1. A fan connected to a grain dryer will move 12,500 cfm of air. The dryer system has a heater that will heat ambient air to 104° F. Ambient conditions are 60°F, 20% RH, and Patm = 14.7 psia. Determine the following: 1. Volume flow rate (Q) of heated air 2. Q of moist air leaving the dryer (Assume 92% RH) (cfm) 3. Quantity of sensible heat added to the ambient air (Btu/hr) 4. Relative humidity of heated air (entering the dryer). 5. Cost of heating air using a natural gas burner @ $7.50/MCF. Note that an MCF is 1,000 ft³. Assume a heating value for natural gas of 1050 Btu/ft³. Assume 35% efficiency when heating with natural gas. 2. Rework Problem 1 for ambient conditions of 50°F, 55% RH, and Patm = 13.5 psia.
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
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