
Statement 1: In the kinetic theory of gases, collisions between gas particles and the walls of the container are considered elastic.
Statement 2: Gas molecules are considered point-like, volume less particles with no intermolecular forces and in constant, random motion.
(A) Both statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
(B) Both Statement 1 and Statement 2 are correct and Statement 2 is the not the correct explanation of Statement 1
(C) Statement 1 is correct but Statement 2 is not correct
(D) Statement 1 is not correct but Statement 2 is correct
(E) Both the Statement 1 and Statement 2 are not correct
Answer
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Hint: Kinetic Theory of Gases gave independent postulates which state gaseous molecules as point charges which move randomly. Also, collisions are bound to occur in such a large system of particles. Thus, it was assumed to be an elastic collision of particles.
Complete step by step answer:
To derive the mathematical equations for gases, some hypotheses or postulates were assumed which were known as Kinetic Theory of Gases. These postulates are given below:
Gas particles were assumed to be point masses and moved randomly within the container.
These particles have a very small volume compared to the volume of the container, thus they are considered to have no volume.
Due to the random motion of particles, the concept of the collision was introduced.
It was assumed that these particles do not lose their energy after collision with other particles, and exhibit random motion. Thus, the collision where no energy loss occurs is known as Elastic Collision.
Also, the time for the elastic collision compared to the time is taken between two simultaneous collisions was assumed to be negligible.
Lighter particles move quicker than heavier particles.
To calculate the kinetic energy and temperature of the system, the average speed of all the particles is considered.
According to the Kinetic Theory of Gases, Statement 1 and Statement 2 are correct. But, these are only postulates (assumptions) hence they are independent of each other.
Thus, the correct option is (B) that means both statements are correct but statement 2 is NOT the correct explanation of statement 1.
Note:
It was impossible to calculate the total number of particles thus all the derivations are based on average calculations.
Another type of collision of particles where the energy of the particles dissipates is called an inelastic collision, this is mostly found in real collision cases.
Complete step by step answer:
To derive the mathematical equations for gases, some hypotheses or postulates were assumed which were known as Kinetic Theory of Gases. These postulates are given below:
Gas particles were assumed to be point masses and moved randomly within the container.
These particles have a very small volume compared to the volume of the container, thus they are considered to have no volume.
Due to the random motion of particles, the concept of the collision was introduced.
It was assumed that these particles do not lose their energy after collision with other particles, and exhibit random motion. Thus, the collision where no energy loss occurs is known as Elastic Collision.
Also, the time for the elastic collision compared to the time is taken between two simultaneous collisions was assumed to be negligible.
Lighter particles move quicker than heavier particles.
To calculate the kinetic energy and temperature of the system, the average speed of all the particles is considered.
According to the Kinetic Theory of Gases, Statement 1 and Statement 2 are correct. But, these are only postulates (assumptions) hence they are independent of each other.
Thus, the correct option is (B) that means both statements are correct but statement 2 is NOT the correct explanation of statement 1.
Note:
It was impossible to calculate the total number of particles thus all the derivations are based on average calculations.
Another type of collision of particles where the energy of the particles dissipates is called an inelastic collision, this is mostly found in real collision cases.
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