Home
Class 12
PHYSICS
The equation of state for real gas is gi...

The equation of state for real gas is given by `((p + (a)/(V^(2))(V - b) = RT`. The dimension of the constant `a` is ………………. .

A

`ML^5T^-2`

B

`ML^(-1)T^(-2)`

C

`M^0L^3T^0`

D

`M^0L^6T^0`

Text Solution

Verified by Experts

The correct Answer is:
A
By principle of dimensional homogeneity `[(a)/(V^2)]=[P]`
`[a]=[P][V^2]=[ML^-1T-2]xx[L^6]=[ML^5T^-2]`
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

The equation of a state of a real gas is given by (P + (a)/(V^(2))) (V - b) = RT , where T is absolute temperature, P is pressure, V is volume and R is universal gas constant. What are the dimensions of constant a and b ?

The equation of state of a real gas is given by (P+a/V^(2)) (V-b)=RT where P, V and T are pressure, volume and temperature resperature and R is the universal gas constant. The dimensions of the constant a in the above equation is

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of constant b are

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensions of a are

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. The dimensionsal representation of ab// RT is

CENGAGE PHYSICS-CENGAGE PHYSICS DPP-Single Correct Answer type
  1. The dimensional formul for impulse is same as the dimensional formula ...

    Text Solution

    |

  2. Which of the following is dimensionally correct?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A force F is given by F = at + bt^(2) , where t is time . What are the...

    Text Solution

    |

  14. If the speed of light c, acceleration due to gravity (g) and pressure ...

    Text Solution

    |

  15. If the time period (T)of vibration of a liquid drop depends on surface...

    Text Solution

    |

  16. If pressure P, velocity V and time T are taken as fundamental physical...

    Text Solution

    |

  17. If the energy ( E) ,velocity (v) and force (F) be taken as fundamental...

    Text Solution

    |

  18. A physical quantity x depends on quantities y and z as follows : x = ...

    Text Solution

    |

  19. If the velocity of light (c ) , gravitational constant (G) , and Planc...

    Text Solution

    |

  20. If "force" F, "length" L and "time T" are taken as fundamental units ...

    Text Solution

    |