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QJEEAdv07Ph5da3: JEE Advanced 2007 Physics - Class 11 JEEAdv07Ph5da3 Solution: STATEMENT 1 The total translational kinetic energy of all the…

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.

Multiple Choice Options

  • A Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
  • B Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct for Statement-1.
  • C Statement-1 is True, Statement-2 is False.
  • D Statement-1 is False, Statement-2 is True.

Step-by-Step Verified Solution

Statement 1 :

Total translational kinetic energy =32nRT

where,

n = no. of moles

R = gas constant

T = Temperature

but, PV = nRT

∴ K.E. = 1.5 PV

Statement 2 : Molecules of a gas collide with each other and the velocities of the molecules change due to collision.

But statement 2 is not a correct explanation of statement 1 .

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