Home
Class 11
PHYSICS
A quantity of air is kept in a container...

A quantity of air is kept in a container having walls which are slightly conducting. The initial temperature and volume are `27^0C` (equal to the temperature of the surrounding) and `800cm^(3)` respectively. Find the rise in the temperature of the gas is compressed to `200 cm^(3)` (a) in a short time (b) in a long time . Take gamma= `1.4`.

Text Solution

Verified by Experts

The correct Answer is:
(i) 222 K (ii) Zero
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    SL ARORA|Exercise Exercise|342 Videos

  • THERMODYNAMICS

    SL ARORA|Exercise Problems from competitive examinations|22 Videos

  • Thermal Properties of Matter

    SL ARORA|Exercise Exercise|449 Videos

  • Units and Measurements

    SL ARORA|Exercise Exercise|499 Videos

Similar Questions

Explore conceptually related problems

A container having slightly conducting walls contains air. The initial temperature and volume are 47^(@)C (equal to the temperature of the surrounding) and 400cm^(3) respectively. Find the rise in the temperature if the gas is compressed to 200cm^(3) (a) in a short time (b) in a short time (b) in a along time. Take gamma = 1.4. [2^(0.4) = 1.3]

In fig. the walls of the container and the piston are weakly conducting. The initial pressure, volume and temperature of the gas are 200KPa, 800 cm^(3) and 100 K resp . Find the pressure and the temperature of the gas it it is (a) slowly compressed (b) suddenly compressed to 200 cm^(3) (gamma = 1.5) .

In a steady state of thermal conduction, temperature of the ends A and B of a 20 cm long rod are 100^(@)C and 0^(@)C respectively. What will be the temperature of the rod at a point at a distance of 6 cm from the end A of the rod

A quantity of air at normal temperature is compressed (a) slowly (b) suddenly to one third of its volume. Find the rise in temperature, if any in each case, gamma= 1.4 .

A gas is enclosed in a cylindrical can fitted with a piston. The walls of the can and the piston are adiabatic. The initial pressure , volume and temperture of the gas are 100 kpa, 400cm^(3) and 300k respectively. The ratio of the specific heat capacities of the gas is (C_p / C_v = 1.5) Find the pressure and the temperature of the gas if it is (a) suddenly compressed (b) slowly compressed to 100 cm^(3).

Calculate the rise in temperature when a gas, for which gamma = 1.5 is compressed to 27 times its original pressure, assuming the initial temperature to be 27^(@)C .

One mode of an ideal monatomic gas is kept in a rigid vessel. The vessel is kept inside a steam chamber whose temperature is 97^(@)C . Initially, the temperature of the gas is 5.0^(@)C . The walls of the vessel have an inner surface of area 800cm^(2) and thickness 1.0cm If the temperature of the gas increases to 9.0^(@)C in 0.5 second, find the thermal conductivity of the material of the walls.

Helium at 27^(@)C has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be [gamma=5//3]

monatomic ideal gas is contained in a rigid container of volume V with walls of totsl inner surface area A, thickness x and thermal condctivity K. The gas is at an initial temperature t_(0) and pressure P_(0) . Find tjr pressure of the gas as a function of time if the temperature of the surrounding air is T_(s) . All temperature are in absolute scale.

SL ARORA-THERMODYNAMICS-Problems for self practice
  1. A quantity of air at 27^(@)C and atmospheric pressure is suddenly comp...

    Text Solution

    |

  2. A quantity of air at normal temperature is compressed (a) slowly (b) s...

    Text Solution

    |

  3. A quantity of air is kept in a container having walls which are slight...

    Text Solution

    |

  4. A litre of hydrogen at 127^(@)C and 10^(6) dyne cm^(-2) pressure exp...

    Text Solution

    |

  5. Dry air at 15^@ C and 10 atm is suddenly released at atmospheric pres...

    Text Solution

    |

  6. Calculate the rise in temperature when a gas, for which gamma = 1.5 is...

    Text Solution

    |

  7. 1000 cm^(3) of argon at 27^(@)C is adiabatically compressed so that th...

    Text Solution

    |

  8. Calculate the work done if one mole of an ideal gas is compressed isot...

    Text Solution

    |

  9. One kilogram molecule of a gas at 400 K expands isothermally until its...

    Text Solution

    |

  10. Find the final value of a gram molecule of a gas after an isothermal e...

    Text Solution

    |

  11. One gram mole of an ideal gas at N.T.P is first expanded isothermally ...

    Text Solution

    |

  12. Calculate work done to compress isothermally 1g of hydrogen gas at N.T...

    Text Solution

    |

  13. Ten mole of hydrogen at N.T.P is compressed adiabatically so that it t...

    Text Solution

    |

  14. If 1 gram of oxygen at 760 mm pressure and 0^(@)C has its volume doubl...

    Text Solution

    |

  15. A sample of hydrogen of mass 6g is allowed to expand isothermally at 2...

    Text Solution

    |

  16. 50 g of oxygen at N.T.P. is compressed adiabatically to a pressure of ...

    Text Solution

    |

  17. Find the efficiency of a Carnot's engine working between 127^(@)C and ...

    Text Solution

    |

  18. A Carnot engine, whose temperature of the source is 400K receives 200 ...

    Text Solution

    |

  19. Calculate the efficiency of a Carnot engine operating between 450 K an...

    Text Solution

    |

  20. A Carnot engine whose low temperature reservoir is at 7^(@)C has an ef...

    Text Solution

    |