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In Alzheimer's disease, the number of neurons in the cortex decreases as the disease progresses. The following data were taken to determine the number of neurotransmitter receptors left in a diseased brain. Free neurotransmitter
Using the data below, determine the parameters that minimize the sum of the squares of the residuals. Also, compute
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0.1 | 0.5 | 1 | 5 | 10 | 20 | 50 |
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10.57 | 36.61 | 52.93 | 82.65 | 89.46 | 94.35 | 101.00 |
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Chapter 20 Solutions
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- Complete the following Table for water. For each case, draw a separate T-v diagram and qualitatively mark each thermodynamic state on the diagram. Show all required calculations for full credit. p[kPa] T[°C] v [m³/kg] u [kJ/kg] X state h [kJ/kg] 2260 275 400 700 350 1 2000 20arrow_forwardThe Antoine Equation can be used to estimate vapor pressure at various temperatures for different substances using sets of empirically-derived constants. The equation can be written as: Where for water A = 8.07131, B = 1730.63, C = 233.426, T = temperature [°C], and P = vapor pressure [mmHg]. Note that with these constants the temperature and pressure must be provided in °C and mmHg, respectively. Using the Antoine Equation and the provided constants, what atmospheric pressure (provided in terms of % of standard atmospheric pressure) will permit water to boil at 75 °C?arrow_forwardA gaseous mixture consists of 75 prcent methane (CH4 ) and 25 percent ethane (C2H6) by mass. One million cubic feet (106 ft3) of this mixture is trapped in a geological formation as natural gas at 300oF and 2000 psia. a) Determine the mass [lbm] of this gas using a compressibility factor based on Dalton's law of additive pressures. b) Determine the mass [lbm] of this gas using a compressibility factor based on Amagat's law of additive volumes.arrow_forward
- Amount of gas depleted .7 A house with an annual heating demand of 8000 [kWh] is heated by a gas boiler with an efficiency of 0.9 (on HHV). How much gas is depleted? The higher .heating value of gas is 9.8 [kWh/m3] [m3] 8889 O [m3] 7200 O [m3] 907 [m3] 735arrow_forward2. Complete the blank cells in the following table of properties of steam. In the last column describe the condition of steam as compressed liquid, saturated mixture, superheated vapor, or insufficient information; and, if applicable, give the quality. P[kPa] T[°C] v[m³/kg] а. 500 20 b. 500 0.20 с. 1400 200 d. 300 0.8arrow_forwardWater at atmospheric pressure enters a 1.2 [cm] ID, 2.4 [m] long electrically heated vertical pipe at a subcooling of 15 [℃]. the inlet velocity of water is 1.1 [m/s], and the heated power is 8 [kW]. Using the homogenous equilibrium model (HEM) of the two-phase flow, determine the following parameters. The length of the boiling section of the channel The liquid and the vapor mass flow rates at the exit of the channel The liquid and the vapor volumetric flow rates at the exit of the channel The exit quality The exit void fraction Plot the axial distributions of the flow quality and the void fraction along the channel How will your answer to parts (e) change if the two-phase flow in the boiling section experienced phasic slip with a constant slip ratio, S = 1.6?arrow_forward
- The following processes occurs in a reversible thermodynamic cycle: 1-2: Reversible polytropic compression at pressure [X] bar at volume [Y] m3 to a pressure [Z] bar and specific volume [A] m3/kg. The index of compression may be taken as n. 2-3: Reversibly expansion with expansion index of 2 to pressure [B] bar. 3-1: Reversible cooling at constant volume to the initial state. What are the final attempt values of X, Y, Z, A and B from the Part A of the eThuto Assessment. calculated formula similar question? X= ; Y= ; Z= ; A= ; B=arrow_forwardIn a building located at sea level, air flowing at 6000 lbm/hr is cooled from 80°F drybulb and 75°F wet-bulb to full saturation at the outlet of a cooling coil operating with an apparatus dew point temperature of 55°F. Please determine the following and mark process on a psychrometric chart at sea level a) The amount of water removed in [lbm/hr] b) The amount of latent heat removed in [BTU/hr] c) The amount of sensible heat removed in [BTU/hr] d) The Sensible Heat Factor of the cooling coil e) The cooling coil capacity in [BTU/hr]arrow_forward1. Refrigerant R-22 with the mass of 2 kg is located inside the sealed container, initially saturated vapor at 6.8 bar. Heat was added to refrigerant and final pressure reached 20 bar according to pv=const. Neglecting the kinetic and potential energy changes determine: Internal energy change in [J] Heat added to the refrigerant in [J] and work done by fluid in [J]. 3.draw the Temperature-volume diagram showing all stages. 4.What do you think about the final stage condition? Is it gas, liquid-gas, or liquid stage? Use energy balance equation and find all unknowns using the NIST webbook.arrow_forward
- You have three springs. You conduct several tests and determine the following data. Click the icon to view the provided graph. Choose one correct spring or spring combination that will meet the following criteria as closely as possible. Assume you have one of each spring available for use. List the spring or spring combination and the resulting spring constant. (a) You want the spring or spring system to hold 71 grams [g] and displace approximately 0.75 centimeters [cm]. The appropriate system is spring 2 and spring 3 in parallel with the stiffness of N/m. (Round your answer to the nearest whole number.) More Info Force (F) [N] F = 0.075x F = 0.035x F = 0.02x Spring #1 Spring #2 ▲ Spring #3 Elongation (x) [mm] Xarrow_forwardProblem 3. Using the T-s chart complete the following table of thermodynamic properties for water. Show your states on the chart. State 1 N 3 4 T [°C] 500 100 P[kPa] 2000 10.000 v [m³/kg] h [kJ/kg] 3445 Phase [Quality if Applicable] Sat. vapor [x = 1.0] Saturated [x = 0.75]arrow_forward12. Imagine a solar collector for hot tap water in a hot climate. De outdoor temperature is 22 degree Celsius. De tank of the solar collector is placed outside, and the cold water temperature to the collector is 20 degree Celsius. De water flow rate through the collector is 45 liter/hour. De collector is 2 [m2] and the average solar radiation in the time period considered is 1000 [W/m2]. What is the temperature of the hot water to the tank? The efficiency of the collector can be assumed to be 0.7 (we neglect the dependency to the water temperature) (multiple choice, one answer) 34 [OC] 47 [OC] 54 [OC] 67 [OC] 74 [OC]arrow_forward
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