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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

Which of the following quantities remain identical for all ideal gases at the same temperature?

Options

  1. AThe kinetic energy of 1 g
  2. BThe number of molecules in 1 mole
  3. CThe number of molecules in 1 g
  4. DThe kinetic energy of 1 mole

Correct answer

D. The kinetic energy of 1 mole

Step-by-step solution

The number of molecules in 1 mole of any substance is equal to Avogadro's number ( N_A = 6.022 10²³ ), which is a universal constant and identical for all gases. The average translational kinetic energy of 1 mole of an ideal gas is given by E = 3 2 RT . Since R is the universal gas constant, at a given temperature T , the kinetic energy of 1 mole is identical for all ideal gases. The number of molecules in 1 g is N_A M and the kinetic energy of 1 g is 3 2 RT M . Both of these quantities depend on the molar mass M o

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