Home
Class 11
PHYSICS
Determine the work done by an ideal gas ...

Determine the work done by an ideal gas doing `1 rarr 4 rarr 3rarr 2 rarr 1`.
Given `P_(1) = 10^(5) Pa, P_(0) = 3 xx 10^(5) Pa, P_(3) = 4 xx 10^(5) Pa` and `V_(2) - V_(1) = 10 L`.

Text Solution

Verified by Experts

The correct Answer is:
`750J`

for similar traingle `ABC` and `CDE`
`(V_(1)-V_(1))/(p_(0)-p_(1)) = (V_(4)-V_(3))/(p_(2)-p_(0)) rArr V_(4) - V_(3)`
`=((p_(2)-p_(0)))/((p_(0)-p_(1)))(V_(1)-V_(1)) = (10^(5)xx10)/(2xx10^(5)) =5litre`
Work done by gas in cycle
`W_(gas) = W_(ABC) +W_(CDE)`
`= (1)/(2) (V_(2)-V_(1)) (p_(0)-p_(1)) - (1)/(2) (V_(4)-V_(3)) (p_(2)-p_(0))`
`= (1)/(2) xx 10 xx 10^(-3) (2xx10^(6)) - (1)/(2) xx5 xx 10^(-3) (1xx10^(6)) = 750 J`
Promotional Banner

Topper's Solved these Questions

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (D)|2 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (I)|2 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (A)|3 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

Find the work done by an ideal gas during a closed cycle 1rarr2rarr3rarr4rarr1 as shown in figure.

A thermodynamic process is shown in Fig. The pressures and volumes corresponding to some points in the figure are : P_(A) = 3 xx 10^(4) Pa, P_(B) = 8 xx 10^(4) Pa and V_(A) = 2 xx 10^(-3) m^(3) , V_(D) = 5 xx 10^(-3) m . In process AB, 600 J of heat is added to the system and in process BC, 200 J of heat is added to the system. The change in internal energy of the energy of the process AC would be.

A thermodynamic process is shown in this figure. The pressure and volumes corresponding to some points in the figure are P_(A) = 3 xx 10^(4) Pa V_(A) = 2 xx 10^(3) m^(3) P_(B) = 8 xx 10^(4) Pa , V_(D) = 5 xx 10^(-3) m^(3) In process AB, 600 J of heat is added to the system and in process BC 200 J of heat is added to the system. The change in internal energy of the system in process AC would be

A thermodynamic process is shown in the following figure. The process and volumes corresponding to some points in the figure are: P_(A) =3 xx 10^(4)Pa , V_(A) =2 xx 10^(-3) m^(-3) , P_(B) = 8 xx 10^(4) Pa, V_(D) = 5 xx 10^(-3) m^(3) In process AB, 600J of heat is added to the system and in the process BC, 200J of heat is added to the system. the change in internla energy of the system in the process AC would be

A thermodynamic process is shown in the following figure. In the process AB, 600 J of heat is added to the system and in BC, 200 J of heat is added to the system. The change in internal energy of the system in the process AC would be: P_(A) = 3 xx 10^(4) Pa, V_(A) = 2xx 10^(-3) m^(3) P_(B) = 8 xx 10^(4) Pa, V_(C) = 5 xx 10^(-3) m^(3)

A thermodynamic process is shown in Fig. The pressures and volumes corresponding to some points in the figure are P_(A) = 3 xx 10^(4) Pa V_(A) = 2 xx 10^(-3) m^(3) P_(B) = 8 xx 10^(4) Pa V_(D) = 5 xx 10^(-3) m^(3) In the process AB 600 J of heat is added to the system. The change in internal energy of the system in the process AB would be

A system undergoes three quasi-static process sequentially as indicated in Fig. 1-2 is an isobaric process, 2-3 is a polytropic process with gamma = 4//3 and 3-1 is a process in which PV = constant. P_(2) = P_(1) = 4 xx 10^(5) N//m^(2), P_(3) = 1 xx 10^(5) N//m^(2) and V_(1) = 1 m^(3) . The heat transfer for the cycle is Delta Q , the change in internal energy is Delta U and the work done is Delta W . Then

For the thermodynamic process shown in the figure. P _(A) =1 xx 10 ^(5)Pa, P _(B) =0.3 xx10^(5)Pa P_(D)=0.6xx10^(5)Pa, V_(A) =0.20 litre V_(D)=1.30 litre. (a) Find the work performed by the system along path AD. (b) In the total work done by the system along the path ADC is 85 J find the volume a point C. (c) How much work is perfomed by the system along the path CDA ?

RESONANCE-KTG & THERMODYNAMICS-SECTION
  1. Find the work done by gas going through a cyclic process shown in figu...

    Text Solution

    |

  2. An ideal gas is compressed at constant pressure of 10^(5)Pa until its ...

    Text Solution

    |

  3. Determine the work done by an ideal gas doing 1 rarr 4 rarr 3rarr 2 ra...

    Text Solution

    |

  4. Find the expression for the work done by a system undergoing isotherma...

    Text Solution

    |

  5. A system absorbs 1000 cal of heat and does 1675J work. If J = 4.18 J//...

    Text Solution

    |

  6. A cylinder fitted with a piston contains an ideal monoatomic gas at a ...

    Text Solution

    |

  7. In a thermodynamic process, pressure of a fixed mass of a gas is chang...

    Text Solution

    |

  8. A diatomic gas done 80J work when expanded isobarically. Find the heat...

    Text Solution

    |

  9. When 1g of water at 0^(@)C and 1 xx 10^(4)Nm^(-2) pressure is converte...

    Text Solution

    |

  10. An ideal gas is taken through a cyclic thermodynamic process through f...

    Text Solution

    |

  11. In given figure, gas is slowely heated for sometime. During the proces...

    Text Solution

    |

  12. A gas is initially at a pressure of 100 kPa and its volume is 2.0 m^(3...

    Text Solution

    |

  13. Find the change in the internal energy of 2 kg of water as it heated f...

    Text Solution

    |

  14. In given figure, An ideal gas a gas is taken through a cyclic process ...

    Text Solution

    |

  15. An ideal gas is taken through the process ABC as shown in figure. If t...

    Text Solution

    |

  16. In given figure, one mole of an ideal gas (gamma = 7//5) is taken thro...

    Text Solution

    |

  17. 70 calories of heat required to raise the temperature of 2 moles of an...

    Text Solution

    |

  18. Internal energy of two moles of an ideal gas at a temperature of 127^(...

    Text Solution

    |

  19. Ideal monoatomic gas is taken through a process dQ = 2dU. Find the mol...

    Text Solution

    |

  20. Calculate the value of mechanical equivalent of heat from the followin...

    Text Solution

    |