Home
Class 12
CHEMISTRY
2 mole of an ideal gas undergoes isother...

2 mole of an ideal gas undergoes isothermal compression along three different paths
(i) reversible compression from `P_(i)=2` bar and `V_(i)=4L" to "P_(f)=20` bar
(ii) a single stage compression against a constant external pressure of 20 bar, and
(iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until `P_("gas")=P_("ext")`, followed by compression against a constant pressure of 20 bar until `P_("gas")=P_("ext")`.
Calculate the work (in bar. L) for each of these processes and for which of the irreversible processes is the magnitude of the work greater ?
[Given : R = 0.08 bar. L/mole.K]

Text Solution

Verified by Experts

(i) 18.24 bar. L,
(ii) 72 bar. L, (iii) 40 bar L.
Magnitude of work is maximum in single stage compression
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    MOTION|Exercise EXERCISE - 4 (LEVEL - I)|21 Videos

  • THERMODYNAMICS

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|19 Videos

  • THERMODYNAMICS

    MOTION|Exercise EXERCISE - 2 (LEVEL-II ASSERTION REASON)|6 Videos

  • THERMOCHEMISTRY

    MOTION|Exercise Exercise - 4 Level-II|8 Videos

Similar Questions

Explore conceptually related problems

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=-P_("ext")dV for irreversible process w=-P_("ext")DeltaV " "( "where "DeltaV=V_(f)-V_(i)) for reversible process P_("ext")=P_("int")pmdP~=P_("int") so for reversible isothermal process w = -nRTln.(V_(f))/(V_(i)) 2mole of an ideal gas undergoes isothermal compression along three different plaths : (i) reversible compression from P_(i)=2 bar and V_(i) = 8L to P_(f) = 20 bar (ii) a single stage compression against a constant external pressure of 20 bar, and (iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until P_("gas")=P_("ext") , followed by compression against a constant pressure of 20 bar until P_("gas") = P_("ext") Work done (in bar-L) on the gas in reversible isothermal compression is :

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=-P_("ext")dV for irreversible process w=-P_("ext")DeltaV " "( "where "DeltaV=V_(f)-V_(i)) for reversible process P_("ext")=P_("int")pmdP~=P_("int") so for reversible isothermal process w = -nRTln.(V_(f))/(V_(i)) 2mole of an ideal gas undergoes isothermal compression along three different plaths : (i) reversible compression from P_(i)=2 bar and V_(i) = 8L to P_(f) = 20 bar (ii) a single stage compression against a constant external pressure of 20 bar, and (iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until P_("gas")=P_("ext") , followed by compression against a constant pressure of 20 bar until P_("gas") = P_("ext") Order of magnitude of work is :

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=-P_("ext")dV for irreversible process w=-P_("ext")DeltaV " "( "where "DeltaV=V_(f)-V_(i)) for reversible process P_("ext")=P_("int")pmdP~=P_("int") so for reversible isothermal process w = -nRTln.(V_(f))/(V_(i)) 2mole of an ideal gas undergoes isothermal compression along three different plaths : (i) reversible compression from P_(i)=2 bar and V_(i) = 8L to P_(f) = 20 bar (ii) a single stage compression against a constant external pressure of 20 bar, and (iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until P_("gas")=P_("ext") , followed by compression against a constant pressure of 20 bar until P_("gas") = P_("ext") Work done on the gas in single stage compression is :

If the boundary of system moves by an infinitesimal amount, the work involved is given by dw=-P_("ext")dV for irreversible process w=-P_("ext")DeltaV " "( "where "DeltaV=V_(f)-V_(i)) for reversible process P_("ext")=P_("int")pmdP~=P_("int") so for reversible isothermal process w = -nRTln.(V_(f))/(V_(i)) 2mole of an ideal gas undergoes isothermal compression along three different plaths : (i) reversible compression from P_(i)=2 bar and V_(i) = 8L to P_(f) = 20 bar (ii) a single stage compression against a constant external pressure of 20 bar, and (iii) a two stage compression consisting initially of compression against a constant external pressure of 10 bar until P_("gas")=P_("ext") , followed by compression against a constant pressure of 20 bar until P_("gas") = P_("ext") Total work done on the gas in two stage compression is :

In isothermal ideal gas compression

If an ideal gas is compressed isothermally then

An ideal gas is allowed to expand from 1 L to 10 L against a constant external pressure of 1 bar. Calculate the work done inkJ.

An ideal gas is allowed to expand from 1L to 10 L against a constant external pressure of 1 bar. The work doen in kJ is:

If a gas is heated at constant pressure, its isothermal compressibility

MOTION-THERMODYNAMICS-EXERCISE - 3
  1. One mole of NaCl (s) on melting absorbed 30.5 KJ of heat and its entro...

    Text Solution

    |

  2. Oxygen is heated from 300 to 600 at a constant pressure of 1 bar. What...

    Text Solution

    |

  3. A heat engine absorbs 760 kJ heat from a source at 380 K. It rejects (...

    Text Solution

    |

  4. Calculate the entropy of a substance at 600 K using the following data...

    Text Solution

    |

  5. Calculate the free energy change at 298 K for the reaction , Br(2)(l)+...

    Text Solution

    |

  6. Using the data given below, establish that the vaporization of C Cl(4)...

    Text Solution

    |

  7. Animals operate under conditions of constant pressure and most of the ...

    Text Solution

    |

  8. At 298 K, DeltaH("combustion")^(@)("sucrose")=-5737KJ//mol, DeltaG...

    Text Solution

    |

  9. From the given table answer the following questions Reaction : H(...

    Text Solution

    |

  10. Calculate workdone in adiabatic compression of one mole of an ideal ga...

    Text Solution

    |

  11. 0.5 mole each of two ideal gases A(C(v)=3/2R)andB=(C(v)=5/2R) are take...

    Text Solution

    |

  12. 20.0dm^(3) of an ideal gas (diatomic C("v,m")=5R//2) at 673 K and 0.7 ...

    Text Solution

    |

  13. One mole of a ideal monoatomic gas (C("V.m")=1.5R) is subjected to the...

    Text Solution

    |

  14. 2 mole of an ideal gas undergoes isothermal compression along three di...

    Text Solution

    |

  15. Calculate the heat of vaporisation of water per gm at 25^(@)C and 1 at...

    Text Solution

    |

  16. Given : Delta("vap")H" at "373K=40.693kJmol^(-1), C(p)(H(2)O,l)=75.3...

    Text Solution

    |

  17. (a) An ideal gas undergoes a single stage expansion against a constant...

    Text Solution

    |

  18. Derive a mathematical expression for the work done on the surrounding ...

    Text Solution

    |

  19. Calculate DeltaS(f)^(@) at 298 K of , (i) NaCl(s), (ii) NH(4)Cl(s) & d...

    Text Solution

    |

  20. The enthalpy change for vapourization of liquid ‘A’ at 200 K and 1 atm...

    Text Solution

    |