A vessel has N2 gas and water vapours at a total pressure of 1 atm. The partial pressure of water vapours is 0.3 atm. The contents of this vessel are transferred to another vessel having one third of the capacity of original volume, completely at the same temperature. The total pressure of this system in the new vessel is:
Correct answer: D. 2.4 atm
- A. 3.0 atm
- B. 1 atm
- C. 3.33 atm
- D. 2.4 atm
Explanation
PN2+PH2O =1 atmPH2O =0.3 atmPN2 =0.7 atmNow, new pressure of N2 in another vessel of volume V3 at same temperature T is given byP1V1=P2V2PN2×V/3=0.7V∴ PN2=2.1 atmSince, aqueous tension remains contant, and thus, total pressure in new vessel=PN2+PH2O =2.1+0.3=2.4 atm
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About Ideal Gas Equation
The ideal gas equation, PV = nRT, relates pressure, volume, amount and absolute temperature when gas particles are assumed to have negligible volume and no intermolecular forces. Applications include finding molar mass, density or an unknown gas variable, with careful use of Kelvin temperature and consistent units, and comparison with real-gas behaviour.
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