Statement-1 : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. [2007]

Question

Statement-1 : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.

because

Statement-2 : The molecules of a gas collide with each other and the velocities of the molecules change due to the collision. [2007]

Smart Achievers · Accepted Answer

(2)

The total translational kinetic energy of $n$ moles of gas

$= \frac{3}{2} n R T = 1.5 P V$ $(∵ P V = n R T)$

Yes, the molecules of a gas collide with each other and the velocities of the molecules change due to collision.

Solution

1 Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

2 Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

3 Statement-1 is True, Statement-2 is False

4 Statement-1 is False, Statement-2 is True

Ans.
(2)

The total translational kinetic energy of $n$ moles of gas

$= \frac{3}{2} n R T = 1.5 P V$ $(∵ P V = n R T)$

Yes, the molecules of a gas collide with each other and the velocities of the molecules change due to collision.

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