Home
Class 12
PHYSICS
Find out the unit and dimensions of the ...

Find out the unit and dimensions of the constants `a and b` in the van der Waal's equation `( P + (a)/(V^(2))) ( V - b ) = R t`, where `P` is pressure , `v` is volume , `R` is gas constant , and `T` is temperature.

A

Dyne`xxcm^5`

B

Dyne`xxcm^4`

C

Dyne`/(cm^3)`

D

Dyne`/(cm^2)`

Text Solution

Verified by Experts

The correct Answer is:
B

Units of a and `PV^2` are same and equal to dyne`xxcm^4`.
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Fill in the blanks type|26 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Comprehension Type|31 Videos
  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|54 Videos
  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS|Exercise Integer|5 Videos
  • CENTRE OF MASS CONVERSATION OF MOMENTUM AND COLLISION

    CENGAGE PHYSICS|Exercise Question Bank|38 Videos

Similar Questions

Explore conceptually related problems

Units of a and b in van der Waal's equation (P+(an^(2))/(V^(2)))(V-nb)=nRT are

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

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.

What is the unit of 'a' in terms of fundamental units in Van der waal's equation (P+(a)/(V^(2)))(V-b)=RT ?

In Vander Wall's equation (P +(a)/(V^2))(V - b) = RT What are the dimensions of a and b ? Here, P is pressure, V is volume, T is temperature and R is gas constant.

For a moles of gas ,Van der Weals equation is (p = (a)/(V^(-2))) (V - b) = nRT ltbr. Find the dimensions of a a and b , where p = pressure of gas ,V = volume of gas and T = temperature of gas .

The unit of the van der Waals gas equation parameter 'a' in (P+(an^(2))/(V^(2)))(V-nb)=nRT is :

The dimensions of Van der Waals constants a and b are respectively,

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. If x= at + bt^(2) , where x is the distance rtravelled by the body in...

    Text Solution

    |

  2. In S=a+bt+ct^2. S is measured in metres and t in seconds. The unit of ...

    Text Solution

    |

  3. Find out the unit and dimensions of the constants a and b in the van ...

    Text Solution

    |

  4. A watt is

    Text Solution

    |

  5. Experiment shows that two perfectly neutral parallel metal plates sepa...

    Text Solution

    |

  6. Select the pair whose dimensions are same

    Text Solution

    |

  7. Dimensional formula ML^(-1)T^2 does not represent the physical quantit...

    Text Solution

    |

  8. Which pair has the same dimensions?

    Text Solution

    |

  9. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  10. Which of the following is dimensionally correct?

    Text Solution

    |

  11. The equation of state for real gas is given by ((p + (a)/(V^(2))(V - b...

    Text Solution

    |

  12. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  13. The quantities A and B are related by the relation A//B = m, where m ...

    Text Solution

    |

  14. The velocity of a freely falling body changes as g^ph^qwhere g is acce...

    Text Solution

    |

  15. Which one of the following does not have tha same dimensions?

    Text Solution

    |

  16. A small steel ball of radius r is allowed to fall under gravity throug...

    Text Solution

    |

  17. An athlletic coach told his team that muscle times speed equals power....

    Text Solution

    |

  18. If P represents radiation pressure , C represents the speed of light ...

    Text Solution

    |

  19. If velocity v acceleration A and force F are chosen as fundamental qua...

    Text Solution

    |

  20. Two quantities A and B have different dimensions. Which mathematical o...

    Text Solution

    |