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Assertion (A): At very high densities, compressibility of a real gas is less than one.   
Reason (R): As the temperature is considerably reduced, the molecules are brought closer together and thermonuclear attractive forces become greater at pressures around 4 MPa.
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): At very high densities, compressibility of a real gas i...
False Assertion and True Reason

Assertion: At very high densities, compressibility of a real gas is less than one.


Reason: As the temperature is considerably reduced, the molecules are brought closer together and thermonuclear attractive forces become greater at pressures around 4 MPa.

The compressibility factor (Z) of a gas is defined as the ratio of actual volume to the volume that would be occupied by an ideal gas at the same temperature and pressure. At high densities, the compressibility factor of a real gas is less than one, which means that the gas is less compressible than an ideal gas.

The reason for this is that at high densities, the intermolecular forces between the gas molecules become significant. As the temperature is reduced, the molecules move more slowly and are brought closer together, which increases the strength of these intermolecular forces. At pressures around 4 MPa, the attractive forces between the molecules become strong enough to overcome their kinetic energy, and the compressibility factor drops below one.

However, the assertion that compressibility of a real gas is always less than one at high densities is false. There are certain gases, such as hydrogen and helium, which have compressibility factors greater than one at high densities. This is because their molecules are so small and have such low intermolecular forces that they behave more like ideal gases even at high densities.

Therefore, the correct answer is option D – A is false but R is true.
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Assertion (A): At very high densities, compressibility of a real gas is less than one. Reason (R): As the temperature is considerably reduced, the molecules are brought closer together and thermonuclear attractive forces become greater at pressures around 4 MPa.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?
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