Home
Class 11
CHEMISTRY
Calculate the work done when 2 moles of ...

Calculate the work done when 2 moles of an ideal gas expands reversibly and isothermally from a volume of 500 ml to a volume of 2 L at `25^@C` and normal pressure.

Text Solution

Verified by Experts

Given
n=2 moles
`V_i`=500 ml =0.5 lit
`V_f`=2 lit
`T=25^@C`=298 K
`w=-2.303 nRT log (V_f/V_i)`
`w=-2.303 xx2xx8.314xx298 xxlog (2/0.5)`
w=-2.303 x 2 x 8.314 x 298 x 0.6021
w=-6871 J
w=-6.871 kJ
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    FULL MARKS|Exercise In-Text Questions -Evaluate Yourself|8 Videos
  • THERMODYNAMICS

    FULL MARKS|Exercise Additional Questions Solved (I)|39 Videos
  • THERMODYNAMICS

    FULL MARKS|Exercise Textual Question Solved (MCQs)|25 Videos
  • SOLVED PAPER 13 (UNSOLVED)

    FULL MARKS|Exercise PART-II|9 Videos

Similar Questions

Explore conceptually related problems

Calculate the work done when 2 moles of an ideal gas expands reversibly and isothermally from a volume of 500 ml to a volume of 2L " at "25^(@)C and normal pressure.

Calculate the volume of 1 mole of an ideal gas at STP.

1 liter of an ideal gas (gamma =1.5) at 300k is suddenly compressed to half its original volume. (a) Find the ratio of the final pressure to the initial pressure. (b) If the original pressure is 100 kpa , find the work done by the gas in the process. (c) What is the change in internal energy? (d) What is the final temperature? (e) the gas is now colled to 300k keeping its pressure constant. Calculate the work done during the process . (f) The gas is now expanded iasothermally to achive its original volume of 1 liters. Calculate the work done by the gas .(g) Calculate the total work done in the cycle.

Calculate the number of moles present in 9 g of ethane Calculate the number of molecules of oxygen gas that occupies a volume of 224 ml at 273 K and 3 atm pressure.

FULL MARKS-THERMODYNAMICS -Textual Question Solved
  1. Suggest and explain an indirect method to calculate lattice enthalpy o...

    Text Solution

    |

  2. Define Gibb's free energy .

    Text Solution

    |

  3. Calculate the work done when 2 moles of an ideal gas expands reversibl...

    Text Solution

    |

  4. In a constant volume calorimeter, 3.5 g of a gas with molecular weight...

    Text Solution

    |

  5. Calculate the entropy change in the system and surroundings, and the t...

    Text Solution

    |

  6. 1 mole of an ideal gas, maintained at 4.1 atm and at a certain tempera...

    Text Solution

    |

  7. 30.4 kJ is required to melt one mole of sodium chloride. The entropy c...

    Text Solution

    |

  8. Calculate the standard heat of formation of propane, if its heat of co...

    Text Solution

    |

  9. You are given normal boiling points and standard enthalpies of vaporiz...

    Text Solution

    |

  10. DeltaH and DeltaS for the reaction Ag(2)O((s))rarr2Ag((s))+1/2O(2((g...

    Text Solution

    |

  11. What is the equilibrium constant K(eq) for the following reaction at 4...

    Text Solution

    |

  12. Cyanamide (NH2CN) is completely burnt in excess oxygen in a bomb calor...

    Text Solution

    |

  13. Calculate the enthalpy of hydrogenation of ethylene from the following...

    Text Solution

    |

  14. Calculate the lattice energy of CaCl2 from the given data. Ca((s)) +...

    Text Solution

    |

  15. Calculate the enthalpy change for the reaction Fe2O3 +3CO to 2Fe +3CO2...

    Text Solution

    |

  16. When 1-pentyne (A) is treated with 4N alcoholic KOH at 175^@C, it is c...

    Text Solution

    |

  17. At 33K , N(2)O(4) is fifty percent dissociated Calculate the standard ...

    Text Solution

    |

  18. The standard enthalpies of formation of SO2 and SO3 are -297 "kJ mol"...

    Text Solution

    |

  19. For the reaction at 298 K : 2A +B to C DeltaH="400 KJ mol"^(-1) , De...

    Text Solution

    |

  20. Find out the value of equilibrium constant for the following reaction ...

    Text Solution

    |