Home
Class 12
PHYSICS
A gas at constant pressure P1, volume V...

A gas at constant pressure `P_1, volume V_1` and temperture `T_1` is suddenly compressed to `V_1/2` and then slowly expanded to `V_1` again.Find the final temperature and pressure.

Text Solution

Verified by Experts

The correct Answer is:
`2^(gamma-1) P_1` and `2^(gamma-1)T_2`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS LAWS & SPECIFIC HEATS OF GASES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 3.1|6 Videos
  • THERMODYNAMICS LAWS & SPECIFIC HEATS OF GASES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 3.3|10 Videos
  • THERMODYNAMICS LAWS & SPECIFIC HEATS OF GASES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs with One or More Options Correct|10 Videos
  • PHOTOELECTRIC EFFECT AND MATTER WAVES

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved numerical problems|42 Videos
  • WAVE OPTICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|28 Videos

Similar Questions

Explore conceptually related problems

An inflated rubber balloon contains one mole of an ideal gas has a pressure p, volume V and temperature T. if the temperature rises to 1.1 T, and the volume is increased to 1.05 V, the final pressure will be

An inflated rubber ballon contains one mole of an ideal gas , has a pressure P, volume V and temperature T. If the temperature rises to 1.1 T, and the volume isincreased to 1.05 V, the final pressure will be

A Gas is enclosed in a metallic container of volume Vand its initial pressure is p. It is slowly compressed to a volume V/2 and then suddenly compressed to V/4. Find the final pressure of the gas. From the initial state the gas is suddenly compressed to V/2 and then slowly compressed to V/4, what will be the final pressure now.

An ideal gas in a thermally insulated vessel at internal pressure =P_(1) , volume =V_(1) and absolute temperature =T_(1) expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P_(2), V_(2) and T_(2) respectively. For this expansion.

An ideal gas intially has pressure P volume V and temperature T . Its is isothermally expanded to four times of its original volume, then it is compressed at constant pressure to attain its original volume V . Finally, the gas is heated at constant volume to get the original temperature T . (a) Draw V-T curve (b) Calculate the total work done by the gas in the process.(given ln2 = 0.693)

The initial pressure and volume of a given mass of a gas (C_p / C_v = gamma) are (p_0) and (V_0). The gas can exchange heat with surrounding. (a) It is slowly compressed to a volume (V_0 / 2 ) and then suddenly compressed to (V_0 /4) . Find the final pressure. (b) If the gas is suddenly cpmpressed from the volume (V_0 to V_0 / 2 ) and then slowly compressed to (V_0 / 4 ) , What will be the final pressure?.

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and final pressure P_(I) . The same gas is expanded adiabatically to a volume 2V and final pressure in this case is P_(A) . In terms of the ratio of the two specific heats for the gas gamma , the ratio P_(I)//P_(A) is

A gas for which gamma=1.5 is suddenly compressed to 1//4 th of the initial volume. Then the ratio of the final to initial pressure is

PHYSICS GALAXY - ASHISH ARORA-THERMODYNAMICS LAWS & SPECIFIC HEATS OF GASES -Unsolved Numerical Problems
  1. One cubic metre of air at 27^(@)C and 10^(5)Nm^(-2) pressure weighs 1....

    Text Solution

    |

  2. As a result of heating a mole of an ideal gas at constant pressure by ...

    Text Solution

    |

  3. A gas at constant pressure P1, volume V1 and temperture T1 is suddenl...

    Text Solution

    |

  4. A cubic metre of dry air at NTP is allowed to expand to 5 cubic metres...

    Text Solution

    |

  5. A thermally insulated vessel with gaseous nitrogen at a temperature of...

    Text Solution

    |

  6. As a result of the isobaric heating by DeltaT=72 K one mole of a cert...

    Text Solution

    |

  7. What amount of heat is to be transferred to nitrogen in an isobaric he...

    Text Solution

    |

  8. Five moles of neon gas (molecular weight=20) at 2 atm and 27^@C is adi...

    Text Solution

    |

  9. Calculate the change in temperature when a gas (gamma= 1.4) is suddenl...

    Text Solution

    |

  10. One mole of oxygen being initially at a temperature T0 = 290 K is adia...

    Text Solution

    |

  11. One mole of oxygen being initially at a temperature T0 = 290 K is adia...

    Text Solution

    |

  12. Find the ratio of number of moles of a monoatomic and a diatomic gas w...

    Text Solution

    |

  13. A gas is enclosed in a cylindrical vessel fitted with a frictionless p...

    Text Solution

    |

  14. One cubic metre of hydrogen at 0^(@)C and 76cm and of Hg weighs 0.0896...

    Text Solution

    |

  15. A gass of given mass at a pressure of 10^(5)Nm^(-2) expands isothermal...

    Text Solution

    |

  16. A vessel containing one gram-mole of oxygen is enclosed in a thermally...

    Text Solution

    |

  17. An ideal gas with the adiabatic exponent gamma undergoes a process in ...

    Text Solution

    |

  18. An ideal gas with the adiabatic exponent gamma undergoes a process in ...

    Text Solution

    |

  19. Two moles of an ideal gas at temperature T(0) = 300 K was cooled isoch...

    Text Solution

    |

  20. Suppose that 5 g of helium gas is heated from -30^@C to 120^@C. Find i...

    Text Solution

    |