Home
Class 11
PHYSICS
The van der Waal's equation of state for...

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

A

`ML^(5)T^(-2)`

B

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

C

`M^(0)L^(3)T^(0)`

D

`M^(0)L^(6)T^(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS |Exercise ET Self Evaluation Test|23 Videos

  • VECTORS

    ERRORLESS |Exercise Exercise|223 Videos

Similar Questions

Explore conceptually related problems

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 dimensionsal representation of ab// RT 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. In the above problem , the dimensional formula for RT is same as that of

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. Which of the following does not have the same dimensional formula as that for RT?

The equation of state of some gases can be expressed as (P+ (a)/(V^(2)))(V-b)= RT , where P is the pressure, V is the volume, T is the absolute temperature and a, b & R are constants. The dimensions of 'a' are : -

The equation of the state of some gases can be expressed as (P +(a)/(V^(2))(V-b)=RT . Here P is the pressure, V is the volume, T is the absolute temperature and a, b, R are constants. The dimensions of (a)/(b) are

The equation of state of some gases can be expressed as , (P+(a)/(V^(2)))(V-b)=RY where P is the pressure, V the volume, T the absolute temperature and a, b, R are constants. The dimensions of 'a' are -

The equation of state of some gases can be expressed as (P + (a)/(V^(2))) = (R theta)/(V) where P is the pressure V the volume, theta The temperature and a and b are constant .The dimensional formula of a is

The van der Waals, equation for n moles of real gas is: (P+(n^(2)a)/(V^(2)))(V - nb) = nRT where P is the pressure, V is the volume , T is the absolute temperature, R is the molar gas constant and a, b are van der Waal's constant. Which of the following have the same dimension as those of PV ?

The Vander wall equation for 1 mole of a real gas is (P+ (a/V^2))(V-b) =RT where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and a, b are Vander waal constants. The dimensions of a is the same as those of

ERRORLESS -UNITS, DIMENSION & MEASUREMENTS-All Questions
  1. Which of the following is dimensionally correct

    Text Solution

    |

  2. Planck's constant has the dimension (unit) of

    Text Solution

    |

  3. The van der Waal's equation of state for some gases can be expressed a...

    Text Solution

    |

  4. If V denotes te potential difference across the plate of a capacitor o...

    Text Solution

    |

  5. If L denotes the inductance of an inductor through which a current i i...

    Text Solution

    |

  6. Of the following quantities , which one has the dimensions different f...

    Text Solution

    |

  7. A sperical body of mass m and radius r is allowed to fall in a medium ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The velocity of water wave v may depend on their wavelength lambda, th...

    Text Solution

    |

  11. The dimensions of Farad are

    Text Solution

    |

  12. The dimensional formula fo resistivity in terms of M,L,T and Q where ...

    Text Solution

    |

  13. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

    Text Solution

    |

  14. The dimensions of coefficient of thermal conductivity is

    Text Solution

    |

  15. Dimensional formula of velocity of sound is

    Text Solution

    |

  16. Dimensional formula of capacitance is

    Text Solution

    |

  17. MLT^(-1) represents the dimensional formula of

    Text Solution

    |

  18. Dimensional formula of heat energy is

    Text Solution

    |

  19. If C and L denote capacitance and inductance respectively, then the di...

    Text Solution

    |

  20. Which of the following quantities has the same dimensions as that of e...

    Text Solution

    |