1) choose the correct statement about the postulates of kinetic theory of gases.

a) a sample of a gas consists of a small number of large particles close together.
b) the movement of gas molecules is predictable, not random.
c) when gas molecules collide, they permanently deform and lose energy.
d) gas molecules move very slowly.
e) forces between gas molecules(attractive or repulsive) are negligible.

I chose E as the correct answer.

2) Which of the following statements about gas particles is true?

a) as the kinetic energy of a particle is halved, its velocity is also halved.
b)as the velocity of a particle is doubled, the kinetic energy decreases by a factor of four.
c) all particles having the same kinetic energy have the same mass
d) all particles at the same temperature have the same kinetic energy

I chose D as the correct answer

Are my answers correct? Thank you!

I agree.

Yes, your answers are correct.

To arrive at the correct answer for the first question, one can examine the postulates of the kinetic theory of gases:

a) This statement is incorrect because a sample of gas consists of a large number of small particles (molecules or atoms) that are far apart from each other, not a small number of large particles close together.
b) This statement is incorrect because the movement of gas molecules is random, not predictable.
c) This statement is incorrect because when gas molecules collide, they may temporarily deform but they do not permanently lose energy.
d) This statement is incorrect because gas molecules move at high speeds, not very slow speeds.
e) This statement is correct because the forces between gas molecules, either attractive or repulsive, are usually negligible compared to the kinetic energy of the molecules themselves.

For the second question, the correct answer is D:

a) This statement is incorrect because the velocity of a particle is directly proportional to the square root of its kinetic energy, so if the kinetic energy is halved, the velocity will not be halved.
b) This statement is incorrect because the kinetic energy of a particle is directly proportional to the square of its velocity, so if the velocity is doubled, the kinetic energy increases by a factor of four.
c) This statement is incorrect because particles with the same kinetic energy can have different masses depending on their velocity.
d) This statement is correct because particles at the same temperature have the same average kinetic energy, according to the kinetic theory of gases.