Home
Class 11
PHYSICS
A diatomic ideal gas is used in a Carnot...

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle the volume of the gas increase from V to 32V, the efficiency of the engine is

A

`0.5`

B

`0.75`

C

`0.99`

D

`0.25`

Text Solution

Verified by Experts

The correct Answer is:
B
`TV^(gamma-1) = constant`
`T_(1)V^((7)/(5)-1) = T_(2) (32V)^((7)/(5)-1) , (T_(2))/(T_(1)) = (1)/((32)^(2//5)) = (1)/(4)`
`eta = 1 - (T_(2))/(T_(1)) = 1- (1)/(4) = (3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • KTG & THERMODYNAMICS

    RESONANCE ENGLISH|Exercise Advancel Level Problems|1 Videos

  • KTG & THERMODYNAMICS

    RESONANCE ENGLISH|Exercise SUBJECTIVE QUESTIONS|27 Videos

  • KTG & THERMODYNAMICS

    RESONANCE ENGLISH|Exercise PART - I|18 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise|64 Videos

  • MAGNETIC FIELD AND FORCES

    RESONANCE ENGLISH|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

A monoatomic ideal gas is used in a carnot engine as the working substance. If during the adiabatic expansion the volume of the gas increases from (V)/(8) to V, the efficiency of the engine is

During an adiabatic reversibly expansion of an ideal gas

A diatomic gas is used in car not heat engine having efficiency 80% . Find the ratio of initial volume to final volume of gas during adiabatic expansion.

During adiabatic expansion of ideal gas, which is correct ?

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increase as V^q , where V is the volume of the gas. The value of q is : (gamma=(C_p)/(C_v))

An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to ____________

A cycle followed by an engine (made of one mole of perfect gas in a cylinder with a piston) is shown in figure. A to B volume constant, B to C adiabatic, C to D volume constant and D to A adiabatic " "V_(C)=V_(D)=2V_(A) = 2V_(B) (a) In which part of the cycle heat is supplied to the engine form outside? (b) In which part of the cycle heat is being given to the surrounding by the engine ? (c ) What is the work done by the engine in one cycle ? Write your answer in term of p_(A),p_(B),V_(A) ? (d) What is the efficiency of the engine ? " "(gamma=(5)/(3) for the gas ) , (C_(V)= (3)/(2)R for one mole )

Assertion:- During adiabatic expansion of an ideal gas, temperature falls but entropy remains constant. Reason:- During adiabatic expansion, work is done by the gas using a part of internal energy and no heat exchange teakes place the system and the surrounding.

The temperature of an ideal gas undergoing adiabatic expansion varies with volume as T prop V^(-(3)/(4)) , then the value of (C_(P))/(C_(V)) for the gas is

An ideal gas A and a real gas B have their volumes increases from V to 2V under isothermal condtitions. The increase in internal energy

RESONANCE ENGLISH-KTG & THERMODYNAMICS-PART - II
  1. If CP and CV denote the specific heats of nitrogen per unit mass at co...

    Text Solution

    |

  2. When a system is taken from state i to state f along the path iaf, it ...

    Text Solution

    |

  3. An insulated container of gas has two chambers separated by an insulat...

    Text Solution

    |

  4. Two moles of helium gas are taken over the cycle ABCDA, as shown in th...

    Text Solution

    |

  5. Two moles of helium gas are taken over the cycle ABCDA, as shown in th...

    Text Solution

    |

  6. Two moles of helium gas are taken over the cycle ABCDA, as shown in th...

    Text Solution

    |

  7. One kg of a diatomic gas is at pressure of 8xx10^4N//m^2. The density ...

    Text Solution

    |

  8. A diatomic ideal gas is used in a Carnot engine as the working substan...

    Text Solution

    |

  9. 100g of water is heated from 30^@C to 50^@C. Ignoring the slight expan...

    Text Solution

    |

  10. A Carnot engine operating between temperature T1 and T2 has efficiency...

    Text Solution

    |

  11. Three perfect gases at absolute temperature T(1), T(2) and T(3) are mi...

    Text Solution

    |

  12. A thermally insulated vessel contains an ideal gas of molecular mass M...

    Text Solution

    |

  13. A container with insulating walls is divided into two equal parts by a...

    Text Solution

    |

  14. Helium gas goes through a cycle ABCDA (consisting of two isochoric and...

    Text Solution

    |

  15. The above p-v diagram represents the thermodynamic cycle of an engine,...

    Text Solution

    |

  16. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |

  17. An open glass tube is immersed in mercury in such a way that a length ...

    Text Solution

    |

  18. Consider a spherical shell of radius R at temperature T. The black bod...

    Text Solution

    |

  19. A solid body of constant heat capacity 1J//^@C is being heated by keep...

    Text Solution

    |

  20. Consider an ideal gas confined in an isolated closed chamber. As the g...

    Text Solution

    |