Home
Class 11
CHEMISTRY
2.8g of N(2) gas at 300K and 20atm was a...

`2.8g` of `N_(2)` gas at `300K` and `20atm` was allowed to expand isothermally against a constant external pressure of `1atm`. Calculate `DeltaU, q,` and `W` for the gas.

Text Solution

Verified by Experts

`DeltaU = 0, DetaU = q +w or w =- q`
`w =- p DeltaV =- p (V_(2)-V_(1))`
`V_(2)` and `V_(1)` can be calculated from `V = (nRT)/(p)`
`V_(1) = (0.1 xx 0.082 xx 300)/(20) = 0.123L`
`V_(2) = (0.1 xx 0.082 xx 300)/(1) = 2.46 L`
`w =- (1atm) xx (2.46 - 0.123) L =- 2.337 L atm`
or `w =- 2.337 xx 101.3 = 236.7 J`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    CENGAGE CHEMISTRY|Exercise Ex 6.2|27 Videos
  • THERMODYNAMICS

    CENGAGE CHEMISTRY|Exercise Ex 6.3|27 Videos
  • THERMODYNAMICS

    CENGAGE CHEMISTRY|Exercise Archives (Subjective)|23 Videos
  • STOICHIOMETRY

    CENGAGE CHEMISTRY|Exercise Archives Subjective|33 Videos

Similar Questions

Explore conceptually related problems

2.8 g of N_(2) gas at 300 K and 20 atm was allowed to expand isothermally against a constant external pressure of 1 atm. Calculate W for the gas.

28g of N_(2) gas at 300 K and 20 atm was allowed to expand isothermally against a constant external pressure of 1 atm , q for the gas is (R=0.082) .

Two liters of N_(2) at 0^(@)C and 5 atm pressure is expanded isothermally against a constant external pressure of 1 atm untill the pressure of gas reaches 1 atm. Assuming gas to be ideal, claculate the work of expansion.

A gas expands by 2 litres against a constant pressure of 2 atm. Calculate work done in Joule and Calorie.

A gas expands by 0.5L against a constant pressure of 1 atm . Calculate the work done in joule and calorie.

10 litre of an ideal gas at 25 atm and 27^(@)C is expanded isothermally to 1 atm against a constant external pressure of 760 torr. Calualate work done by the gas in litre-atm:

Two liters of nitrogen gas at 0^(@)C and "5" atm pressure expanded isothermally against a constant external pressure of "1" atm until the pressure of gas reaches "1" atm.Assuming the gas to be ideal,find the magnitude of work of expansion in lit atm

1mol of an ideal gas at 400K and 10atm is allowed to expand, adiabatically, against 2.0atm external pressure. Find the final temperature of the gas. [Use: C_(v) = (5)/(2)R]

CENGAGE CHEMISTRY-THERMODYNAMICS-Ex 6.1
  1. 500cm^(3) of a sample of an ideal gas is compressed by an average pres...

    Text Solution

    |

  2. Three moles of an ideal gas are expanded isothermally and reversibly a...

    Text Solution

    |

  3. 2.8g of N(2) gas at 300K and 20atm was allowed to expand isothermally ...

    Text Solution

    |

  4. State whther each of the following will increase or decreases the tota...

    Text Solution

    |

  5. Two moles of an idela gas at 2atm and 27^(@)C is compressed isothermal...

    Text Solution

    |

  6. A simple of gas present in a cylinder fitted with a frictionless pisto...

    Text Solution

    |

  7. One mole of an ideal mono-atomic gas at 27^(@)C expands adiabatically ...

    Text Solution

    |

  8. A 5L cylinder contained 10 moles of oxygen gas at 27^(@)C. Due to sudd...

    Text Solution

    |

  9. Adiabatic expenasion of an ideal gas is accompanied by

    Text Solution

    |

  10. For a cyclic process, which of the following is true?

    Text Solution

    |

  11. One mole of a gas is heated at constant pressure to raise its temperat...

    Text Solution

    |

  12. What work is to be done on 2mol of a perfect gas at 27^(@)C it is comp...

    Text Solution

    |

  13. 1mol of an ideal gas undergoes reversible isothermal expansion form an...

    Text Solution

    |

  14. A sample of 2kg of helium (assumed ideal) is taken through the process...

    Text Solution

    |

  15. An ideal diatomic gas is caused to pass throguh a cycle shown on the P...

    Text Solution

    |

  16. A heat engine carries one mole of an ideal mono-atomic gas around the ...

    Text Solution

    |

  17. One mole of an ideal mono-atomic gas is caused to go through the cycle...

    Text Solution

    |

  18. Calculate the work done by 1.0 mol of an idela gas when it expands fro...

    Text Solution

    |

  19. 3.0 moles of an ideal gas at 27^(@)C is compressed at constant temp. r...

    Text Solution

    |

  20. When 3mole of an idela gas expand reversibly and isothermally five tim...

    Text Solution

    |