1. If the variation of air pressure P(z) can be expressed as , where z is the height above the sea level, estimate the air pressure at a mountain top which is 3000 m above sea level. Assuming the molecular weight of air is 29 g/mol, air is an ideal gas, g is a constant of 9.8 m/s2, the air pressure at sea level is 1 atm, and the temperature is constant = 15 oC.
2. If a turbine of a hydroelectric power plant is fed by water falling from 30-m. Assuming the efficiency of conversion from potential energy to electric energy is 80% and a 10% loss when electric power is transmitted through power line, what is the required water flow rate to make a 100W power plant?
3. What is the absolute pressure when the mass of the substance on a dead weight gauge is 20 kg, and the inner diameter of the cylinder is 2 cm? Assuming the g=9.82 m/s2 and the atmosphere pressure is 745 torr