Home
Class 12
PHYSICS
An ideal gas of molar mass M is containe...

An ideal gas of molar mass `M` is contained in a very tall vertical cylindrical vessel in the uniform gravitational field in which the free-fall acceleration equals to `T`, find the height at which the centre of gravity of the gas is located.

Text Solution

AI Generated Solution

To find the height at which the center of gravity of an ideal gas is located in a tall vertical cylindrical vessel under a uniform gravitational field, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have an ideal gas contained in a tall vertical cylinder. - The gas is under a uniform gravitational field with acceleration `g`. - The temperature is uniform throughout the gas. ...
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise The First Law Of Thermodynamics - Heat Capacity|36 Videos
  • THERMODYNAMICS AND MOLECULAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Kinetic Theory Of Gases|51 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 of molar mass M is located in the uniform gravitational field in which the free-fall acceleration is equal to g . Find the gas pressure as a function of height h . If p = p_0 at h = 0 , and the temperature varies with height as (a) T = T_0 (1 - ah) , (b) T = T_0 (1 + ah) , where a is a positive constant.

An ideal gas of molar mass M is contained in a tall vertical cylindrical vessel whose base area is S and height h . The temperatuer of the gas is T , its pressure on the bottom bass is p_0 . Assuming the temperature and the free-fall acceleration g to be independent of the height, find the mass of gas in the vessel.

A tall cylindrical vessel with gaseous nitrogen is located in a uniform gravitational field in which the free-fall acceleration is equal to g . The temperature of the nitrogen varies along the height h so that its density is the same throught the volume. find the temperature gradient dT//dh .

On the pole of the Earth a body is imparted velocity v_0 directed vertically up. Knowing the radius of the Earth and the free-fall acceleration on its surface, find the height to which the body will ascend. The air drag is to be neglected.

A tall vertical vessel contains a gas composed of two kinds of molecules of masses m_1 and m_2 . With m_2 gt m_1 . The concentrations of these molecules at the bottom of the vessel are equal to n_1 and n_2 respectively, with n_2 gt n_1 . Assuming the temperature T and the free-fall acceleration g to be independent of the height, find the height at which the concentrations of these kinds of molecules are equal.

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature T_(0)=400 K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure =10^(5)N//m^(2)

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the cylinder have equal cross - section area A. When the piston is in equilibrium, the volume of the gas is (V_0) and the its pressure is (P_0). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, Show that the piston executes simple harmonic motion and find the frequency of oscillations.

A stationary vertical cylindrical container of very large height filled with a gas of molar mass M at constant Temperature. The pressure at the bottom is P_(1) and at the top is P_(2) . If the acceleration due to gravity is assumed to be constant for the whole cylinder, which is equal to g. Then the height of the cylinder is :

A square loop of side 1 mass m and resistance R falls vertically into a uniform magnetic field directed perpendicular to the plane of the coil.The height h through which the loop falls so that it attains terminal velocity on entering the region of magnetic field is given by

IE IRODOV, LA SENA & SS KROTOV-THERMODYNAMICS AND MOLECULAR PHYSICS-Transport Phenomena
  1. An ideal gas of molar mass M is contained in a very tall vertical cyli...

    Text Solution

    |

  2. Calculate what fraction of gas molecules (a) traverses without colli...

    Text Solution

    |

  3. A narrow molecular beam makes its way into a vessel filled with gas un...

    Text Solution

    |

  4. Let alpha dt be the probability of a sgas molecule experiencing a coll...

    Text Solution

    |

  5. Find the mean free path and the mean time interval between successive ...

    Text Solution

    |

  6. How many times does the mean free path of nitrogen molecules exceed th...

    Text Solution

    |

  7. Find the mean free path of gas molecules under standard conditions if ...

    Text Solution

    |

  8. An acoustic wave alphaagates through nitrogen under standard condition...

    Text Solution

    |

  9. Oxygen is enclosed at the temperature 0 ^@C in a vessel with the chara...

    Text Solution

    |

  10. For the case of nitrogen under standard conditions find : (a) the me...

    Text Solution

    |

  11. How does the mean free path lamda and the number of collisions of each...

    Text Solution

    |

  12. As a result of some process the pressure of an ideal gas increases n-f...

    Text Solution

    |

  13. An ideal gas consisting of rigid diatimic molecules goes through an ad...

    Text Solution

    |

  14. An ideal gas goes through a polytropic process with exponent n. Find t...

    Text Solution

    |

  15. Determine the molar heat capacity of a polytropic process through whic...

    Text Solution

    |

  16. An ideal gas of molar mass M is enclosed in a vessel of volume of V wh...

    Text Solution

    |

  17. A vessel filled with gas is divided into two equal parts 1 and 2 by a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |