Pneumatics and Fundamental Gas Laws

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Questions and Answers

What is the fundamental relationship described by Boyle's Law?

  • Pressure is directly proportional to Volume
  • Volume is inversely proportional to Pressure (correct)
  • Pressure is directly proportional to Temperature
  • Volume is directly proportional to Temperature

According to Gay-Lussac's Law, if the temperature of a gas increases, the pressure will decrease, assuming volume and the amount of gas are held constant.

False (B)

Name three advantages of using compressed air in industrial applications.

Unlimited supply, easy transport, explosion-proof

A __________ compressor is typically used in food and pharmaceutical industries due to its non-contaminating operation.

<p>diaphragm</p> Signup and view all the answers

Match the type of compressor with its operational characteristic:

<p>Reciprocating Piston Compressor = Multi-stage cooling Sliding Vane Rotary Compressor = Compact, smooth air delivery Axial-Flow Compressor = Air flows axially Radial-Flow Compressor = Air flows outward radially</p> Signup and view all the answers

Which of the following is an example of a 'special cylinder' designed to prevent impact at the end of its stroke?

<p>Cushioned Cylinder (A)</p> Signup and view all the answers

A single-acting pneumatic cylinder can exert force in both directions (extend and retract) using compressed air.

<p>False (B)</p> Signup and view all the answers

What are the two methods mentioned for air drying to remove moisture?

<p>Absorption Drying, Adsorption Drying</p> Signup and view all the answers

The formula for calculating the theoretical piston force in a pneumatic system is $F_{th} = A \times$ _______, where A represents the cylinder area.

<p>P</p> Signup and view all the answers

In the context of pneumatic systems, what is the purpose of 'exhaust regulation'?

<p>To release excess air (B)</p> Signup and view all the answers

Flashcards

Pneumatics Definition

Branch of engineering dealing with the behavior and application of compressed air.

Pneumatics Function

Uses pressurized air to power, control, or regulate machines.

Pneumatics in Fluid Power

Part of fluid power technology involving the generation, transmission, and control of power using air.

Boyle's Law Relationship

Volume and pressure are inversely proportional when temperature is constant.

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Charles' Law Relationship

Volume is directly proportional to temperature when pressure is constant.

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Gay-Lussac's Law

Pressure is directly proportional to temperature when volume is constant.

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Avogadro's Law

Gas amount is directly proportional to volume.

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Reciprocating Piston Compressor

Multi-stage cooling.

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Diaphragm Compressor

Used in food and pharmaceutical industries

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Exhaust Regulation

Releases excess air.

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Study Notes

Introduction to Pneumatics

  • Pneumatics is a branch of engineering that deals with the behavior and application of compressed air.
  • Pressurized air is used to power, control, or regulate machines.
  • This is part of fluid power technology using air for generation, transmission, and control of power.

Compressed Air Characteristics

  • Working pressure is typically 6 to 8 bar.
  • Maximum force can reach up to 50 kN.
  • Actuation types include manual, pneumatic, and electric.

Fundamental Gas Laws

Boyle's Law (1662, Robert Boyle)

  • Volume and pressure have an inverse relationship.
  • Formula: P1V1 = P2V2
  • Example: A gas occupies 12.3 L at 40.0 mmHg, then its volume is 8.20 L at 60.0 mmHg.

Charles' Law (1787, Jacques Charles)

  • Volume and temperature have a direct relationship.
  • Formula: V1/T1 = V2/T2
  • Example: A gas at 600 mL and 20°C expands to 681.91 mL at 60°C.

Gay-Lussac's Law (1808, Joseph Gay-Lussac)

  • Pressure and temperature have a direct relationship.
  • Formula: P1/T1 = P2/T2
  • Example: A gas at 3.0 atm and 20°C heated to 50°C is 3.3072 atm.

Avogadro's Law (1811, Amadeo Avogadro)

  • Gas amount and volume have a direct relationship.
  • Formula: V1/n1 = V2/n2
  • Example: If 5.00 L contains 0.965 mol, the volume at 1.80 mol is 9.3264 L.

Combined Gas Law

  • Combines Boyle's, Charles', and Gay-Lussac's Laws.
  • Formula: (P1V1)/T1 = (P2V2)/T2
  • Example: A gas at 3.50 L, 2.00 atm, and 300 K, compressed to 1.75 L and heated to 400 K has a pressure of 5.3333 atm.

Ideal Gas Law

  • Formula: PV = nRT
  • R Values include the following:
    • 8.3145 L-kPa/mol-K
    • 0.0821 L-atm/mol-K
    • 62.36 L-mmHg/mol-K

Compressed Air Technology

History & Development

  • Ktesibios (Ancient Greece) used compressed air for a catapult.
  • Industrial applications started in the 1950s.

Characteristics of Compressed Air

  • Advantages:
    • Unlimited supply and easy transport
    • Insensitive to temperature fluctuations and explosion-proof
    • Clean
  • Disadvantages:
    • Requires preparation
    • Not ideal for constant motion
    • Loud exhaust noise and high operating cost

Economic Efficiency Factors

  • Delivery Volume: Theoretical vs. Effective
  • Pressure Requirements: Typically 600 kPa (6 bar)
  • Drive Types: Electric motor or internal combustion engine

Compressors

  • Types of Compressors:
    • Reciprocating Piston Compressor: Multi-stage cooling
    • Diaphragm Compressor: Used in food and pharmaceutical industries
    • Sliding Vane Rotary Compressor: Compact, smooth air delivery
    • Two-Axle Screw Compressor: Uses intermeshing rotors
    • Roots Blower: Moves air without compression
    • Axial-Flow Compressor: Air flows axially
    • Radial-Flow Compressor: Air flows outward radially

Compressor Regulation Methods

  • Exhaust Regulation: Releases excess air
    • Shut-off Regulation: Closes intake
    • Grip-arm Regulation: Keeps suction valve open
    • Speed Regulation: Adjusts motor speed
    • Suction Throttle Regulation: Reduces intake
    • On-Off Regulation: Alternates between full load and stop

Air Preparation & Drying

  • Moisture Removal Methods:
    • Absorption Drying: Chemical reaction
    • Adsorption Drying: Uses silica gel
    • Low-Temperature Drying: Cools air below dew point
  • Air Filters & Regulators: Remove contaminants and maintain pressure

Pneumatic Cylinders & Actuators

  • Types of Cylinders:
    • Single-Acting Cylinder: Uses spring return
    • Double-Acting Cylinder: Moves in two directions

Special Cylinders

  • Cushioned Cylinder: Prevents impact
    • Tandem Cylinder: Higher force
    • Multi-Position Cylinder: Adjustable strokes
    • Impact Cylinder: High-speed
    • Rotary Cylinder: Converts linear to rotary motion

Mounting Types

  • Threaded
  • Foot
  • Flange
  • Swivel Mounts

Cylinder Force Calculations

  • Theoretical Piston Force Formulas:
    • Fth = A × P
    • A = ã… D²/4 (Cylinder area)
    • P = Operating pressure
  • Effective Piston Force:
    • Single-Acting Cylinder: Fn = A × P − (FR + FF)
      • FR = Friction force
      • FF = Spring force
    • Double-Acting Cylinder:
      • Forward Stroke: FFS = A × P – FR
      • Return Stroke: FRS = A' × P – FR
    • A' = Ï€(D² − d²)/4 and d = piston rod diameter

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