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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?

 
Physics
Last Post by nikhil04 4 years ago
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19/09/2020 3:24 pm
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aditi07 
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Number of molecules in a volume of 4 cm3 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 cm2, density of mercury = 13.6 g/cm3).

(1) 5.8 × 1016

(2) 4.0 × 1016

(3) 4.0 × 1018

(4) 5.8 × 1018

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19/09/2020 3:27 pm
nikhil04 
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(3) 4.0 × 1018

Explanation:

N = PV/KT

U = 3/2 KT

∴ N = 3PV/2U = 3.99 x 1018

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