Calculating Work Done by an Isothermal Process

  • 1.

    4 moles of gas undergo an isothermal process at 300 K temperature. Determine the work done by the gas if the volume of the increased by 2 times. (Use R= 8.314 J/K.mol)

    Answers:

    • 6815 J

    • -6915 J

    • 6615 J

    • 6715 J

  • 2.

    During an isothermal process at 290 K temperature, the volume of 2 moles of gas increases to 0.6 L from 0.2 L. Determine the work done by the system. (Use R= 8.314 J/K.mol)

    Answers:

    • -5298 J

    • 5398 J

    • 5198 J

    • 5298 J

  • 3.

    At 300K, two moles of an ideal are isothermally expanded to three times their initial volume. Calculate the amount of work done by the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • 5380 J

    • -5480 J

    • 5680 J

    • -5580 J

  • 4.

    At 300K, two moles of an ideal are isothermally compressed from 30 L to 10 L. Calculate the amount of work done on the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • -5480 J

    • +5380 J

    • +5480 J

    • -5380 J

  • 5.

    If the volume of 10 moles of oxygen at 300 K is expanded from 70 litres to 140 litres in an isothermal expansion, the work done by the gas will be (Use R= 8.314 J/K.mol)

    Answers:

    • -15289 J

    • -13289 J

    • -17289 J

    • -16289 J

  • 6.

    At 273 K, one mole of gas has a volume of 22.4 litres and is compressed isothermally to a volume of 11.2 litres. Calculate the work done on the gas (Use R= 8.314 J/K.mol)

    Answers:

    • -1273 J

    • +1573 J

    • -1573 J

    • +1573 J

  • 7.

    At a constant temperature of 300 K, one mole of an ideal gas expands from an initial volume of 15 litres to a final volume of 35 litres. The work produced by the gas is (Use R= 8.314 J/K.mol)

    Answers:

    • -2113 J

    • +2213 J

    • +2113 J

    • -1921 J

  • 8.

    2 moles of gas has a volume of 20 litres at 321 K and is isothermally compressed to 8 litres. Calculate the amount of work that has been done on the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • -4891 J

    • -4561 J

    • +4561 J

    • +4891 J

  • 9.

    5 moles of air enter a compressor. In the compressor, the air is isothermally compressed from 125 L to 50 L at 400 K. Determine the work done by the compressor on the air. (Use R= 8.314 J/K.mol)

    Answers:

    • -15236 J

    • -16236 J

    • -18236 J

    • -17236 J

  • 10.

    Calculate the amount of work done when 7 moles of an ideal gas isothermally expanded from 40 L to 75 L at 330 K. (Use R= 8.314 J/K.mol)

    Answers:

    • -12073 J

    • 10073 J

    • 11073 J

    • -13073 J

  • 11.

    At 360 K, a 0.5 mole of gas expands isothermally from a volume of 3 L to a volume of 12 L. Determine the work produced by the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • +2075 J

    • -2075 J

    • -1966 J

    • +1966 J

  • 12.

    10 moles of oxygen gas expand isothermally at 300 K from a starting volume of 8 litres to a final volume of 30 litres. Compute the work produced by the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • -33967 J

    • -31967 J

    • -34967 J

    • -32967 J

  • 13.

    4 moles of an ideal gas expands from a starting volume of 5 liters to a final volume of 15 liters at a constant temperature of 350 K. The work that the gas does is (Use R= 8.314 J/K.mol)

    Answers:

    • -14787 J

    • -12787 J

    • 13787 J

    • 112787 J

  • 14.

    During an isothermal compression process, 2.5 moles of air are compressed from 15 L to 3 L at 363 K temperature. Determine the work done by the air. (Use R= 8.314 J/K.mol)

    Answers:

    • -11453 J

    • +11453 J

    • -12143 J

    • +12143 J

  • 15.

    4.0 mole of an ideal gas expands from a starting volume of 10 liters to a final volume of 30 liters at a constant temperature of 380 K. Compute the work done by the gas. (Use R= 8.314 J/K.mol).

    Answers:

    • -10834 J

    • -12884 J

    • -11884 J

    • -13883 J

  • 16.

    The volume of 2 moles of gas increases to 0.6 L from 0.15 L during an isothermal process at 309 K temperature. Determine the work done by the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • -7123 J

    • -7223 J

    • -7283 J

    • -7183 J

  • 17.

    A compressor takes in 3 moles of air. The air is isothermally compressed in the compressor from 34 L to 17 L at 293 K. Determine how much effort the compressor does on the air. (Use R= 8.314 J/K.mol)

    Answers:

    • +5066 J

    • -6066 J

    • +6066 J

    • -5066 J

  • 18.

    Calculate the amount of work done by the compressor on oxygen during the isothermal compression of 1 mol of oxygen from a volume of 25 L to 12.5 L at 350 K temperature. (Use R= 8.314 J/K.mol)

    Answers:

    • -1995 J

    • +2017 J

    • +1995 J

    • -2017 J

  • 19.

    Calculate how much work the compressor does when 2.5 mol of air is compressed isothermally from 10 L to 5 L at 450 K. ( use R= 8.314 J/K.mol.)

    Answers:

    • -6583 J

    • +6583 J

    • +6483 J

    • -6483 J

  • 20.

    2.9 moles of air is expanded from a turbine at 360 K in an isothermal process. If the final volume of the air is twice the initial volume of air, calculate the work produced by the turbine. ( use R= 8.314 J/K.mol.)

    Answers:

    • 6816 J

    • 6516 J

    • 7016 J

    • 6016 J

  • 21.

    At 300 K, 2.9 moles of gas expand from 3.00 to 5.00 L in isothermal expansion. How much work does the gas do? ( use R= 8.314 J/K.mol.)

    Answers:

    • -3695 J

    • -3795 J

    • -3595 J

    • -3895 J

  • 22.

    An ideal gas (n=5 moles) expands isothermally from a state with volume V to a state with volume 4V at 350 K temperature. Determine the work done by the gas. ( use R= 8.314 J/K.mol.)

    Answers:

    • -10170 J

    • -21170 J

    • -20170 J

    • -19170 J

  • 23.

    Determine the work done by the gas (Use R= 8.314 J/K.mol) if the volume of 7.5 moles of oxygen at 400 K is increased from 45 litres to 95 litres in an isothermal expansion.

    Answers:

    • -18637 J

    • -16637 J

    • -19637 J

    • -17637 J

  • 24.

    In an isothermal process, 1.9 moles of air are expanded from a turbine at 340 K. Calculate the work done by the turbine if the end volume of air is thrice the beginning volume of air. ( use R= 8.314 J/K.mol.)

    Answers:

    • 5900 J

    • 6000 J

    • 5700 J

    • 5800 J

  • 25.

    Calculate the amount of work done by the compressor on the air when 2.9 mol of air is compressed isothermally from a volume of 35 L to 5 L at 550 K. (Use R= 8.314 J/K.mol)

    Answers:

    • -25804 J

    • +25804 J

    • -23796 J

    • +23796 J

  • 26.

    A cylinder with a piston contains 0.25 mol of oxygen at 355K. Determine the work required to compress the oxygen from 10 L to 3 L in an isothermal process. (Use R= 8.314 J/K.mol)

    Answers:

    • +888 J

    • -999 J

    • -888 J

    • +999 J

  • 27.

    A monatomic ideal gas (n=3 moles) at 300 K is isothermally compressed from 0.8 L to 0.2 L. Calculate the work done on the gas. (Use R= 8.314 J/K.mol)

    Answers:

    • +10373 J

    • +9907 J

    • -10373 J

    • -9907 J

  • 28.

    Isothermally compressing 4 moles monatomic ideal gas from 0.6 L to 0.2 L at 375 K. Calculate the amount of work that has been done on the gas. ( R= 8.314 J/K.mol.)

    Answers:

    • -13701 J

    • +13701 J

    • +12701 J

    • -12701 J

  • 29.

    Five moles of air are taken in by a compressor. At 313 K, the air in the compressor is isothermally compressed from 30 L to 10 L. Calculate how much work the compressor puts in on the air. (Use R= 8.314 J/K.mol)

    Answers:

    • -13295 J

    • -14295 J

    • +14295 J

    • +13295 J

  • 30.

    In an isothermal process, 0.9 moles of air are expanded at 280 K from a turbine. Calculate the turbine's work output if the end volume of air is twice the beginning volume of air. R= 8.314 J/K.mol.

    Answers:

    • 1492 J

    • 1452 J

    • 1522 J

    • 1552 J

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