The collision between two gas molecules with different masses results in the velocity of the first molecule decreasing by 1/4. if the collision is elastic, which of the following statements is true? a. the velocity of the second molecule will increase by a factor of 4. b. the velocity of the second molecule will increase by a factor of 16. c. the velocity of the second molecule will decrease by a factor of 16. d. the velocity change of the second molecule depends on both the mass and the velocity of the first molecule. explain why it is the right answer too

The correct option is D.

Explanation: We are given two gas molecules with different masses. The collision between them is elastic, hence the Total Kinetic energy of the system is conserved.

Initial Kinetic Energy:

Final Kinetic Energy:

where,

= mass of first molecule

= mass of second molecule

= initial velocity of first molecule

= initial velocity of second molecule

= final velocity of first molecule

= final velocity of second molecule

Elastic Collision:

That is,

    .....(1)

We are given in the question that the final velocity of first molecule is decreased by 1/4, which means:

Putting this value in equation 1 , we get

taking on other side, we get

From the above relation, it is visible that the velocity change of the second molecule depends on both mass and velocity of the first molecule.

the reaction mixture contains some ammonia, plus a lot of unreacted nitrogen and hydrogen. the mixture is cooled and compressed, causing the ammonia gas to condense into a liquid. the liquefied ammonia is separated and removed. the unreacted nitrogen and hydrogen are then recycled back into the reactor .

a rain shadow is a dry region of land on the side that is protected against the prevailing winds of a mountain range. the prevailing winds are the winds that occur most of the time in a particular place of the earth

prevailing winds carry air toward the mountain range. as the air rises up over a mountain range, the air cools, water vapor condenses, and clouds form. on this side of the mountains, called the windward side, precipitation falls in the form of  rain  or snow. this dry air produces a  rain shadow.