Essay About Model Of The Melting Of Ice And Melting Of Ice Tea

Producing a Model of the Melting of Ice – Essay – lilzzle
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Producing a Model of the Melting of Ice
Producing a model of the melting of iceFor this exploration I chose to model the melting of ice tea. My motivation started in maths class. It took me longer to understand calculus than most of my classmates and after I grasped it it still seemed abstract. This is when I set myself to apply what I was learning in some real life context, something that would help me understand it better. In the end, I decided to investigate the melting of ice tea.With all the work that we get in school, I hardly ever found myself having a break. This is when my mother and I decided that every weekend we go out at the local Hema and help ourselves to a meal. While complaining about the difficulties of school, I always found that by the time I got to drinking my ice tea, it would have long melted. This is when I started thinking of how my ice tea melted. I immediately got the connection of what I had learnt the year before in my physics classes, in thermodynamics and in this case specifically about the latent heat of fusion, Q = mL and also specific heat capacity, Q = cmΔT. From this, I knew that the rate at which my ice tea was melting was very much influenced by the mass of ice I had to start with but also the difference in temperatures of the ice tea and the environment around it. Finally, it made sense that the more ice melted, the faster the rate of melting would be I.e since there is less ice to melt and also smaller difference with surrounding temperature. I therefore concluded that this was going to be a decreasing graph. With this I hoped to produce equations of the melting of ice and to create a model of this, which would allow me to calculate how long I could complain before my ice tea became water.However my main goal, was to apply the calculus I was learning in class which then still seemed abstract to me, into a personal situation that could help me understand it better.Collecting DataTo be able to create the model I wanted to create I had to solve a series of equations after performing an experiment. Seeing as I was focusing on the melting of ice, I decided to measure the mass of a melting ice block. As this ice block was a spherical shape, the starting equations are based off of this. To be able to graph the melting of the ice, I measured the starting mass of ice while in a room at room temperature and continued to measure its mass every 5 minutes for 1.5 hours. While this experiment could have taken a longer period of time to have gained a more accurate model, having done this would have not been practical. I also believe that the current data points are plenty enough to produce a reasonably accurate model of the melting of ice. From this model and the equation made thereof, the mass of the ice can be calculated at any given time. The collected data is on the following page.

Time (min)051015202530354045T (ºC)790787782777773769765760756752Time (min)505560657075808590T (ºC)748745741739734730727722717GraphingUsing the collected data, I produced a scatter graph on Microsoft excel with time plotted on the X axis and mass plotted on the Y axis.From this graph the following assumptions were made:The constant is negative: the graph has a negative correlation, reflecting on that the rate of change of the radius is a negative, -kWhen time (t) = 0, mass (M) = 790: the initial mass of the ice, the y-intercept is 790

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(2015, 11). Producing a Model of the Melting of Ice. EssaysForStudent.com. Retrieved 11, 2015, from
“Producing a Model of the Melting of Ice” EssaysForStudent.com. 11 2015. 2015. 11 2015 < "Producing a Model of the Melting of Ice." EssaysForStudent.com. EssaysForStudent.com, 11 2015. Web. 11 2015. < "Producing a Model of the Melting of Ice." EssaysForStudent.com. 11, 2015. Accessed 11, 2015. Essay Preview By: lilzzle Submitted: November 23, 2015 Essay Length: 2,503 Words / 11 Pages Paper type: Essay Views: 407 Report this essay Tweet Related Essays 1920's Flappers - Good Role Models? In the 1920's many women were known as flappers. Flappers were not the best role models for younger girls. They were teenage girls who dared 410 Words  |  2 Pages Rational Decision Making Model Q2. Explain the rational decision making model is there any other alternative to rational decision model if so explain them. Ans: The ability to make 459 Words  |  2 Pages Porter’s Model of Apple Intro -background - mission statement - corporate culture - subsidiaries - structure -Company description - SWOT - financial ratios - stock market trends - advertisement 2,324 Words  |  10 Pages A Good Role Model is easy to answer some hard questions such as what does DNA (Deoxyribonucleic acid) stand for. One who studies in microbiology gets that answer in 865 Words  |  4 Pages Similar Topics Inducible Activator Produced Serratia Proteamaculans Porters Profit Vrio Model Get Access to 89,000+ Essays and Term Papers Join 209,000+ Other Students High Quality Essays and Documents Sign up © 2008–2020 EssaysForStudent.comFree Essays, Book Reports, Term Papers and Research Papers Essays Sign up Sign in Contact us Site Map Privacy Policy Terms of Service Facebook Twitter