Module 01: Fundamentals of Thermodynamics

  • Handouts
  • Exercises

LINK: FUNDAMENTALS OF THERMODYNAMICS

Topics:

  • Zeroth Law of Themodynamics
  • Newton’s Law of Motion
  • Pascal’s Principle
  • Archimede’s Principle

1. An automobile has a 1,200kg mass and is accelerated to 7 m/s2. Determine the force required to perform acceleration. (Ans: 8,400N) 

2. A spring is compressed by 0.05 in for every 1 lbf of applied force. Determine the deflection of the same spring when the applied force is 6.5 lbm. Let go =32.0 ft/sec2(Ans. 0.3230 in) 

3. A new temperature scale is desired with freezing of water at 0oX and boiling point at atmospheric pressure occurring at 1000oX. Derive a conversion between degrees Celsius and degrees X. What is the absolute zero in degrees X? (Ans. -2,731.5oX) 

4. A pump discharges into a 3m per side cubical tank. The flow rate is 300 L/min and the fluid has a density of 1.2 times that of water (density of water = 1000 kg/m3). Determine:
a.The flowrate in kg/
b.The time it takes to fill the tank. (Ans. 6 kg/s, 90 min) 

5. An aluminum sphere with a mass of 0.35 g has a radius of 0.50 cm. Determine if the aluminum is solid or has a hollow space inside it? If it has a hollow space, how much is missing from it? 
Aluminum = 2,700 kg/m3(Ans. the sphere is hollow, 1.0637 g)

6. Air contained in a rigid container has a pressure of -0.5 bar. If the atmospheric pressure is 740 mm Hg, and the density of mercury is 13.59 g/cm3, determine the absolute pressure of the container, in bar. (Ans. Pabs = 48.6552 kPa)

7. Considering the Figure shown below, determine the absolute pressure of tank A and tank B. Let SGHG = 13.6 (Ans. 321.0248 kPaabs)

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8. A pressure gauge shown in the figure below is connected to a closed container at a gage pressure of 45 kPa. If the spring scale is k = 55 N/m and the area of the piston is 0.70 cm2, determine how far will the spring be compressed if the portion containing the spring is (a) vacuum (b) open to the atmosphere at 100 kPa. (Ans. 5.727 cm)

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9. A drum contains 2.5 meters of gasoline (SG=0.9), 1 meter of kerosene (SG=0.8) and 2 meter of water (SG=1). If the top of the drum is exposed to the atmosphere, determine the pressure at the bottom of the drum, in kPa. (Ans. 45.126 kPa)

  • Basic Properties of Thermodynamics
  • Pressure Depth Relationship Container
  • Bernoulli’s Equation
  • Flow Measurement

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An open tank is filled with 2 m of water and 1.5 m of kerosene (SG=0.82). Determine (a) The interface pressure (b) The pressure at the bottom of the tank.

SOLUTION:

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D’Alembert’s Principle 02

A car weighing 40 tons is switched to a 2 per cent grade with a velocity of 30 mph. If the resistance is 10 lbs per ton, how far up the grade will it go?

SOLUTION:

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A large tank as shown in the figure contains air, gasoline (0.72) and oil (0.82). If the pressure of the air is 120 kPagage, calculate the velocity at point 2 (assume no losses at any point).

SOLUTION:

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Banking Angle

(a) At what angle of super elevation should a highway curve, 183 meters in radius be designed for a rated speed of 72 kph. (b) Also, at what over speed shall skidding to impend if the coefficient of friction is 0.30.

SOLUTION:

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Total Acceleration

A cyclist runs at a velocity of 48 ft/sec on a circular track of radius 800 ft and increases speed at the rate of 1.2 ft/sec2 in the tangential direction. What is the cyclist’s total acceleration at this instant?

SOLUTION:

Fluid Mechanics

  • Fluid Properties
  • Archimedes Principle
  • Stability
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