Home
Class 11
CHEMISTRY
Assertion: In van der Waals equation (P+...

Assertion: In van der Waals equation `(P+(a)/(V^(2)))(V-b)=RT` pressure correction `(a//V^(2))` is due to the force of attraction between molecules.
Reason: Volume of gas molecule cannot be neglected due to force of attraction.

A

If both (`A`) and (`R`) are correct and (`R`) is the correct explanation of (`A`).

B

If both (`A`) and (`R`) are correct, but (`R`) is not the correct explanation of (`A`).

C

If (`A`) is correct, but (`R`) is incorrect.

D

If (`A`) is incorrect, but (`R`) is correct.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze the assertion and the reason provided, and determine their correctness based on the principles of the van der Waals equation. ### Step-by-Step Solution: 1. **Understanding the van der Waals Equation**: The van der Waals equation is given by: \[ \left(P + \frac{a}{V^2}\right)(V - b) = RT \] Here, \(P\) is the pressure, \(V\) is the volume, \(T\) is the temperature, \(R\) is the universal gas constant, \(a\) is a constant that accounts for the attractive forces between molecules, and \(b\) is a constant that accounts for the volume occupied by the gas molecules themselves. 2. **Analyzing the Assertion**: The assertion states that the pressure correction term \(\frac{a}{V^2}\) in the van der Waals equation is due to the force of attraction between molecules. This is correct because the term \(\frac{a}{V^2}\) accounts for the attractive forces that reduce the pressure exerted by the gas compared to an ideal gas. 3. **Analyzing the Reason**: The reason states that the volume of gas molecules cannot be neglected due to the force of attraction. This statement is incorrect. While the volume of gas molecules is indeed taken into account in the van der Waals equation (represented by the term \(b\)), it is not directly related to the force of attraction. The force of attraction is represented by the constant \(a\), while the volume consideration is separate. 4. **Conclusion**: - The assertion is **correct**: the pressure correction \(\frac{a}{V^2}\) is indeed due to intermolecular attractions. - The reason is **incorrect**: the volume of gas molecules is not neglected due to the force of attraction; rather, it is a separate consideration in the van der Waals equation. Thus, we can conclude that the assertion is true, and the reason is false. ### Final Answer: - Assertion: True - Reason: False

To solve the given question, we will analyze the assertion and the reason provided, and determine their correctness based on the principles of the van der Waals equation. ### Step-by-Step Solution: 1. **Understanding the van der Waals Equation**: The van der Waals equation is given by: \[ \left(P + \frac{a}{V^2}\right)(V - b) = RT ...
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER

    CENGAGE CHEMISTRY ENGLISH|Exercise Exercises (Integer)|10 Videos
  • STATES OF MATTER

    CENGAGE CHEMISTRY ENGLISH|Exercise Archives (Multiple Correct)|3 Videos
  • STATES OF MATTER

    CENGAGE CHEMISTRY ENGLISH|Exercise Exercises (Single Correct)|85 Videos
  • SOME BASIC CONCEPTS AND MOLE CONCEPT

    CENGAGE CHEMISTRY ENGLISH|Exercise Archives Subjective|11 Videos
  • STOICHIOMETRY

    CENGAGE CHEMISTRY ENGLISH|Exercise Archives Subjective|33 Videos

Similar Questions

Explore conceptually related problems

In the Van der Waals equation (P + (a)/(V^(2)))(V-b) = constant, the unit of a is

For the non-zero value of the force of attraction between gas molecules, gas equation will be

The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb) = nRT

In van der Waal's equations (P+a/(V^(2)))(V-b)=RT , what are the dimensions of the constants a and b?

In the van der Waal's equqtion, the term ((a)/(V^(2))) is introduced to correct for

In the van der Waals equation (P + (n^(2)a)/(V^(2)))(V - nb) = nRT the constant a reflects the actual volume of the gas molecules.

In the van der Waals equation (P + (n^(2)a)/(V^(2)))(V - nb) = nRT the constant a reflects the actual volume of the gas molecules.

In the Van der Waals equation (P + (n^(2)a)/(V^(2))) (V-nb) = nRT , why is the term n^(2)a//V^(2) positive in sign.

Using van der Waals equation (P+(a)/(V^(2)))(V-b)=RT , answer the following questions: At high pressure, the van der Waals equation gets reduced to

CENGAGE CHEMISTRY ENGLISH-STATES OF MATTER-Exercises (Assertion-Reasoning)
  1. Assertion: On cooling, the brown colour of nitrogen dioxide disappears...

    Text Solution

    |

  2. Assertion (A): SO(2) and Cl(2) are both bleaching agents. Reason (R ...

    Text Solution

    |

  3. Assertion: Nitrogen is unreactive at room temperature but becomes reac...

    Text Solution

    |

  4. Assertion: Noble gases can be liquefied. Reason: Attractive forces c...

    Text Solution

    |

  5. Assertion: Under similar conditions of temperature and pressure,O(2) d...

    Text Solution

    |

  6. Assertion: On compressing a gas to half the volume, the number of mole...

    Text Solution

    |

  7. Assertion: The plot of volume (V) versus pressure (P) at constant temp...

    Text Solution

    |

  8. Assertion: At constant temperature, if pressure on the gas is doubled,...

    Text Solution

    |

  9. Assertion: If H(2) and Cl enclosed separately in the same vessel exert...

    Text Solution

    |

  10. STATEMENT-1 : Most probable speed is the speed possessed by maximum fr...

    Text Solution

    |

  11. Assertion: Compressibility factor (Z) for non ideal gases is always gr...

    Text Solution

    |

  12. Assertion: van der Waals equation is applicable only to non-ideal gase...

    Text Solution

    |

  13. STATEMENT-1 : Helium shows only positive deviation from ideal behaviou...

    Text Solution

    |

  14. Assertion: Gases are easily adsorbed on the surface of metals, especia...

    Text Solution

    |

  15. Assertion: SO(2) gas is easily liquefied while H(2) is not. Reason: ...

    Text Solution

    |

  16. Assertion: Molecules of air in a room do not all fall and settle on th...

    Text Solution

    |

  17. Assertion: In van der Waals equation (P+(a)/(V^(2)))(V-b)=RT pressure ...

    Text Solution

    |

  18. STATEMENT-1 : A lighter gas diffuses mor rapidly than a heavier gas. ...

    Text Solution

    |

  19. Assertion: A gas can be easily liquefied at any temperature below is c...

    Text Solution

    |

  20. Assertion: At absolute zero temperature, vapour pressure, kinetic ener...

    Text Solution

    |