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Drawing an Isovolumetric Process on a Pressure-Volume Diagram

  • 1.

    Display a pressure-volume diagram for an isovolumetric process of 20 liters of nitrogen in a rigid vessel with an initial pressure of 50 kPa and final pressure of 150 kPa.

    Answers:

  • 2.

    In a rigid container with 50 cubic meters of air, the pressure increased from 200 kPa to 300 kPa during an isovolumetric process. Determine which of the following is the correct P-V diagram of the process.

    Answers:

  • 3.

    Identify which of the pressure-volume diagrams corresponds to a 30 cc of gas that undergoes an isochoric process, having an initial pressure of 60 Pa and a final pressure of 180 Pa.

    Answers:

  • 4.

    Ammonia with a volume of 5 gallons is confined in a container and undergoes an isovolumetric process. Its pressure decreased from 30 kPa to 10 kPa. Draw a pressure-volume diagram that represents this process.

    Answers:

  • 5.

    A closed vessel contains air at constant volume. The initial pressure of the air is 100 kPa and it undergoes an isovolumetric process. Find which of the following P-V diagrams corresponds to this process if the air's final pressure is 250 kPa.

    Answers:

  • 6.

    Ten liters of oxygen are compressed in a container with an initial pressure of 120 kPa and undergo an isochoric process. Its pressure decreased by 80 kPa. Sketch a pressure-volume diagram that represents this process.

    Answers:

  • 7.

    A 60-cubic meter of gas is enclosed in a cylinder equipped with a piston that has an initial pressure of 70 kPa. The gas undergoes an isovolumetric process and reaches a pressure of 210 kPa. Which of the following P-V diagrams corresponds to this process?

    Answers:

  • 8.

    Suppose that 15 cc of diatomic gas is contained in a vessel has an increase in pressure from 75 kPa to 175 kPa during an isovolumetric process. Draw the correct pressure-volume diagram of this process.

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  • 9.

    The initial pressure of a 5-mole, 1-cubic meter gas in a steam turbine is 20.8 kPa. Its final pressure and temperature are 41.6 kPa and 1000 K, respectively, during an isochoric process. If the gas is assumed to be ideal, determine which of the following P-V diagrams corresponds to this process.

    Answers:

  • 10.

    A device compresses 3 cubic-meter of a gas from an initial pressure of 180 kPa and final pressure of 90 kPa in an isovolumetric process. Display a pressure-volume diagram of this process.

    Answers:

  • 11.

    20 liters of air has a pressure of 100 KPa and undergoes an isochoric process. The final pressure of the gas is 200 KPa. Which of the following pressure-volume diagrams correspond with the process.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 12.

    1 kilogram of gas has a pressure of 300 KPa and undergoes an isochoric cooling process. Draw the thermodynamic trajectory of the system on a pressure-volume diagram if the pressure of the gas reduces to 100 KPa.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 13.

    In a Diesel cycle, the amount of heat rejected by the engine in an isochoric process is equal to 200 J. The pressure of the air inside the engine goes from 200 KPa to 30 KPa. Choose the trajectory of the process in one of the following pressure-volume diagrams.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 14.

    A sample of a monatomic ideal gas at a temperature of 200 K undergoes isochoric heating. The gas is then heated until it reaches a temperature of 400 K. Choose the trajectory of this process in one of the following pressure-volume diagrams.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 15.

    The pressure of 1 kilogram of air in an isochoric cooling process reduces from 400 KPa to 250 KPa. Draw the trajectory followed by the air on a pressure-volume diagram.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 16.

    10 liters of air contained in a rigid recipient has a pressure of 140 kPa and a temperature of 30 degrees Celsius. The air is heated under an isochoric process until its pressure reaches 345 KPa. Represent this process on a pressure-volume diagram.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 17.

    In an Otto cycle, an amount of heat is added to an engine in an isochoric process. The temperature of the air increased from 293 K to 700 K. Draw the pressure-volume diagram of the process.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 18.

    In a steam power plant, water is heated in an isochoric process. The amount of heat added to the water is 2000 J. If the temperature of the water vapor increases from 283 K to 369 K, show the process on a pressure-volume diagram.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 19.

    An isochoric process increases the temperature of a monatomic ideal gas from 200 K to 400 K by absorbing an amount of heat of 1000 J from the surrounding. Draw the process on a pressure-volume diagram.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 20.

    One mole of an ideal gas at a temperature of 290 K is cooled at constant volume to a final pressure of one-sixth that of the beginning pressure. Which of the following pressure-volume diagram represents the thermodynamic trajectory followed by the gas.

    Answers:

    • pv

    • pv

    • pv

    • pv

  • 21.

    Draw a pressure-volume diagram for nitrogen when it is isovolumetrically cooled in a 20-liter rigid tank. The nitrogen pressure decreases from 150 kPa to 50 kPa.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 22.

    In a lab, 10 L of an ideal gas is compressed from 13 kPa to 35 kPa. The compression of the gas takes place in an isovolumetric process. Show the compression process of the gas on a pressure-volume diagram.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 23.

    25 L of helium is heated in a rigid tank in a constant volume process. Due to the heating process, the pressure of the helium increases from 25 kPa to 45 kPa. Draw the pressure-volume diagram of the process.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 24.

    In a constant volume process, 1000 J of heat is added to a rigid tank containing 8 L of an ideal gas. The temperature of the gas raises from 100 K to 250 K. Sketch the pressure-volume diagram of the process.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 25.

    Air at 100 kPa is contained in a 4 {eq}\rm m^{3} {/eq} rigid container. The container is heated in an isovolumetric process until the pressure reaches 250 kPa. Show the process on a pressure-volume diagram.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 26.

    In a petrol engine (Otto cycle) 2500 kJ of heat is added to the {eq}0.5\ \rm m^{3} {/eq} of air in a constant volume process. The pressure of the air increases from 900 kPa to 2100 kPa. Sketch the process of heat addition on a pressure-volume diagram.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 27.

    8 L of air at 25 kPa enters a compressor in which its pressure is raised to 55 kPa in an isovolumetric process. Determine which of the following is the correct P-V diagram of the process.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 28.

    15 moles of an ideal gas compressed in a rigid tank of 15 L from 10 kPa to 100 kPa in an isovolumetric process. Show the process on the pressure-volume diagram.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 29.

    2 L of an ideal gas rejects 200 kJ of heat at a constant volume to the surrounding. If the pressure of the gas reduces from 73 kPa to 52 kPa, draw the pressure-volume diagram of the process.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

  • 30.

    During the exhaust stroke of an otto cycle, heat is rejected to the atmosphere in a constant volume process. During the stroke, the pressure of {eq}1\ \rm m^{3} {/eq} of air reduces from 1800 kPa to 210 kPa. Display the process on the pressure-volume diagram.

    Answers:

    • PV Diagram

    • PV Diagram

    • PV Diagram

    • PV Diagram

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