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1. 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$^\circ$C.
   • What is the combined volume of the water and steel?
   • What is the combined mass?

2. A piston with a radius of 10 cm and a mass of 50 kg presses down on water inside a cylinder. The atmospheric pressure of 100 kPa also presses down on the top of the piston. What is the water pressure?

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 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?