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Verification of Boyle's Law of Ideal Gases

Experiment video

What you will learn

Verify Boyle's Law (P × V = constant) at constant ambient room temperature using a Quill tube / Boyle's Law J-tube apparatus containing an enclosed dry air column.

Materials needed

  • Boyle's Law Apparatus (Quill tube / graduated closed burette with mercury reservoir)
    Boyle's Law Apparatus (Quill tube / graduated closed burette with mercury reservoir)
    ₹50
    What is it?

    Heavy cast-iron frame Boyle's Law apparatus with precision graduated glass tubes and mercury reservoir.

    Specifications
    Closed Tube
    Graduated 0 – 30 cm, uniform precision bore
    Open Tube
    Parallel vertical tube open to atmosphere
    Base Scale
    Silvered brass meter scale, 1 mm divisions
    Mercury Capacity
    Approx 150 mL triple-distilled
  • Fortin's Barometer (to record atmospheric pressure H in cm of Hg)
    NS
    Fortin's Barometer (to record atmospheric pressure H in cm of Hg)
    ₹95
    What is it?

    Fortin's mercurial laboratory barometer for true local atmospheric pressure reference.

    Specifications
    Range
    650 – 800 mm Hg
    Vernier Least Count
    0.1 mm Hg
    Casing
    Enamelled brass tube with glass window
    Cistern
    Flexible leather bottom with ivory pointer
  • Pure clean Mercury (in closed apparatus)
    Pure clean Mercury (in closed apparatus)
    ₹140
    What is it?

    Neoprene high-pressure flexible connecting tube with stainless steel hose clamps.

    Specifications
    Internal Diameter
    6.0 mm
    Wall Thickness
    2.5 mm heavy wall
    Burst Pressure
    5 bar proof
    Fluid Compatibility
    Chemically inert to liquid mercury
  • Laboratory Thermometer (0-100°C)
    Laboratory Thermometer (0-100°C)
    ₹185
    What is it?

    Standard laboratory apparatus used in Verification of Boyle's Law of Ideal Gases.

    Specifications
    Category
    Physics Apparatus
    Grade
    CBSE / NEP 2020 Laboratory Standard
  • Vertical Metric Scale & Plumb line
    Vertical Metric Scale & Plumb line
    ₹230
    What is it?

    Standard laboratory apparatus used in Verification of Boyle's Law of Ideal Gases.

    Specifications
    Category
    Physics Apparatus
    Grade
    CBSE / NEP 2020 Laboratory Standard

Tick items as you collect them. Tap + to see the product, specifications and buy options.

Stay safe

  • The air enclosed in the tube must be completely dry (moisture causes vapor pressure deviations).
  • Wait at least 2 minutes after adjusting mercury levels so gas temperature returns to room temperature.
  • Never touch the enclosed gas bulb/tube with bare hands during readings to avoid heating.
  • Take readings at the top of the mercury meniscus with eyes at the same horizontal level.

Steps

0 of 7 steps done
  • 1Record the ambient room temperature and atmospheric pressure (H) using the Fortin's barometer in cm of Hg.
    Observation

    Record laboratory barometric atmospheric pressure H = 75.8 cm Hg from Fortin barometer.

    Safety

    Check mercury reservoir and rubber tubing for leak-tight connections.

  • 2Check that the apparatus is set vertical with a plumb line.
    Observation

    Align mercury levels in both closed and open limbs to read equal baseline zero difference.

    Safety

    Wear nitrile safety gloves when working with mercury-filled glass apparatus.

  • 3Adjust the open mercury tube to bring the mercury levels in both limbs to the same height (gauge pressure = 0).
    Observation

    Raise open limb slowly by 10 cm; enclosed air column in closed limb compresses visibly.

    Safety

    Raise limb slowly to avoid mercury surging or column separation.

  • 4Note the initial length of the enclosed dry air column (l1), which is proportional to volume V1.
    Observation

    Wait 2 minutes for thermal equilibrium; record mercury difference h and closed tube air column length V.

    Safety

    Keep room temperature stable without direct sunlight on apparatus.

  • 5Raise the open tube by 5 cm to increase the pressure. Record the difference in mercury levels (h) and new air column length (l).
    Observation

    Lower open limb below closed limb to test rarefaction state (P < H).

    Safety

    Do not drop limb slider; clamp securely after every displacement.

  • 6Calculate total pressure P = H + h and compute product P × l.
    Observation

    P · V products calculate to 1500, 1498, 1501, 1496, 1500 cm² Hg, verifying Boyle's Law.

    Safety

    Keep mercury spill collection tray under apparatus at all times.

  • 7Lower the open tube below the closed tube by several steps to take negative gauge pressure readings (P = H - h) and verify P × V = constant.

Tap + on a step to see what you will observe and any safety tips.

Record your observations

Atmospheric H (cm Hg)Manometer Difference h (cm Hg)Total Pressure P = H ± h (cm Hg)Air Column Length V (cm)P · V Product (cm² Hg)
75.8 cm Hg-15.8 cm Hg60.0 cm Hg25.0 cm1500.0
75.8 cm Hg-5.8 cm Hg70.0 cm Hg21.4 cm1498.0
75.8 cm Hg+0.0 cm Hg75.8 cm Hg (Atm)19.8 cm1500.8
75.8 cm Hg+9.2 cm Hg85.0 cm Hg17.6 cm1496.0
75.8 cm Hg+24.2 cm Hg100.0 cm Hg15.0 cm1500.0

Tap a highlighted cell to write your own observation.

Result and conclusion

The product of total absolute pressure P and air column volume V remains constant within 1.2% variance. The P versus 1/V graph is a straight line through the origin.

P · V = k (Constant at room temperature T = 298 K)
ObservationWhat it means
Inverse ProportionalityPressure P and volume V exhibit strict inverse proportionality (P ∝ 1/V) at constant temperature.
Constant Product P·VProduct P · V remains constant at 1499 ± 3 cm² Hg across all five hydrostatic compression trials.
Linear P vs 1/V GraphA plot of absolute pressure P against reciprocal volume (1/V) yields a straight line passing through origin.
Isothermal Assumption ValidAllowing 2 minutes equilibrium between height adjustments prevents adiabatic temperature fluctuations.
Pressure (P) vs Volume (V) Isothermal Hyperbola029578611510015.0 cm8517.6 cm75.819.8 cm7021.4 cm6025.0 cmGas Volume V (cm length)Absolute Pressure P (cm Hg)

Sample readings. Replace with your own results.

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