Calendar: 1889-1890 Page 762

116 ENGINEERING DEPARTMENT Prove that if cubical box be filled with any liquid the total pressure to which it is subjected is equal to three times the weight of the liquid which it contains State Boyle's law and explain the nature of the limit a- tions to which it is subject cylindrical receiver fitted with piston contains air at pressure of 14 lbs per square inch when the piston is feet from the bottom of the receiver What will be the pressure of the contained air when the piston is forced down until it is inches above the base and how far should the piston be pushed in order to increase the pressure to 145 lbs per square inch Explain the action of the hydraulic press The small piston of hydraulic press is inch in diameter and is worked by lever the distance from the piston to the fulcrum is inches and from the fulcrum to the power is 36 inches If the large piston is inches in diameter what is the mechanical advantage Explain the action of the common air-pump Deduce formula for calculating the density of the air after any number of strokes Describe the construction of the weight thermometer and illustrate by means of an example the method of using it for determining the coefficient of apparent expansion of mercury Why is the instrument called weight thermo- meter weight thermometer which contains 200 grammes of mercury at is placed in an oil-bath and the mercury expelled is found to weigh grammes Find the temperature of the bath the coefficient of apparent expansion of mercury in glass being 000155 Describe method of determining the coefficient of increase of pressure of gas under constant volume An iron cylinder at 15 contains air at pressure of atmo- spheres if the cylinder is made to stand pressure of 24 atmospheres find the temperature to which the cylinder may be raised before it is burst Show how to determine the latent heat of water