Home
Class 11
PHYSICS
Two moles of an ideal monoatomic gas are...

Two moles of an ideal monoatomic gas are contained in a vertical cylinder of cross sectional area `A` as shown in the figure. The piston is frictionless and has a mass m. At a certain instant a heater starts supplying heat to the gas at a constant rate `q J//s`. Find the steady velocity of the piston under isobaric condition. All the boundaries are thermally insulated.

Text Solution

Verified by Experts

The correct Answer is:
`(2q)/(5(mg+P_(0)A))`
`dQ_(p) = nC_(p)dT`
Let heat be supplied for time dt
`:. qdt =2. (5R)/(2). ([(mg)/(A)+P_(0)]Adx)/(2R)`
where `[dT = (Pdv)/(nR)]`
`:. qdt = (5)/(2) (mg +P_(0)A) dx`
`:. (dx)/(dt) = (2q)/(5(mg+P_(0)A))`.
Promotional Banner

Topper's Solved these Questions

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise Advancel Level Problems|1 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE|Exercise Exercise|64 Videos

  • MAGNETIC FIELD AND FORCES

    RESONANCE|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

2000 mole of an ideal diatmic gas is enclosed in a vertica cylinder fitted with a piston and spring and spering as shown in the figeur. Initially, the spring is compressed by 5 cm and then the electric heater stats supplying energy to the gas at constant rate of 100 J//s and due to conduction through walls of cylinder and radiation, 20 J//s has been lost to surrounding. [k=1000N//m,g=10m//s^(2) , Atmospheric pressure, p_(0)=10^(5)N//m^(2) , Cross-section area of piston A=50cm^(2) Mass of piston m =1kg,R=8.3kJ//mol-K ] Based on above information, answer the following question : Work done by the gas in t=5 s is

2000 mole of an ideal diatmic gas is enclosed in a vertica cylinder fitted with a piston and spring and spering as shown in the figeur. Initially, the spring is compressed by 5 cm and then the electric heater stats supplying energy to the gas at constant rate of 100 J//s and due to conduction through walls of cylinder and radiation, 20 J//s has been lost to surrounding. [k=1000N//m,g=10m//s^(2) , Atmospheric pressure, p_(0)=10^(5)N//m^(2) , Cross-section area of piston A=50cm^(2) Mass of piston m =1kg,R=8.3kJ//mol-K ] Based on above information, answer the following question : Increase in temperature of gas in 5 s is

2000 mole of an ideal diatmic gas is enclosed in a vertica cylinder fitted with a piston and spring and spering as shown in the figeur. Initially, the spring is compressed by 5 cm and then the electric heater stats supplying energy to the gas at constant rate of 100 J//s and due to conduction through walls of cylinder and radiation, 20 J//s has been lost to surrounding. [k=1000N//m,g=10m//s^(2) , Atmospheric pressure, p_(0)=10^(5)N//m^(2) , Cross-section area of piston A=50cm^(2) Mass of piston m =1kg,R=8.3kJ//mol-K ] Based on above information, answer the following question : The initial pressure of the gas is

A vertical cylinder pistion system has cross-section S . It contains 1 mole of an ideal monoatomic gas under a pistion of mass M .At a certain instant a heater is switched on which transmits a heat Q per unit constant and the system is thermally insulated.

A vertical cylinder of cross-section area A contains one mole of an ideal mono-atmic gas under a piston of mass M At a certain instant a heater which supplies heat at the rate q J//s is switched ON under the piston. The velocity with which the piston moves upward under the condition that pressure of gas remains constant is [Assume on heat transfer through walls of cylinder]

2 moles of a diatomic gas are enclosed in a cylinder piston arrangment. The area of cross section and mass of the piston are 1 cm^(2) and 1 kg respectively. A heater is supplying heat to the gas very slowly. Find heat supplied (in joule) by the heater is the piston moves through a distance of 10 cm. .

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)

Two moles of an ideal monoatomic gas are confined within a cylinder by a massless and frictionless spring loaded piston of cross-sectional area 4 xx 10^(-3)m^(2) . The spring is, initially in its relaxed state. Now the gas is heated by an electric heater, placed inside the cylinder, for some time. During this time, the gas expands and does 50J of work in moving the piston through a distance 0.10m . The temperature of the gas increases by 50K . Calculate the spring constant and the heat supplied by the heater. P_(atm) = 1 xx 10^(5)N//m^(2)R = 8.314 J//mol-K

Two mole of an ideal monatomic gas are confined within a cylinder by a mass less spring loaded with a frictionless piston of negligible mass and crossectional area 4xx10^(-3)m^(2) . The gas is heated by a heater for some time. During this time the gas expands and does 50J of work in moving the piston through a distance of 0.01 m. The temperature of gas increases by 50 k. Heat supplied by heater during this process is

RESONANCE-KTG & THERMODYNAMICS-SUBJECTIVE QUESTIONS
  1. Find the pressure of air in a vessel being evacuated as a function of ...

    Text Solution

    |

  2. Find the maximum attainable temperature of ideal gas in each of the fo...

    Text Solution

    |

  3. Two moles of an ideal monoatomic gas are contained in a vertical cylin...

    Text Solution

    |

  4. A piston can freely move inside a horizontal cylinder closed from both...

    Text Solution

    |

  5. At 27^@C two moles of an ideal monoatomic gas occupy a volume V. The g...

    Text Solution

    |

  6. A vertical hollow cylinder contains an ideal gas. The gas is enclosed ...

    Text Solution

    |

  7. A sample of 2 kg of monatomic helium (assumed ideal) is taken through ...

    Text Solution

    |

  8. Two moles of an ideal monoatomic gas are confined within a cylinder by...

    Text Solution

    |

  9. Two vessels A and B, thermally insulated, contain an ideal monoatomic ...

    Text Solution

    |

  10. One mole of a diatomic ideal gas (gamma=1.4) is taken through a cyclic...

    Text Solution

    |

  11. In the given figure, an ideal gas changes it state from A to state C b...

    Text Solution

    |

  12. One mole of an ideal monoatomatic gas is taken round the cylic process...

    Text Solution

    |

  13. Two moles of an ideal monoatomic gas, initially at pressure p1 and vol...

    Text Solution

    |

  14. A weightless piston divides a thermally insulated cylinder into two pa...

    Text Solution

    |

  15. Two containers A and B of equal volume V(0)//2 each are connected by a...

    Text Solution

    |

  16. In given figure, an adiabatic cylindrical tube of volume 2V(0) is divi...

    Text Solution

    |

  17. In the given figure a glass tube lies horizontally with the middle 20c...

    Text Solution

    |

  18. A cylindrical tube with adiabatic walls having volume 2V(0)contains an...

    Text Solution

    |

  19. A mass of 8g of oxygen at the pressure of one atmosphere and at temper...

    Text Solution

    |

  20. An ideal gas ((C(p))/(C(v))=gamma)has initial volume V(0) is kept in a...

    Text Solution

    |