4. A special manometer fluid has a specific gravity of 2.95 and its barometric pressure is 760 mm Hg. What height will the manometer fluid indicate?
5. The potential energy of a body of mass 10.0 kg is 1.5 kJ. What is the height of the body from the ground? If a body of mass 10 kg is moving at a velocity of 50 m/s, what is its kinetic energy?
6. A man whose weight is 600 N takes 2 min to climb up a staircase. What is the power developed in him if the staircase is made up of 20 stairs, each 0.18 m in height?
7. The diffusivity of a gas pair 4-B is given by the equation where DAB is in cm/s, T is the absolute temperature in K, MA and MB are the molecular weights of species A and B, respectively, P is the pressure in atm, is the Lennard-Jones parameter in angstrom units, and is a dimensionless parameter. If the equation is written as where DAB is in m/s, T is in K, P is the pressure in Pa, s is the Lennard-Jones parameter in nanometres, what is the value of C?
8. The heat capacity of carbon dioxide gas is given by the equation where CP is in Btu/lbF and is in F. Change the equation into the form in which CP is given in kJ/(kmol K) and temperature is in K.
9. Mass flow through a sonic nozzle is a function of gas pressure and temperature. For a given pressure p and temperature T, the mass flow rate through the nozzle is given by the equation where m is in lb/min, p is in psia, and T is in R.
a. Determine what the units for the constant 0.0549 are.
b. What will be the new value of the constant, now given as 0.0549, if the variables in the equation are to be substituted with SI units and m is calculated in SI units.
10. Wine making involves a series of very complex reactions, most of which are performed by microorganisms. The starting concentration of sugars determines the final alcohol content and sweetness of the wine. The specific gravity of the starting stock is therefore adjusted to achieve the desired quality of wine. A starting stock solution has a specific gravity of 1.075 and contains 12.7 wt% sugar. If all the sugar is assumed to be CHO, determine:
a. kg sugar/kg H2O
b. lb solution/ft3 solution
c. g sugar/solution