Home
Class 12
PHYSICS
How will a diffusion coefficient D and t...

How will a diffusion coefficient `D` and the viscosity coefficient `eta` of an ideal gas change it its volume increases `n` times :
(a) isothermally ,
(b) isobarically ?

Text Solution

Verified by Experts

`D alpha(sqrt(T))/(n) alpha V sqrt(T), eta alpha sqrt(T)`
(a) `D` will increase `n` times
`eta` will remain constant if `T` is constant
(b) `D alpha (T^(3//2))/(p) alpha((p V)^(3//2))/(p) = p^(1//2) V^(3//2)`
`eta alpha sqrt(p V)`
Thus `D` will increase `n^(3//2)` times, `eta` will increase `n^(1//2)` times, if `p` is constant.
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Phase Transformations|35 Videos
  • PHYSICAL FUNDAMENTALS OF MECHANICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Relativistic Mechanics|49 Videos

Similar Questions

Explore conceptually related problems

An ideal gas consists of rigid diatomic molecules. How will a diffusion coefficient D and viscosity coefficient eta change and how many times if the gas volume is decreased adiabatically n = 10 times ?

If the pressure of an ideal gas is decreased by 10% isothermally, then its volume will

As a result of a certain process the viscosity coefficient of an ideal gas increases alpha=2.0 times and its diffusion coefficient beta = 4.0 times. How does the gas pressure change and how many times ?

For an ideal gas PT^(11) = constant then volume expansion coefficient is equal to :-

The coefficient of cubical expansion of an ideal gas is _____ proportional to its absolute temperature.

Show that the volume thermal expansion coefficient for an ideal gas at constant pressure is (1)/(T) .

When an ideal gas is compressed isothermally then its pressure increase because:

Find the emtropy increment of one mole of carbon dioxide when its absolute temperature increases n = 2.0 times if the process of heating is (a) isochoric , (b) isobaric. The gas is to be regarded a ideal.

IE IRODOV, LA SENA & SS KROTOV-THERMODYNAMICS AND MOLECULAR PHYSICS-Transport Phenomena
  1. A vessel filled with gas is divided into two equal parts 1 and 2 by a ...

    Text Solution

    |

  2. As a result of a certain process the viscosity coefficient of an ideal...

    Text Solution

    |

  3. How will a diffusion coefficient D and the viscosity coefficient eta o...

    Text Solution

    |

  4. An ideal gas consists of rigid diatomic molecules. How will a diffusio...

    Text Solution

    |

  5. An ideal gas goes through a polytropic process. Find the polytropic ex...

    Text Solution

    |

  6. Knowing the viscosity coefficient of helium under standard conditions,...

    Text Solution

    |

  7. The heat conductivity of helium is 8.7 times that of argon (under stan...

    Text Solution

    |

  8. Under standard conditions helium fills up the space between two long c...

    Text Solution

    |

  9. A gas fills up the space between two long coaxial cylinders of radii R...

    Text Solution

    |

  10. Two identical parallel discs have a common axis and are located at a d...

    Text Solution

    |

  11. Solve the foregoing problem, assuming that the discs are located in an...

    Text Solution

    |

  12. Making use of Poiseuille's equation (1.7 d), find the mass mu of gas f...

    Text Solution

    |

  13. One end of a rod, enclosed in a thermally insulating sheath, is kept a...

    Text Solution

    |

  14. Two rods whose lengths are l1 and l2 and heat conductivity coefficien...

    Text Solution

    |

  15. A rof of length l with thermally insulated lateral surface consists of...

    Text Solution

    |

  16. Two chunks of metal with heat capacities C(1) and C(2), are interconne...

    Text Solution

    |

  17. Find the temperature distribution in a substance palced between two pa...

    Text Solution

    |

  18. The space between two large horizontal plates if filled with helium. T...

    Text Solution

    |

  19. The space between two large parallel plates separated by a distance l ...

    Text Solution

    |

  20. Find the temperature distribution in the space between two coaxial cyl...

    Text Solution

    |