In this problem, you should treat food caloric energy as just another sort of energy.  Below is a nutrition label for a single serving of shave ice. Notice a single serving is listed as 60mL. Ooops! I made a mistake, the 60mL on the nutrition label only refers to the amount of syrup that goes on your Shave Ice BUT we care what happens to the ice part of the Shave Ice. A typical serving of Shave Ice has a volume of 240mL shaved ice. Please use the volume of the ice (240mL) instead of 60mL (of the syrup). Please check the PHYS 2A announcements as I will have more to say there. Note, there was also a typo in the unit conversion shown below. I have crossed out the 60mL and replaced it 240mL AND converted it correctly this time.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

This might be a lot of work and a lot of explaining but I need help creating an energy system diagram like the example below and writing a reasoning summary to explain the final answer to my big question.

A new "diet" Phenomenon

Your friend Trent is excited about physics because they have discovered they can eat all the shave ice they want without gaining any weight. He says, “I can put just the right amount of flavored syrup on the ice such that I don’t gain any net energy in the process.” You, being a PHYS 2A student, are skeptical and decide to check it out for yourself. You’ll need to model “eating” the shave ice. All the information you need to answer this question can be found here, on the Maybe Useful Information page. 

The Big Question you are trying to answer is: Do you agree or disagree with Trent’s claim: “I put just the right amount of flavored syrup on the ice such that I don’t gain any net energy in the process.” 

Your task is to answer the Big Question in the form of an argument using the Claim, Evidence, Reasoning framework. To do this, you will need to model "eating" the shave ice to come up with a quantitative prediction of the energy gained/released during the process of "eating." Be sure to include any relevant annotations, assumptions, graphical representations, and algebraic representations to support your argument. Below are some questions / prompts to help in case you get stuck.

Guiding Questions / Prompts:

Note, you do not need to answer these questions explicitly (i.e. provide a list of answers). However, your overall solution should demonstrate you know all the answers.

  1. What is the Big Question asking? What does “net energy gain” mean? 
  2. What is shave ice? Is it similar to any substance we have worked with before? Are there any assumptions we can make about it to make the problem simpler? 
  3. How do you “eat” shave ice? (i.e. what do you do with it, where does it go? ). Tell a story about what happens to the shave ice.
  4. What representation will help you tell this story? Can you add any information about the beginning and / or end?
  5. “Eating” can be complex (the reason I keep putting the word "eat" in quotes is because you are creating a model of "eating" which will require ignoring some processes)! How can we model the scenario in the simplest way possible? Remember, we want to tell the story of the shave ice. Are there any assumptions that will simplify the scenario? Can you ignore chewing? How are you interacting with ice?
  6. Keep telling the story of the shave ice as you “eat” it. What do you know about the final state? Can you figure out the final phase and / or temperature? Again, are there any assumptions you can make to simplify the scenario?
  7. What representation(s) can help you figure out the amount of energy gained/released when "eating" a single serving of shave ice?
  8. What does your final quantitative answer mean? How will you answer the Big Question based on your evidence?

 

Milestone 1 Maybe Useful Information

Did you know that the "Calorie" count listed on food is actually a unit of energy?  Be careful if you look up the conversion from Calories to kilojoules, because the food Calorie (capitalized) is actually short for a physics kilocalorie (uncapitalized).  The correct conversion for food Calories is:

1 Calorie = 4.184 kJ

In this problem, you should treat food caloric energy as just another sort of energy. 

Below is a nutrition label for a single serving of shave ice. Notice a single serving is listed as 60mL.

Ooops! I made a mistake, the 60mL on the nutrition label only refers to the amount of syrup that goes on your Shave Ice BUT we care what happens to the ice part of the Shave Ice. A typical serving of Shave Ice has a volume of 240mL shaved ice. Please use the volume of the ice (240mL) instead of 60mL (of the syrup). Please check the PHYS 2A announcements as I will have more to say there. Note, there was also a typo in the unit conversion shown below. I have crossed out the 60mL and replaced it 240mL AND converted it correctly this time.

This is a volume, VV, not a mass. You can convert volume to mass if you know the density ρρ (Greek letter "rho", rhymes with "low") of your substance. Density has units of [kgm3][kgm3]. Therefore, to find mass from density:

m=ρVm=ρV

What substance can you model shave ice as (hint you may make assumptions as long as you state and justify them)? Can you look up its density?

Is there a way you can determine mass from the volume of  60mL (0.06L = 0.0000006m)  240mL (0.00024m3) once you determine what substance to model the shave ice as? 

Shave Ice
業
A FLAVOR FOR EVERYONE
Treats are made to order using the finest, flakiest snow and vibrant, true-to-life flavors.
Authentic Sno Biz Shave Ice treats are light and flaky and are eaten with a spoon.
NUTRITION INFORMATION
Serving Size
2 oz./60ml
Calories
150
Calories from Fat
Total Fat
og
0g
O mg
10 mg
36 g
Saturated Fat
Cholesterol
Sodium
Total Carbohydrate
Dietary Fiber
Sugars
Og
36 g
Protein
0g
% of U.S. Recommended Daily Allowance (U.S. RDA)
Vitamin A
Vitamin C
0%6
Calcium
0%
Irọn
FLAVORS
ALMOND
BANANA
BIRTHDAY CAKE
BLACKBERRY
BLACK CHERRY
BLUEBERRY
BLUE BUBBLEGUM
BLUE RASPBERRY
BUTTER BEER
CANTELOUPE
CHEESECAKE
CHERRY
CINNAMON
COCONUT
COLA
COTTON CANDY
RIZA
GRAPE
GREEN APPLE
GUAVA
KIWI
LEMON
LEMONADE
LIME
MANGO
MARGARITA
ORANGE
PASSION FRUIT
PEACH
PINA COLADA
PINEAPPLE
PINK BUBBLEGUM
PINK GRAPEFRUIT
PINK LEMONADE
POMEGRANTE
RED APPLE
RED RASPBERRY
ROOTBEER
SPEARMINT
STRAWBERRY
TAMARIND
TANGERINE
TIGER'S BLOOD
TUTTIFRUTTI
VANILLA
WATERMELON
STRAWBERRY-CLEAR
BLUE COTTON CANDY
INGREDIENTS Sugar, Citric and/or Malic Acid, Natural and Artificial Flavors,
Sodium Benzoate and Potassium Sorbate (preservatives), Calcium Silicate
(anti-caking agent), FD&C Red # 3, Red # 40, Yellow #5, Yellow #6, and Blue #1.
Transcribed Image Text:Shave Ice 業 A FLAVOR FOR EVERYONE Treats are made to order using the finest, flakiest snow and vibrant, true-to-life flavors. Authentic Sno Biz Shave Ice treats are light and flaky and are eaten with a spoon. NUTRITION INFORMATION Serving Size 2 oz./60ml Calories 150 Calories from Fat Total Fat og 0g O mg 10 mg 36 g Saturated Fat Cholesterol Sodium Total Carbohydrate Dietary Fiber Sugars Og 36 g Protein 0g % of U.S. Recommended Daily Allowance (U.S. RDA) Vitamin A Vitamin C 0%6 Calcium 0% Irọn FLAVORS ALMOND BANANA BIRTHDAY CAKE BLACKBERRY BLACK CHERRY BLUEBERRY BLUE BUBBLEGUM BLUE RASPBERRY BUTTER BEER CANTELOUPE CHEESECAKE CHERRY CINNAMON COCONUT COLA COTTON CANDY RIZA GRAPE GREEN APPLE GUAVA KIWI LEMON LEMONADE LIME MANGO MARGARITA ORANGE PASSION FRUIT PEACH PINA COLADA PINEAPPLE PINK BUBBLEGUM PINK GRAPEFRUIT PINK LEMONADE POMEGRANTE RED APPLE RED RASPBERRY ROOTBEER SPEARMINT STRAWBERRY TAMARIND TANGERINE TIGER'S BLOOD TUTTIFRUTTI VANILLA WATERMELON STRAWBERRY-CLEAR BLUE COTTON CANDY INGREDIENTS Sugar, Citric and/or Malic Acid, Natural and Artificial Flavors, Sodium Benzoate and Potassium Sorbate (preservatives), Calcium Silicate (anti-caking agent), FD&C Red # 3, Red # 40, Yellow #5, Yellow #6, and Blue #1.
Energy-Interaction Model
Example Melting ice
Process 1: lce at T= 0°C => Water at T = 0°C
%3D
Ice
Heat
Etherm
Ebona
al
AT=0
Initial phase Solid, Final phase Liquid
AE=0
AEth + AEbond=
Q+W
-th
AEbond= Q
Transcribed Image Text:Energy-Interaction Model Example Melting ice Process 1: lce at T= 0°C => Water at T = 0°C %3D Ice Heat Etherm Ebona al AT=0 Initial phase Solid, Final phase Liquid AE=0 AEth + AEbond= Q+W -th AEbond= Q
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON