There is a faucet in the sink where 45c hot water and 20 c cold water are mixed in a normal flow. The ratio of the mass flow rate of hot water to the mass flow rate of cold water is 0.5 times, and the cold and hot water are mixed in a well - insulated space with a pressure of 100 kpa. a) Accurately state the energy equation and mass conservation equation for this system. b) Find the temperature T3 of the water coming out of the faucet.
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![There is a faucet in the sink where 45c hot water and 20
c cold water are mixed in a normal flow. The ratio of the
mass flow rate of hot water to the mass flow rate of
cold water is 0.5 times, and the cold and hot water are
mixed in a well - insulated space with a pressure of 100
kpa.
a) Accurately state the energy equation and mass
conservation equation for this system.
b) Find the temperature T3 of the water coming out of
the faucet.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77b8ed4b-a84e-437d-b3fb-d0240cbf7687%2Fb6aa0538-c99d-41d0-939a-430309de8f21%2F2rv43re_processed.jpeg&w=3840&q=75)
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.The following is the temperature control system of a heat exchanger. a)Identify the type of system. b) Calculate the steady state error when it is subjected to an input. r(t) = 2 c) Calculate the steady state error when subjected to an input. r(t) = 3t R(s) 15 C(s) 5³ - 5²² + 5sYour cafeteria is serving chicken noodle soup today, which it sources from adistributor and then warms up locally in the kitchen. The soup now sits in a large bowl anda server uses a large ladle to fill the soup into the smaller bowls handed out to the students.Consider the following variables:• Outside temperature.• Duration that the soup was heated before being put in the bowl.• Temperature of the soup in a student’s bowl.• Temperature level to which the soup is warmed up.• Insulation of the bowl used for storing the soup.• Duration that the soup bowl is open when the server inserts the ladle to serve a student.Which of these variables are (a) input variables, (b) output variables, and (c) environmentalvariables?
- . Mary and Tom operate a lemonade stand. They are concerned that the lemonade doesnot taste fresh at the end of the day. Which of the following variables is an environmental variable in their operation?a. The temperature of the lemonade when they take it out of their refrigerator in themorningb. The temperature of the air during the dayc. The temperature of the lemonaded. The temperature of the water used to make the lemonadeConsider the mixing process shown in the figure. A mixing chamber initially contains 4 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.25 kilograms per liter is injected into the mixing chamber at a constant rate of liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10 + r liters per minute. (a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture. (dQ/dt)=? (b) The objective is to obtain a dye concentration in the outflow mixture of 0.1 kilograms per liter. What injection rate r is required to achieve this equilibrium solution? r = ? Would this equilibrium value of r be different if the fluid in the chamber at time t=0 contained some dye? yes, no or maybe? (c) Assume the mixing chamber contains 4 liters of clear liquid at time t. How many minutes will it take…Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…
- A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposed#5 Which of the following is a simulation? some method of generating virtual measurements that look like what would be gotten from a sample taking a series of measurements based on multiple samples measuring the mean and standard deviation of measurements from a sample specifying the expected mean and standard variation of measurements for an entire population
- i need help with calculating rate of diffusion for 3 crystals and 6 crystals Diffusion Diffusion Diffusion Spot Spot Time Spot Diameter 1 Diameter 3 Diameter 6 (min) Crystal Crystals Crystals (mm) (mm) (mm) 10 15 0-15 0-15 20 16 0-16 0-16 30 18 0-18 0-18 Time Rate of Diffusion for Rate of Diffusion for 3 Crystals Rate of Diffusion for 6 Crystals (min) 1 Crystal (mm/hr) 0-10 90 0-20 48 0-30 36 (mm/hr) (mm/hr) Rate [mm/h] = (diameter [mm] / time [min]) x 60 [min] XCould anyone explaine me this problem? The courier company guarantees pick up of packages within 11 minutes of the scheduled time. Therefore, there are two requirements: on time and up to 11 minutes late. The information for the examples taken is as follows: n = 4, X double bar = 13.00, R bar = 4.9. Assume normal distribution and process in control. Determine Capability index Cp.The following data was recorded while observing the increase in the number of butterflies in two different ponds, Pond A and Pond B. Number of Butterflies Present Over 5 Years Year Pond A Pond B 0 50 65 85 1 2 3 4 5 100 O 110 121 133 146 161 110 143 186 What is the rate of growth, r, for each pond and which pond has the fastest average rate of growth over the five years? TA = 1.1, TB = 1.3, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg = 3.72 butterflies/yr TA=0.9, TB=0.8, mg=27.2 butterflies/yr TA = 1.1, TB = 1.3, mg=27.2 butterflies/yr
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