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Using the First Law of Thermodynamics to Calculate Change in Volume

  • 1.

    What will be the volume change for an ideal gas under the constant pressure of 70000 Pa and 700 Joules of heat energy added to the system, which causes the internal energy to decrease from 2500 J to 1500 J?

    Answers:

    • {eq}0.024\ m^3 {/eq}

    • {eq}0.044\ m^3 {/eq}

    • {eq}0.034\ m^3 {/eq}

    • {eq}0.014\ m^3 {/eq}

  • 2.

    200 J of heat energy is removed from an ideal gas at a constant pressure of 65 kPa, which causes its internal energy to increase from 1200 J to 2400 J. What is the change in volume of the gas?

    Answers:

    • {eq}-0.032\ m^3 {/eq}

    • {eq}-0.012\ m^3 {/eq}

    • {eq}-0.022\ m^3 {/eq}

    • {eq}-0.042\ m^3 {/eq}

  • 3.

    What will be the volume change in a system on which 700 J of heat energy is added to an ideal gas maintained at a constant pressure of 6000 Pa? The internal energy of the system decreases from 1950 J to 1200 J.

    Answers:

    • {eq}0.013\ m^3 {/eq}

    • {eq}0.031\ m^3 {/eq}

    • {eq}0.042\ m^3 {/eq}

    • {eq}0.24\ m^3 {/eq}

  • 4.

    What is the change in the volume of an ideal gas system, to which 580 J of heat energy is added, causing the internal energy of the system to decrease from 1850 J to 980 J? The ideal gas is maintained at a constant pressure of 150 kPa.

    Answers:

    • {eq}0.0010\ m^3 {/eq}

    • {eq}0.0020\ m^3 {/eq}

    • {eq}0.010\ m^3 {/eq}

    • {eq}0.020\ m^3 {/eq}

  • 5.

    An ideal gas at a constant pressure of 176 kPa receives 785 J of heat energy, decreasing its internal energy from 3485 J to 2489 J. Calculate the change in volume.

    Answers:

    • {eq}0.027\ m^3 {/eq}

    • {eq}0.017\ m^3 {/eq}

    • {eq}0.020\ m^3 {/eq}

    • {eq}0.010\ m^3 {/eq}

  • 6.

    What will be the change in volume in a process where an ideal gas is maintained at a constant pressure of 8000 Pa and 800 J of heat energy is extracted, increasing its internal energy from 2200 J to 3600 J?

    Answers:

    • {eq}-0.45\ m^3 {/eq}

    • {eq}-0.15\ m^3 {/eq}

    • {eq}-0.28\ m^3 {/eq}

    • {eq}-0.35\ m^3 {/eq}

  • 7.

    A system formed by an ideal gas at a constant pressure of 18000 Pa is enclosed in a piston. 550 J of heat energy are added to it and its internal energy decreases from 980 J to 650 J. Determine the change in volume.

    Answers:

    • {eq}0.049\ m^3 {/eq}

    • {eq}0.056\ m^3 {/eq}

    • {eq}0.024\ m^3 {/eq}

    • {eq}0.065\ m^3 {/eq}

  • 8.

    The total internal energy of a closed system increases by 745 J when 960 J of heat energy is extracted from the system. If the ideal gas is maintained at a constant pressure of 89 kPa, calculate the change in the volume of the gas.

    Answers:

    • {eq}-0.009\ m^3 {/eq}

    • {eq}-0.019\ m^3 {/eq}

    • {eq}-0.029\ m^3 {/eq}

    • {eq}-0.039\ m^3 {/eq}

  • 9.

    The total energy stored in a closed system containing an ideal gas at a constant pressure of 55000 Pa decreases from 3600 J to 2415 J after adding 975 J of heat energy. Calculate the change in the volume of the gas.

    Answers:

    • {eq}0.049\ m^3 {/eq}

    • {eq}0.029\ m^3 {/eq}

    • {eq}0.019\ m^3 {/eq}

    • {eq}0.039\ m^3 {/eq}

  • 10.

    The total internal energy of a piston device containing ideal gas at a constant pressure of 87 kPa increases by 1400 J, after extracting 1200 J of heat energy from the system. Determine the volume change of the gas.

    Answers:

    • {eq}0.030\ m^3 {/eq}

    • {eq}-0.050\ m^3 {/eq}

    • {eq}-0.030\ m^3 {/eq}

    • {eq}0.050\ m^3 {/eq}

  • 11.

    An ideal gas is in a piston and maintained at a constant pressure of 180 kPa. After adding 1345 J of heat energy, the internal energy of the system decreases from 3600 J to 2150 J. What is the change in the volume of the gas?

    Answers:

    • {eq}0.016\ m^3 {/eq}

    • {eq}0.024\ m^3 {/eq}

    • {eq}0.011\ m^3 {/eq}

    • {eq}0.029\ m^3 {/eq}

  • 12.

    An ideal gas is maintained at a constant pressure of 55 kPa and 950 J of heat energy are extracted from the system, which produces that its internal energy increases by 500 J. Determine the change in the volume of the gas.

    Answers:

    • {eq}-0.026\ m^3 {/eq}

    • {eq}-0.038\ m^3 {/eq}

    • {eq}-0.020\ m^3 {/eq}

    • {eq}-0.032\ m^3 {/eq}

  • 13.

    Calculate the volume change in a system in which an ideal gas is kept at a constant pressure of 9200 Pa and 790 J of heat energy are added to it, causing its internal energy to decrease from 1550 J to 995 J.

    Answers:

    • {eq}0.015\ m^3 {/eq}

    • {eq}0.035\ m^3 {/eq}

    • {eq}0.35\ m^3 {/eq}

    • {eq}0.15\ m^3 {/eq}

  • 14.

    Determine the volume change of an ideal gas under a pressure of 32000 Pa. The internal energy of the gas increases 950 J after 1400 J of heat energy are extracted from it.

    Answers:

    • {eq}-0.064\ m^3 {/eq}

    • {eq}-0.046\ m^3 {/eq}

    • {eq}-0.037\ m^3 {/eq}

    • {eq}-0.073\ m^3 {/eq}

  • 15.

    If 800 J of heat energy are added to a system containing an ideal gas at a constant pressure of 91 kPa, its internal energy decreases from 4200 J to 2800 J. What will be the volume change?

    Answers:

    • {eq}0.024\ m^3 {/eq}

    • {eq}0.043\ m^3 {/eq}

    • {eq}0.035\ m^3 {/eq}

    • {eq}0.016\ m^3 {/eq}

  • 16.

    Calculate the volume change in a system in which 610 J of heat energy are extracted from an ideal gas at a constant pressure of 130 kPa and its internal energy increases by 950 J.

    Answers:

    • {eq}-0.018\ m^3 {/eq}

    • {eq}-0.006\ m^3 {/eq}

    • {eq}-0.024\ m^3 {/eq}

    • {eq}-0.012\ m^3 {/eq}

  • 17.

    What is the volume change of an ideal gas held at a constant pressure of 96 kPa if 520 J of heat energy are extracted from the system, causing its internal energy to increase from 1800 J to 2700 J?

    Answers:

    • {eq}-0.045\ m^3 {/eq}

    • {eq}-0.025\ m^3 {/eq}

    • {eq}-0.035\ m^3 {/eq}

    • {eq}-0.015\ m^3 {/eq}

  • 18.

    630 J of heat energy are added to an ideal gas at a constant pressure of 16000 Pa, which causes its internal energy to decrease from 1200 J to 700 J. What is the volume change of the gas?

    Answers:

    • {eq}0.071\ m^3 {/eq}

    • {eq}0.041\ m^3 {/eq}

    • {eq}0.017\ m^3 {/eq}

    • {eq}0.014\ m^3 {/eq}

  • 19.

    What will be the volume change of an ideal gas that is maintained at a constant pressure of 40 kPa in a process in which 818 J of heat energy is added to it, decreasing its internal energy from 1200 J to 540 J?

    Answers:

    • {eq}0.048\ m^3 {/eq}

    • {eq}0.037\ m^3 {/eq}

    • {eq}0.073\ m^3 {/eq}

    • {eq}0.084\ m^3 {/eq}

  • 20.

    What is the volume change of an ideal gas system where 890 J of heat energy are removed, causing its internal energy to increase by 560 J? The ideal gas is maintained at a constant pressure of 36,000 Pa.

    Answers:

    • {eq}-0.030\ m^3 {/eq}

    • {eq}-0.050\ m^3 {/eq}

    • {eq}-0.060\ m^3 {/eq}

    • {eq}-0.040\ m^3 {/eq}

  • 21.

    850 J of heat are extracted from a system where an ideal gas is maintained at a constant pressure of 64000 Pa, increasing the internal energy of the system by 440 J. Calculate the volume change of the gas.

    Answers:

    • {eq}-0.030\ m^3 {/eq}

    • {eq}-0.010\ m^3 {/eq}

    • {eq}-0.020\ m^3 {/eq}

    • {eq}-0.040\ m^3 {/eq}

  • 22.

    An ideal gas is contained in a closed system at a constant pressure of 92 kPa and its internal energy increases from 600 J to 1470 J after extracting 620 J of heat. Calculate the volume change of the gas.

    Answers:

    • {eq}-0.016\ m^3 {/eq}

    • {eq}-0.026\ m^3 {/eq}

    • {eq}-0.036\ m^3 {/eq}

    • {eq}-0.046\ m^3 {/eq}

  • 23.

    900 J of heat is extracted from a system formed by a piston containing an ideal gas at a constant pressure of 85 kPa. This produces its internal energy increases 1310 J. Determine the volume change of the gas.

    Answers:

    • {eq}-0.036\ m^3 {/eq}

    • {eq}-0.021\ m^3 {/eq}

    • {eq}-0.026\ m^3 {/eq}

    • {eq}-0.031\ m^3 {/eq}

  • 24.

    The total internal energy of a system formed of an ideal gas decreases from 1950 J to 1420 J when 625 J of heat are added to the system. If the gas is maintained at a constant pressure of 23000 Pa, calculate its volume change.

    Answers:

    • {eq}0.050\ m^3 {/eq}

    • {eq}0.010\ m^3 {/eq}

    • {eq}0.030\ m^3 {/eq}

    • {eq}0.070\ m^3 {/eq}

  • 25.

    A system contains an ideal gas at a constant pressure of 71000 Pa, and 420 J of heat are added to the system which provokes its internal energy decreases from 800 J to 620 J. Calculate the volume change of the gas.

    Answers:

    • {eq}0.02\ m^3 {/eq}

    • {eq}0.002\ m^3 {/eq}

    • {eq}0.08\ m^3 {/eq}

    • {eq}0.008\ m^3 {/eq}

  • 26.

    A piston contains an ideal gas at a constant pressure of 110 kPa. After adding 830 J of heat energy to the system, its total internal energy decreases from 1100 J to 870 J. Calculate the volume change of the gas.

    Answers:

    • {eq}0.010\ m^3 {/eq}

    • {eq}0.030\ m^3 {/eq}

    • {eq}0.018\ m^3 {/eq}

    • {eq}0.038\ m^3 {/eq}

  • 27.

    An ideal gas is in a piston and is maintained at a constant pressure of 45000 Pa. After extracting 395 J of heat from the system, its internal energy increases by 600 J. What is the volume change of the gas?

    Answers:

    • {eq}-0.014\ m^3 {/eq}

    • {eq}-0.029\ m^3 {/eq}

    • {eq}-0.022\ m^3 {/eq}

    • {eq}-0.033\ m^3 {/eq}

  • 28.

    After extracting 560 J of heat energy from a system containing an ideal gas at a constant pressure of 62000 Pa, its internal energy increases by 412 J. What is the volume change of the gas?

    Answers:

    • {eq}-0.016\ m^3 {/eq}

    • {eq}-0.006\ m^3 {/eq}

    • {eq}-0.036\ m^3 {/eq}

    • {eq}-0.026\ m^3 {/eq}

  • 29.

    Calculate the volume change of a system containing an ideal gas at a constant pressure of 141 kPa, if 1120 J of heat energy is removed from the system, causing its internal energy to increase by 750 J.

    Answers:

    • {eq}-0.031\ m^3 {/eq}

    • {eq}-0.042\ m^3 {/eq}

    • {eq}-0.024\ m^3 {/eq}

    • {eq}-0.013\ m^3 {/eq}

  • 30.

    Determine the volume change of an ideal gas under a constant pressure of 66 kPa, if its internal energy decreases from 2470 J to 1950 J, after receiving 630 J of heat.

    Answers:

    • {eq}0.025\ m^3 {/eq}

    • {eq}0.033\ m^3 {/eq}

    • {eq}0.040\ m^3 {/eq}

    • {eq}0.017\ m^3 {/eq}

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