# Cooling Water And Exponential Funtions Essay

979 words - 4 pages

The Water Cooling ExperimentDuring this lab we measured, using our CBL's and graphing calculators, the change in temperature of a glass of boiling water left to cool in a room. The purpose of the lab is to see how exponential functions can be applied to real-life applications. During the experiment I'm expecting for the water temperature to decrease as soon as the water is taken of off the heating device. If the water is left in the room long enough, the temperature will be able to reach room temperature, no less.Using the calculator, CBL, and temperature probe, the room temperature was taken to find out the lowest temperature the water could cool to (the asymptote). To get the most accurate room temperature reading, I had to keep the probe extremely still because movement could cool off the probe and give a false reading. Also by shortening the intervals in which the CBL took the readings allowed for accurate results. A glass of water was then brought up to boiling temperature. After the water started boiling, a temperature probe (connected to the CBL) was left in the water as the calculator and CBL took temperature readings. I let the probe sit in the water for a few seconds before starting the temperature readings to allow the probe to heat up to the same temperature of the water. This prevented the results from showing an increase and then decrease in temperature. The readings were taken every 60 seconds for 36 minutes.The data, as stated before, was expected to resemble an exponential decay function. The graph reinforced this hypothesis by showing an original steep decrease in temperature, and then slowing down as it neared the asymptote (room temperature) at 22.11 degrees Celcius (see figure 1). This data set was saved to list 1 and list 2 in the calculator. List 3 and 4 consisted of the log of x and y respectively (see spreadsheet - figure 4). A linear regression line was then performed on (x, log(y)) and (log(x), log(y)). As expected the linear regression of (x, log(y)), the exponential model, was the better fit. We know this because the absolute value of the "corr" value was closer 1 than the (log(x),log(y)) power function's (see figure 5). Once the linear equation was found it needed to be changed into an exponential equation:When this equation is graphed along with the data, I found that the line looked to be as good of a fit as the "corr" coefficient showed it would be (see figure 2). To see exactly how good of a fit the line was, I found the residuals by substituting the original x values into the exponential equation and then subtracting the y corresponding y values: y1(x)-y. These residuals show you how far away from the line the data set is. The graph of the residuals (see figure 3) shows that the line is a good fit because the points...

## Find Another Essay On Cooling Water and Exponential Funtions

### Experimental study of force convective heat transfer of CuO/water nanofluid in a microchannel heat sink

715 words - 3 pages . [17] investigated enhancement of convective heat transfer of Al2O3/water nanofluid in the electronics cooling systems. Experimental results showed that the convective heat transfer coefficient of nanofluid in the turbulent flow at 6.8 vol% concentration was 40% higher than that of pure water. They also experimentally evaluated the effect of nanoparticle size on the heat transfer coefficient using 36 nm and 47 nm Al2O3 nanoparticles. It was

### How a nuclear power plant works

533 words - 2 pages generator. In contact with the tubes in which the water of the primary circuit go trough, the secondary circuit water heats up and turns into steam. This steam turns the turbine driving the alternator that produces electricity. After passing through the turbine, the steam is cooled back to water and returned to the steam generator in liquid state for a new cycle.The third circuit or cooling circuit : to condense the steam and dissipate the heatFor

### Global Warming - We CAN Make a Difference

1283 words - 5 pages atmosphere becomes warmer. The gases key to this process are water vapor and carbon dioxide and methane. The natural greenhouse effect has kept the Earth's average surface temperature around 33 degrees Celsius, warmer than it would be if there were no atmosphere. The natural gases in the greenhouse effect are water vapor (H2O), carbon dioxide (CO2), ozone (O3), as well as other trace gases. Life could not exist if there was no natural greenhouse

### Performance Test of a Compression Ignition Engine.

1822 words - 7 pages the heat content of the fuel is transformed into power, during the combustion process, many different losses take place. These losses can be divided into two general classifications: thermodynamic and mechanical.Thermodynamic Losses can occur as a loss to the cooling systems, loss to the surrounding air, loss to the exhaust and imperfection of combustion.Heat losses from the cooling water were observed during the test run in litres per second but

### poisson theorem

1631 words - 7 pages What is VVERDesignPrimary cooling circuitSecondary circuit and electrical outputCooling circuitSafety barriersOperational life of VVER 1000Future versionsPower plantsGalleryConclusionsReferencesWhat is VVERVVER stands for Vodo-Voda Energo Reactor. It is also known as WWER: Water-cooled Water-moderated Energy Reactor.The VVER reactor itself was developed by ROSATOM subsidiary OKB Gidropress, while the nuclear power stations employing the VVER

### cylindrical equilibrium equations

1631 words - 7 pages What is VVERDesignPrimary cooling circuitSecondary circuit and electrical outputCooling circuitSafety barriersOperational life of VVER 1000Future versionsPower plantsGalleryConclusionsReferencesWhat is VVERVVER stands for Vodo-Voda Energo Reactor. It is also known as WWER: Water-cooled Water-moderated Energy Reactor.The VVER reactor itself was developed by ROSATOM subsidiary OKB Gidropress, while the nuclear power stations employing the VVER

### cylindrical equilibrium equations

1631 words - 7 pages What is VVERDesignPrimary cooling circuitSecondary circuit and electrical outputCooling circuitSafety barriersOperational life of VVER 1000Future versionsPower plantsGalleryConclusionsReferencesWhat is VVERVVER stands for Vodo-Voda Energo Reactor. It is also known as WWER: Water-cooled Water-moderated Energy Reactor.The VVER reactor itself was developed by ROSATOM subsidiary OKB Gidropress, while the nuclear power stations employing the VVER

### The chemistry of water

517 words - 2 pages within organisms would heat faster disrupting the homeostasis of that organism. If water wasnt resilient to heat change bodies of water would also change in temperature faster which could harm organisms living within it. Water is resistant to heating up because when heat is added to water, hydrogen bonds break and water absorbs and stores the heat. When water is cooled hydrogen bonds form witch releases heat, slowing the cooling process.Third

### Why Water is Essential for Human Survival

1318 words - 6 pages about 8 % of the water is used for domestic purposes by mankind. Over 85% of the water used for industrial purposes, is consumed in cooling. The rest is consumed in washing, scrubbing , and for hydraulic solvent . Approximately half a million liters of water is used to produce each car ; this includes the amount of irreversibly expended as water and water reuse. In industrial applications consumes about 22 % of all water used in the world

### Hypothermia therapy

1508 words - 7 pages there, as opposed to cooling the entire body. And with such focused cooling we may be able to rid the negative effects of cooling to the heart muscle. Questions remain to stand though, how is isolated cranial cooling even possible? One study showed that, even though primitive the packing of ice and cool, water around the neck and the head has been shown to reduce the temperature of the brain significantly. But one study in Pittsburgh was unable

### Water: The Genesis of Life

729 words - 3 pages , water became the prime transportation in the ecological society.Air temperature can be stabilized by water because water can absorb and release heat. When the temperature is high, water absorbs heat to break the hydrogen bonds; thus, cooling the hot air. When the hydrogen bonds form, heat is released, causing the surrounding air to warm up. This property of water has many advantages because it keeps Earth's temperature shifts within limits that

## Similar Essays

### Ammonia Cooling Heat Exchanger Replacement Essay

590 words - 2 pages , and a pump for circulating the fluid. Because the cooling water used in the heat exchanger cannot be heated above 50 oC, an intermediate coolant, MultiTherm IG-4, will be used. Cooling water will be used to cool the MultiTherm, hence the need for two exchangers. A pump was sized for the appropriate head and flow rate, and a 1/1000 scale down was made.The first double pipe exchanger allows MultiTherm to flow through the tube side at 1500 kg/hr, as

### Water Requirements Of Power Plants Essay

1542 words - 6 pages their processes, consume more volumes of water than those that release the gas into the atmosphere. The CCS method needs water for the capture, cooling, dehydration, and compression of the emitted carbon dioxide (Zhai, Rubin, and Verseeg 2480). Some of the water is needed in the additional gas cleanup, which is done from time to time during the capture process. More volumes of water are also required to operate the additional generation facilities

### Cooling Systems In Nuclear Reactors Essay

916 words - 4 pages this heat needs to be controlled and filtered out somewhere. The reactor needs to remain cool—usually by water but is sometimes cooled by a gas or a liquid metal. Cooling Systems The basic fuel for a nuclear power plant is uranium. The reactor core is what contains the radioactive material in a nuclear power plant. This radioactive material will continue to give off heat for a long time, and unless this heat is removed, it will build up and will

### Introduction To Climate Change Essay

1375 words - 6 pages recognisable as the trapping of heat and radiation by specific greenhouse gases, namely carbon dioxide, water vapour, nitrous oxide and methane. This gives rise to the greenhouse effect analogous to the heating of a vehicle in a parking lot on a summer's day. However, the world remains partitioned; with those that agree that global warming and its change of climate are a naturally occurring cycle, meaning that human intervention is not to blame and