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Research Analysis

Research Analysis

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Leek-ey Prospect

Predicting Temperature of Soup Under Two Conditions

 

 

OBJECTIVE OF PROJECT

The objective of this project is to determine the time for soup (in this case water pretending to be soup) to cool with and without a lid. Determine how long before the soup is served it can be poured into its cup, and how much longer the soup stays at an acceptable temperature with a lid than without one.

 

BACKGROUND

Brothers Mario and Luigi have afood truck. Every day they pull their truck into the lot at the Water Works Plumbing Fixtures factory, where the workers love their Leek Soup.  They serve it in insulated cups with lids, that seem to do a good job of keep the soup hot, but they don’t know for how long.  The Brother’s leek soup is very popular, and they can’t sell it fast enough.  They think they can sell more soup if they were to have some pre-poured before the workers show up.  What they don’t know is how long before serving can they pour it and have it still hot for their customers.

 

They have contacted you to determine how long before the soup is served they can pour it into the cups.  You are asked to conduct an experiment and analyze the data that predicts the temperature at different times. Determine the time required for the soup to go from boiling to a safe serving temperature. You must research what constitutes a “safe” temperature.  For comparison purposes, you are required to conduct the experiment both with and without a lid on the cup.

 

This goes beyond simply measuring the time for the temperature to drop. You must model both systems mathematically, determine the k values using data that you collect, predict the temperatures using your mathematical model, and compare that value with the experimental values.

 

PARALLEL ACTIVITES

A worksheet on the math model required by this project will be completed as part of MATH 155 Eng.  Instructors and recitation leaders for MATH 155 are familiar with this project and are available to help with project research.Turn in that worksheet in Math 155.  If you are not in Math 155, you will not have to turn in that form, but a copy will be available for review.

RULES OF THE PROJECT

  1. Each individual on the team is to calibrate the thermometer using the method described below and determine the offset. Each team member is to collect his or her own data and do the data processing separately including computation of the thermal coefficient.
  2. Sheets in the workbook computed by each student should contain a table with his or her raw data, corrected data using that student’s offset, analysis and computation of the thermal coefficient, a graph of the raw data over time, and the graph that determines the thermal coefficient.
  3. Thermal coefficients of all team members should be averaged and that single value used to compute a single theoretical curve using Newton’s Law of Heating and Cooling.

***************************************APPENDIX

Calibration in Ice Water

  1. Add crushed ice and water to a clean container to form a watery slush.
  2. Place thermometer probe into slush for at least one minute taking care to not let the probe contact the container.
  3. If the thermometer reads between 30 and 34, the offset is 0.  If the thermometer does not read between 30° and 34° F, then the offset for your thermometer is the difference required to make the thermometer read 32° F.  For example if the thermometer reads 36° F, then the instrument reads 4 degrees artificially high, and the offset is -4° F.  All readings of the thermometer should be adjusted by subtracting 4° F from it reading.
  4. Report this offset in your spreadsheet, and discuss the calibration in the report.

Institute of Agriculture and Natural Resources. Food Safety – Thermometer Calibration. 2005. 30 09 2013. <http://www.foodsafety.unl.edu/haccp/helpful/thermcalibration>.

Process

Measure and record the temperature of the room (ambient temperature)

Use the provided expanded polystyrene cup and lid provided.  Water in the cup should be heated to boiling point in a microwave oven.  The cup should then be removed (USE CAUTION WITH HOT LIQUIDS)from the microwave and the thermometer positioned in the cup so that it does not touch the sides.   The end of the probe must not come in contact with the cup itself.  You can leave the plastic sleeve on thermometer.  Once in place, the cup and thermometer must not be touched again until the conclusion of the experiment.  Data should be recorded in the table provided and the experiment must then be repeated at least one more time.

 

 

 

 

 

 

 

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Research Analysis

Any scientific research project is done to meet a certain goal. The research on the temperature changes of soup is no different from other scientific researches. The only difference is that some researches are aimed at innovation while this was aimed at ascertaining a fact and giving direction on conduction of duties. The aim of the project at hand was to determine how long boiled soup would take before it finally cooled down to a temperature that would make it possible to eat the soup. Using water, in the place of soup, and having two separate experiments, one with the soup covered and the other the soup………….

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