:
- JEE Main - 2023
- Physics
- Kinetic molecular theory of gases
- The number of air molecules per cm3 increased from 3 × 1019 to 12 × 1019. The ratio of collision frequency of air molecules before and after the increase in the number respectively is :
- JEE Main - 2023
- Physics
- Kinetic molecular theory of gases
- At \(300 K\) the rms speed of oxygen molecules is \(\sqrt {\frac {\alpha+5}{\alpha}}\) times to that of its average speed in the gas. Then, the value of \(\alpha\) will be
(used \(\pi=\frac {22}{7}\))- JEE Main - 2023
- Physics
- Kinetic molecular theory of gases
View More Questions
Notes on Kinetic molecular theory of gases
Concepts Used:
Kinetic Molecular Theory of Gases
Postulates of Kinetic Theory of Gases:
- Gases consist of particles in constant, random motion. They continue in a straight line until they collide with each other or the walls of their container.
- Particles are point masses with no volume. The particles are so small compared to the space between them, that we do not consider their size in ideal gases.
- Gas pressure is due to the molecules colliding with the walls of the container. All of these collisions are perfectly elastic, meaning that there is no change in energy of either the particles or the wall upon collision. No energy is lost or gained from collisions. The time it takes to collide is negligible compared with the time between collisions.
- The kinetic energy of a gas is a measure of its Kelvin temperature. Individual gas molecules have different speeds, but the temperature and
kinetic energy of the gas refer to the average of these speeds. - The average kinetic energy of a gas particle is directly proportional to the temperature. An increase in temperature increases the speed in which the gas molecules move.
- All gases at a given temperature have the same average kinetic energy.
- Lighter gas molecules move faster than heavier molecules.
