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JEE Main20205 Sep 2020Morning ShiftPhysicsKinetic Theory of GasesActual

Number of molecules in a volume of 4 cm 3 of a perfect monoatomic gas at some temperature T and at a pressure of 2 cm of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is 4 × 10 − 14 erg , g = 980 cm s - 2 density of mercury = 13 . 6 g cm - 3 )

Options

  1. A4 .8 × 10 18
  2. B4 . 0 × 10 16
  3. C5 . 8 × 10 16
  4. D5 . 8 × 10 18

Correct answer

A. 4 .8 × 10 18

Step-by-step solution

N = P V K T U = 3 2 K T ∴    N = 3 P V 2 U = 3 . 99 × 10 18

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