1 Due 9/5

1. A Stirling engine uses a cylinder with a diameter of 2 cm closed by a piston. What must the pressure inside the cylinder be so that the net upward force on the piston is 50 N? The ambient pressure is 100 kPa.

2. (Use English units only, no SI.) A hundred gallon tank holds 2 lb (or rather lbm, pound mass) of oxygen. What is the specific volume $v$ in ft$^3$/lbm? What is the specific volume $\bar v$ in ft$^3$/lb mol? (Note that by the definition of “lb mol” the Molar Mass M is either in kg/kmol or lbm/lb mol.)

3. A manometer is filled with light oil. The difference in the height of the oil at the two sides is 10 cm. What is the pressure difference between the two sides? If the same pressure difference is measured using mercury instead of light oil, what would be the difference in height between the two sides?

4. A pressurized container holds 3 kg of steel immersed in 2 L of water. The pressure inside the container is 300 kPa and the temperature 23$\POW9,{\circ}$C.
   • What is the combined volume of the water and steel?
   • What is the combined mass?