Home
Class 12
PHYSICS
One mole of helium is adiabatically expa...

One mole of helium is adiabatically expanded from its initial state `(P_(i),V_(i),T_(i))` to its final state `(P_(f),V_(f),T_(f))`. The decrease in the internal energy associated with this expansion is equal to

A

`C_V(T_i-T_f)`

B

`C_P(T_i-T_f)`

C

`1/2(C_P+C_V)(T_i-T_f)`

D

`(C_P-C_V)(T_i -T_f)`

Text Solution

Verified by Experts

The correct Answer is:
A

`DeltaU=muC_VDeltaT=1xx C_V(T_f-T_i) = -C_V (T_i -T_f)`
`rArr |DeltaU|=C_V(T_i-T_f)`
Promotional Banner

Topper's Solved these Questions

  • DRILL TEST -1

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|24 Videos
  • DRILL TEST 2

    NEET MAJOR TEST (COACHING)|Exercise PHYSICS|42 Videos

Similar Questions

Explore conceptually related problems

One mole of hydrogen, assumed to be ideal, is adiabatically expanded from its initial state (P_(1), V_(1), T_(1)) to the final state (P_(2), V_(2), T_(2)) . The decrease in the internal energy of the gas during this process will be given by

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (B +C) ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is DeltaS for path A ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is DeltaS for path (D +E) ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (D+E) ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (A) ?

A gas with (c_(p))/(c_(V))=gamma goes from an intial state (p_(1), V_(1), T_(1)) to a final state (p_(2), V_(2), T_(2)) through an adiabatic process. The work done by the gas is

For an ideal gas, an illustration of the different paths, A (B + C) and (D + E) from an intial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2), T_(1) as shown in the given figure. Path (A) represents a reversible isothernal expanison from P_(1)V_(1) to P_(2)V_(2) . Path (B + C) represents a reversible adiabatic expansion (B) from P_(1), V_(1), T_(1) to P_(3), V_(2), T_(2) followed by reversible heating the gas at constant volume (C) from P_(3), V_(2), T_(2) to P_(2), V_(2) T_(1) to P_(1) , V_(2), T_(3) followed by reversible cooling at a constant volume V_(2) (E) from P_(1), V_(2), T_(3) to P_(2), V_(2), T_(1) What is Delta S for path (D + E) ?

NEET MAJOR TEST (COACHING)-DRILL TEST 1-PHYSICS
  1. A ball is projected upwards from a height h above the surface of the e...

    Text Solution

    |

  2. A tank 5 m high is half filled with water and then is filled to top wi...

    Text Solution

    |

  3. When p calories of heat is given to a body, it absorbs q calories, t...

    Text Solution

    |

  4. A wave is represented by the equetion y=7 sin(7pi t-0.04pix+(pi)/(3))...

    Text Solution

    |

  5. At t = 0 a 100gm ball is thrown upwards with initial speed v(0) = 2 m/...

    Text Solution

    |

  6. A block P of mass m is placed on a frictionless horizontal ...

    Text Solution

    |

  7. There will be no relative motion between P and Q if pseudo force on ...

    Text Solution

    |

  8. The temperature of sun is 5500 K and it emits maximum intensity radiat...

    Text Solution

    |

  9. Two waves of frequencies 20 Hz and 30 Hz. Travels out from a common po...

    Text Solution

    |

  10. The wheel of a car is rotating at the rate of 1200 revolutions per min...

    Text Solution

    |

  11. A car travelling at a speed of 30 km/hour is brought to a halt in 8 m ...

    Text Solution

    |

  12. One mole of helium is adiabatically expanded from its initial state (P...

    Text Solution

    |

  13. The amplitude of a particle executing SHM is 4 cm. At the mean positio...

    Text Solution

    |

  14. The superposing waves are represented by the following equations : ...

    Text Solution

    |

  15. The angular speed of a body changes from omega1 to omega2 without app...

    Text Solution

    |

  16. A vessel at rest exlodes breaking it into three piecess. Two pieces ha...

    Text Solution

    |

  17. A gas is compressed at a constant pressure of 50N//m^(2) from a volume...

    Text Solution

    |

  18. A 0.10 kg block oscillates back and forth along a horizontal surface. ...

    Text Solution

    |

  19. Two tuning forks A and B give 4 beats//s when sounded together . The ...

    Text Solution

    |

  20. A solid cylinder roll up without slipping an inclined plane of ...

    Text Solution

    |