Home
Class 11
PHYSICS
A cylinder containing an ideal gas is in...

A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased

A

both p and v of the gas will change

B

only p will increase according to Charles' law

C

V will change but not p

D

p will change but not V

Text Solution

Verified by Experts

Consider the diagram where an ideal gas is contained in a cylinder, having a piston of mass M. Friction is absent.

the pressure inside the gas will be ltbr. `p=p_(a) + Mg//A`
Where `p_(a)=` atmospheric pressure
`A =` are of cross -section of the piston.
Hence, p = constant.
When temperature increases
as `pV =nRT rArr` volume (V) increases at constant pressure.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NCERT EXEMPLAR|Exercise Long Answer type question|5 Videos
  • LAWS OF MOTION

    NCERT EXEMPLAR|Exercise Long answer Type Questions|9 Videos

Similar Questions

Explore conceptually related problems

An insulated cylinder contains nitrogen gas which is sealed on the top by a heavy metal piston of mass m. piston is free to move with negligible friction, initial height of the piston is 0.3 m at temperature 27^(@)C when it is givenn some heat with the help of an electrical circuit piston slowly rises to height 0.5 m above the bottom of the cylinder. During expansion of te gas, net heat absorbed by the nitrogen gas:

A closed box contains an ideal gas if temperature of gas increased which

A cylindrical container has insulating wall and an insulating piston which can freely move up and down without any friction. It contains a mixture of ideal gases. Originally the gas is at atmospheric pressure P_(0) and temperature (T_(0)) . A tap positioned above the container is opened and it supplies water at a constant rate of (dm)/(dt)= 0.25 kg//s . The water collects above the piston in the container and the gas compresses. The tap is kept open till the temperature of the gas is doubled. During the process the T vs (1)/(V) graph for the gas was recorded and found to be a parabola with its vertex at origin as shown in the graph. Area of piston A = 1.515 xx 10^(-3) m^(2) and atmospheric pressure = 10^(5) N//m^(2) (a) Find the ratio of V_(rms) and speed of sound in the gaseous mixture. (b) For how much time the tap was kept open?

A conducting container containing an ideal gas (He) is kept in ice-water mixture for long time. Now the piston is suddenly moved up so that its volume becomes eight times. Final temperature of gas will be:

A resistance coil, connected to an external battery is placed inside an adiabatic cylinder filled with frictionless piston of mass m and containing an ideal gas. A current i flows through the coil, which has resistance R . The speed with which the piston must move in order to keep the temperature of the gas constant will be

The fixed non-conducting cylinder shown in figure has a noconducting heavy piston of mass M that can slide without friction. The area of piston is S and the cylinder is filled with an ideal gas (lambda=1.5) with an initial volume V and an initial pressure P . Assume that the outside pressure on the piston is zero (vaccum). (Neglect acceleration due to gravity). For the temperature of the gas to drop to one half of its original value. the piston will have to move by a distance:

The fixed non-conducting cylinder shown in figure has a noconducting heavy piston of mass M that can slide without friction. The area of piston is S and the cylinder is filled with an ideal gas (lambda=1.5) with an initial volume V and an initial pressure P . Assume that the outside pressure on the piston is zero (vaccum). (Neglect acceleration due to gravity). After the piston has moved by distance S . Its velocity is:

The fixed non-conducting cylinder shown in figure has a noconducting heavy piston of mass M that can slide without friction. The area of piston is S and the cylinder is filled with an ideal gas (lambda=1.5) with an initial volume V and an initial pressure P . Assume that the outside pressure on the piston is zero (vaccum). (Neglect acceleration due to gravity). The initial acceleration of piston is:

(i) A horizontal cylinder is fitted with a smooth movable piston. The cylinder contains an ideal gas. The gas is heated slowly so that the piston gradually moves out. After moving out for some distance the piston encounters an ideal spring and compresses it while moving out. Draw P – V diagram for the entire process. (ii) One mole of an ideal gas is expanded isothermally at temperature T_(0) to double its volume from V_(0) to 2V_(0) . Draw a graph showing the variation of volume (V) of the gas versus the amount of heat (Q) added to it.

NCERT EXEMPLAR-KINETIC THEORY-Multiple Choice Questions (MCQs)
  1. Mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 3...

    Text Solution

    |

  2. Boyles's Law is applicable for an

    Text Solution

    |

  3. A cylinder containing an ideal gas is in vertical position and has a p...

    Text Solution

    |

  4. Volume versus temperature graphs for a given mass of an ideal gas are ...

    Text Solution

    |

  5. 1 mole of H(2) gas in contained in a box of volume V 1.00 m^(3) at T =...

    Text Solution

    |

  6. A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mo...

    Text Solution

    |

  7. An inflated rubber ballon contains one mole of an ideal gas , has a p...

    Text Solution

    |

  8. ABCDEFGH is a hollow cube made of an insulator (figure) face ABCD has...

    Text Solution

    |

  9. Diatomic molecules like hydrogen have energies due to both translation...

    Text Solution

    |

  10. In a diatiomic molecule, the rotational energy at a given temperature

    Text Solution

    |

  11. Which of the following diagrams (figure) depicts ideal gas behaviour?

    Text Solution

    |

  12. When an ideal gas is compressed adiabatically , its temperature rises ...

    Text Solution

    |

  13. Caculate the number of atoms in 39.4 g gold. Molar mass of gold is 197...

    Text Solution

    |

  14. The volume of a given mass of a gas at 27^(@)C, 1 atm is 100cc. What w...

    Text Solution

    |

  15. The molecules of a given mass of a gas have root mean square speeds of...

    Text Solution

    |

  16. Two molecules of a gas have speeds of 9xx10^(6) ms^(-1) and 1xx10^(6) ...

    Text Solution

    |

  17. A gas mixture consists of 2.0 moles of oxygen and 4.0 moles of neon a...

    Text Solution

    |

  18. Calculate the ratio of the mean free paths of the molecules of two gas...

    Text Solution

    |

  19. The container shown in figure has two chambers separated by a partitio...

    Text Solution

    |

  20. A gas mixture consists of molecules of A,B and C with masses m(A) g...

    Text Solution

    |