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003
Temperature and Pressure
        Term used to measure the degree of hotness or coldness of a thermodynamic substance with
reference to standard value. Thermometer is the instrument used to measure temperature.

Arbitrary scale, t:

        Centigrade or Celsius (oC)
                On the Centigrade or Celsius scale the boiling point of water at standard atmospheric
                pressure is 100oC and the freezing point is 0oC.



        Fahrenheit (oF)
               On the Fahrenheit scale the boiling point of water at standard atmospheric pressure is
               212oF and the freezing point is 32oF.

                  Conversion:
                                                o
                                                    C
                                                         5
                                                         9
                                                              F  32
                                                             o



Absolute Temperature, T:

        Kelvin (K) = oC + 273
        Rankine (oR) = oR+ 460


ZEROTH LAW OF THERMODYNAMICS

        Zeroth Law of thermodynamics states that if two closed system with different temperatures
are brought together in thermal contact with a third system, the heat will flow from the system with a
high temperature to the system with low temperature until the bodies reach thermal equilibrium with
each other.

PRESSURE
       The pressure of a fluid is defined as force per unit area, measured in Pascal defined as 1
Newton per square meter.

              F                          N
        P                    ;             or kPa
              A                          m2




                                                                 Gage Pressure,
                                                                 (+) Pgage
                              PRESSURE




                                           Atmospheric
                                           Pressure, Patm
                                                                                                Absolute pressure, Pabs
                                                                        Vacuum
                                                                        Pressure, (-) Pvac


                                                                                 Absolute
                                                                               Pressure, Pabs

                                                                                                   Absolute zero pressure


                                                    FIGURE 1-5: A graphical representation of pressure


Absolute Pressure
       Absolute pressure is measured from the datum of absolute zero pressure or perfect vacuum.

Atmospheric Pressure
      Atmospheric pressure is the pressure caused by the weight of the atmosphere.

        Pabs  Patm  Pgage

                  At standard sea-level, the atmospheric pressure is:
                          1 atm = 101.325 kPa = 14.7 psi = 760 mmHg

Gage Pressure
        Gage pressure is a pressure difference between the system and the atmospheric pressure. An
ordinary pressure gage will have a reading of zero this simply means that there is no excess pressure
other than the atmospheric pressure.
Vacuum Pressure
      Vacuum pressure is a pressure which is significantly lower than atmospheric pressure.

        Pabs  Patm  Pvacuum

Pressure and Depth of the Fluid
         If an object P is placed in a container, the object experiences a pressure acting normal all over
its surface. This pressure is due to the weight of the fluid above it and increases proportionally as the
object goes deeper inside the container.


                                P  Pa tm  h
                    Patm



                                P  Pa tm  h
        h
                                 P  h
                P


                                Where:  = specific weight of the fluid


PROBLEM SET:

1.1 Consider a vertical spring-loaded piston cylinder. The gas inside the cylinder has a pressure of 130
    kPa. And the spring exerts a downward force of 200 N on the top of the piston. The diameter of
    the piston is 10 cm and the atmospheric pressure is 1 bar. Determine the mass of the piston that
    will maintain equilibrium. Neglect the friction effects between the surface of the piston and the
    cylinder.




                                                    Air




1.2 An open tank is filled with 6.0 meters of water and 3.2 meters of gasoline with specific gravity of
    0.90. Determine:
       (a) The interface pressure between the water and gasoline
       (b) The pressure at the bottom of the tank.
       (c) The force exerted by the fluids at the bottom when the diameter of the tank is 1.3 meters.

1.3 A certain boiler has a pressure of 300 psi. If the barometric pressure is 743 mm of Hg, determine
    the absolute pressure, in kPa.

1.4 A tank contains water having a height of 12 m and oil (SG=0.88) with 4 m above water surface.
    Calculate the pressure of water at the bottom of the tank.

1.5 The pump has a suction pressure of 120 mm Hg vacuum. If the atmospheric pressure is 12 m of
    water, determine the absolute pressure, in m of water.

1.6 Determine the equivalent of 35oF temperature change in oC.

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003

  • 1. 003 Temperature and Pressure Term used to measure the degree of hotness or coldness of a thermodynamic substance with reference to standard value. Thermometer is the instrument used to measure temperature. Arbitrary scale, t: Centigrade or Celsius (oC) On the Centigrade or Celsius scale the boiling point of water at standard atmospheric pressure is 100oC and the freezing point is 0oC. Fahrenheit (oF) On the Fahrenheit scale the boiling point of water at standard atmospheric pressure is 212oF and the freezing point is 32oF. Conversion: o C 5 9  F  32 o Absolute Temperature, T: Kelvin (K) = oC + 273 Rankine (oR) = oR+ 460 ZEROTH LAW OF THERMODYNAMICS Zeroth Law of thermodynamics states that if two closed system with different temperatures are brought together in thermal contact with a third system, the heat will flow from the system with a high temperature to the system with low temperature until the bodies reach thermal equilibrium with each other. PRESSURE The pressure of a fluid is defined as force per unit area, measured in Pascal defined as 1 Newton per square meter. F N P  ; or kPa A m2 Gage Pressure, (+) Pgage PRESSURE Atmospheric Pressure, Patm Absolute pressure, Pabs Vacuum Pressure, (-) Pvac Absolute Pressure, Pabs Absolute zero pressure FIGURE 1-5: A graphical representation of pressure Absolute Pressure Absolute pressure is measured from the datum of absolute zero pressure or perfect vacuum. Atmospheric Pressure Atmospheric pressure is the pressure caused by the weight of the atmosphere. Pabs  Patm  Pgage At standard sea-level, the atmospheric pressure is: 1 atm = 101.325 kPa = 14.7 psi = 760 mmHg Gage Pressure Gage pressure is a pressure difference between the system and the atmospheric pressure. An ordinary pressure gage will have a reading of zero this simply means that there is no excess pressure other than the atmospheric pressure.
  • 2. Vacuum Pressure Vacuum pressure is a pressure which is significantly lower than atmospheric pressure. Pabs  Patm  Pvacuum Pressure and Depth of the Fluid If an object P is placed in a container, the object experiences a pressure acting normal all over its surface. This pressure is due to the weight of the fluid above it and increases proportionally as the object goes deeper inside the container. P  Pa tm  h Patm P  Pa tm  h h P  h P Where:  = specific weight of the fluid PROBLEM SET: 1.1 Consider a vertical spring-loaded piston cylinder. The gas inside the cylinder has a pressure of 130 kPa. And the spring exerts a downward force of 200 N on the top of the piston. The diameter of the piston is 10 cm and the atmospheric pressure is 1 bar. Determine the mass of the piston that will maintain equilibrium. Neglect the friction effects between the surface of the piston and the cylinder. Air 1.2 An open tank is filled with 6.0 meters of water and 3.2 meters of gasoline with specific gravity of 0.90. Determine: (a) The interface pressure between the water and gasoline (b) The pressure at the bottom of the tank. (c) The force exerted by the fluids at the bottom when the diameter of the tank is 1.3 meters. 1.3 A certain boiler has a pressure of 300 psi. If the barometric pressure is 743 mm of Hg, determine the absolute pressure, in kPa. 1.4 A tank contains water having a height of 12 m and oil (SG=0.88) with 4 m above water surface. Calculate the pressure of water at the bottom of the tank. 1.5 The pump has a suction pressure of 120 mm Hg vacuum. If the atmospheric pressure is 12 m of water, determine the absolute pressure, in m of water. 1.6 Determine the equivalent of 35oF temperature change in oC.