Home
Class 12
PHYSICS
A horizontal tube of length l =100 cm cl...

A horizontal tube of length `l =100 cm` closed form both ends is displaced lengthwise with a constant acceleration `omega`. The tube contains argon at a temperature `T = 300 K`. At what value of `omega` will the argon concentrations at the tube's ends differ by `eta = 1.0 %` ?

Text Solution

Verified by Experts

The constant acceleration is equivalent to a pseudo force wherein a concentration gradient is set up. Then
`e^(- M_Aw 1//RT) = 1 - eta`
or `w = -(RT 1n(1 - eta))/(M_A l) = (eta RT)/(M_A l) = 70 g`.
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise The Second Law Of Thermodynamics - Entropy|47 Videos
  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Liquids Capillary Effects|25 Videos
  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise The First Law Of Thermodynamics - Heat Capacity|36 Videos
  • PHYSICAL FUNDAMENTALS OF MECHANICS

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

Similar Questions

Explore conceptually related problems

A horizontal tube with closed ends is rotated with a constant angular velocity omega about a vertical axis passing through one of its ends. The tube contains carbon dioxide at a temperature T = 300 K . The length of the tube is l = 100 cm . Find the value omega at which the ratio of molecular concentrations at the opposite ends of the tube is equal to eta = 2.0 .

A horizontal tube of length I closed at both ends contains an ideal gas of molecular weight M, The tube is roatated at a constant angular velocity omega about a vertical axis passing through an end. Assuming the temperature to be uniforme and constant, show that p_(2)=p_(1)e^((Momega^(2)l^(2))/(2RT), where p_(2) and p_(1)denote the pressures at the free end and the fixed end respetively.

A column of mercury of 10cm length is contained in the middle of a narrow horizontal 1m long tube which is closed at both the ends. Both the halves of the tube contain air at a pressure of 76 cm of mercury. By what distance will the column of mercury be displaced if the tube is held vertically?

Shows a cylindrical tube of radius 5cm and length 20cm. It is closed by a tight-fitting cork. The friction coefficient between the cork and the tube is 0.20. The tube contains an ideal gas at a pressure of 1atm and a temperature of 300K. The tube is slowly heated and it is found that the cork pops out when the temperature reaches 600K. Let dN denote the magnitude of the normal contact force exerted by a small length dl of the cork along the perphery (see the figure). Assuming that the temperature pf the gas is uniform at any instant, calculate(dN)/(dl).

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then roted in a horizontal plane about one of its ends with a uniform angular velocity omega The force exerted by the liquid at the other end is

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends . The tube is then rotated in a horizontal plane about one of its end with a uniform angular velocity omega . Find the force exerted by the liquid at the other end .

IE IRODOV, LA SENA & SS KROTOV-THERMODYNAMICS AND MOLECULAR PHYSICS-Kinetic Theory Of Gases
  1. Making use of the Maxwell distribution function, calculate the number ...

    Text Solution

    |

  2. Using the Maxwell distribution function, determine the pressure extert...

    Text Solution

    |

  3. Making use of the Maxwell distribution function, find lt lt 1//v gt gt...

    Text Solution

    |

  4. A gas consists of molecules of mass m and is at a temperature T. Maki...

    Text Solution

    |

  5. What fraction of monatomic molecules of a gas a in a thermal equilibri...

    Text Solution

    |

  6. What fraction of molecules in a gas at a temperature T has the kinetic...

    Text Solution

    |

  7. The velocity distribution of molecules in a beam coming out of a hole ...

    Text Solution

    |

  8. An ideal gas consisting of molecules of mass m with concentration n ha...

    Text Solution

    |

  9. From the conditions of the foregoing problem find the number of molec...

    Text Solution

    |

  10. Find the force exerted on a particle by a uniform field if the concent...

    Text Solution

    |

  11. When examining the suspended gamboge droplets under a microscope, thei...

    Text Solution

    |

  12. Suppose that eta0 is the ratio of the molecular concentration of hydro...

    Text Solution

    |

  13. A tall vertical vessel contains a gas composed of two kinds of molecul...

    Text Solution

    |

  14. A very tall vertical cylinder contains carbon dioxide at a certain tem...

    Text Solution

    |

  15. A very tall vertical cylinder contains a gas at a temperature true T. ...

    Text Solution

    |

  16. A horizontal tube of length l =100 cm closed form both ends is displac...

    Text Solution

    |

  17. Find the mass of a mole of colloid particles if during their centrifug...

    Text Solution

    |

  18. A horizontal tube with closed ends is rotated with a constant angular ...

    Text Solution

    |

  19. The potential energy of gas molecules in a certain certral field depen...

    Text Solution

    |

  20. From the conditions of the foregoing problem find : (a) the number o...

    Text Solution

    |