Mathematics of Chemistry - Columbia Secondary School

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Name: _________________________
Columbia Secondary School Summer Assignment
Regents Chemistry
Professors Soehl & Jay
Part 1: Please email your professor at either dianasoehl@columbiasecondary.org or
pravinjammula@columbiasecondary.org . Please use your columbiasecondary.org email address and
check it regularly. Don’t forget to include your name. I will put this address on an email distribution
list for the course. This will be useful for communication. There are several parts to this assignment
and you should communicate clearly with your professors if you have a problem over the summer.
Part 2: Chemistry is an extremely rewarding but analytical science requiring skills in mathematics
and graphing data. This section of the summer assignment is a review of math skills required for
chemistry. The idea is that we practice these math skills over the summer, so that we don’t have to
spend too much time when class begins in fall (we don’t want to miss out on LABS!) Do all work on a
separate sheet of paper. Make sure you show your work in each part that requests it of you. For
any calculations, indicate an “estimated answer” (accomplished by your brain without aid of a
calculator) and a “computed answer” (accomplished by using a calculator). Please let me know if
there are any problems with the material and assistance will be offered.
Note: A tutorial on significant figures is provided before that section in the math review.
Part 3: Science vocabulary review and reading assignment is discussed in detail after the math
problems. Chemistry is a unifying science in that it connects biology, physics and earth science as
chemicals are present everywhere in life. This assignment will draw upon past concepts from
previous courses and incorporate them into assignments that will aid in your understanding of
chemistry. Please be sure to scroll down to the summer reading instructions.
The completed packet is due, on FRIDAY (SEPTEMBER 5) of first school week.
Do not procrastinate.
DO NOT ATTEMPT TO COMPLETE THIS IN ONE SITTING!
Work on a different section/topic each week or every other week.
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Name: _________________________
Your brain will remember concepts easier when working throughout
summer instead of cramming the few days before school begins!
You are encouraged to WORK WITH other students
(NOT COPY)
Email any questions to:
dianasoehl@columbiasecondary.org
Part A: Complete the following calculations. Include units on your answers. Show work. Include
both estimated and computed answers. If you cannot reduce units to one, you will just keep them in
your answer…example #12: final units will be J/g C.
1. (100 m)
(26 s)
6.
(8.1 kg)
(0.45 cm x 0.55 cm)
2. (5.1 m) (4.5 m)
7.
0.45 mm x 0.28 mm x 0.85 mm
3. (58 g)
(4 L)
8.
(75 kg) (5.0 m)
(2.5 s) (6.0 s)
4. (34 cm) (21 cm) (8 cm)
9. 26000J
125g
5. 12500 J
(106 g) ( 4C)
10.
1.35 mol
3.55 L
Part B: Simplify the following expressions. Show work.
1. (4f + 13g) (2w)
4.
5 (5y – 4y)
10
2. 100 x 5 x 11
(18)(2)
5. 4d (6d) (0.25d)
3. 6a x 5b2
3a3
6. (2a – 3b)(3b)/ 3cx
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Name: _________________________
Part C: Solve each of the following expressions for x. (x = ?) Show work
1. 2x – 25 = 8
2.
3x = 4y + 8
(if y = 2)
3.
8x + 5y – z = 0
(if y = 4 and z = -1)
4. H = W Q x
5.
Y = (T + 8)
x
6.
x + 6 = 23FG
7. C2D5x = T3K
E 4R
Y
Part D: Express each of the following in standard numerical form.
1. 7.2 x 103
5. 2.6 x 101
2. 9.35 x 10–4
6. 4.852 x 102
3. 8.3 x 10–2
7. 8.57 x 10–1
Part E: Express each of the following in scientific notation.
1. 87,000
5. 2547
2. 0.00035
6. 0.0053
3. 280
7. 0.013254
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Name: _________________________
Part F: Compute the following. Show work. Include estimated and computed answers.
1. (6.02 x 1023) (8.65 x 104)
7. (5.4 x 104) (2.2 x 107)
4.5 x 105
2. (6.02 x 1023) (9.63 x 10–2)
8. (6.02 x 1023) (–1.42 x 10–15)
6.54 x 10–6
3. 5.6 x 10–18
8.9 x 108
9. (6.02 x 1023) (–5.11 x 10–27)
–8.23 x 105
4. (–4.12 x 10–4) (7.33 x 1012)
10. (3.1 x 1014) (4.4 x 10–12)
–6.6 x 10–14
5. 1.0 x 10–12
4.2 x 10–6
6. (–3.2 x 10–5) (–8.6 x 10–9)
Significant Figure Rules
(from:http://www.chem.sc.edu/faculty/morgan/resources/sigfigs/sigfigs3.html)
What is a "significant figure"?
The number of significant figures in a result is simply the number of figures that are known with some
degree of reliability. The number 13.2 is said to have 3 significant figures. The number 13.20 is said to
have 4 significant figures.
Rules for deciding the number of significant figures:
(1) All nonzero digits are significant:
1.234 g has 4 significant figures,
1.2 g has 2 significant figures.
(2) Zeroes between nonzero digits are significant:
1002 kg has 4 significant figures,
3.07 mL has 3 significant figures.
(3) Leading zeros to the left of the first nonzero digits are not significant; such zeroes merely
indicate the position of the decimal point:
0.001 oC has only 1 significant figure,
0.012 g has 2 significant figures.
(4) Trailing zeroes that are also to the right of a decimal point in a number are significant:
0.0230 mL has 3 significant figures,
0.20 g has 2 significant figures.
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Name: _________________________
(5) When a number ends in zeroes that are not to the right of a decimal point, the zeroes are not
necessarily significant:
190 miles may be 2 or 3 significant figures,
50,600 calories may be 3, 4, or 5 significant figures.
The potential ambiguity in the last rule can be avoided by the use of standard exponential, or
"scientific," notation. For example, depending on whether the number of significant figures is 3,
4, or 5, we would write 50,600 calories as:
5.06 × 104 calories (3 significant figures)
5.060 × 104 calories (4 significant figures), or
5.0600 × 104 calories (5 significant figures).
What is an "exact number"?
Some numbers are exact because they are known with complete certainty.
Most exact numbers are integers: exactly 12 inches are in a foot, there might be exactly 23
students in a class. Exact numbers are often found as conversion factors or as counts of objects.
Exact numbers can be considered to have an infinite number of significant figures. Thus, the
number of apparent significant figures in any exact number can be ignored as a limiting factor in
determining the number of significant figures in the result of a calculation.
Part G: Write the number of significant figures in the blank preceding the number.
1. __________ 23
9. __________ 14.380
2. __________ 1.498
10. __________ 307
3. __________ 248.3
11. __________ 1.40082
4. __________ 107
12. __________ 0.00058900
5. __________ 0.238
13. __________ 4500
6. __________ 8.0335
14. __________ 350,000
7. __________ 0.05587
15. __________ 180.00
8. __________ 14.809
16. __________ 3.50
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Name: _________________________
Part H: Write the number of significant figures in the blank preceding the number.
1. __________ 10
6. __________ 102
2. __________ 3201
7. __________ 2.808000
3. __________ 4.00
8. __________ 1.70081
4. __________ 7.09
9. __________ 0.00034900
5. __________ 0.238
10. __________ 60
Part I: Conversion Factors
Below are some conversion factors used in the SI System, and which we will use in this class. Study
these prefixes as well as general units of length, mass and volume: meter, gram, liter.
kilo- = 1000
Conversions
1 kg = 1000 g
1 km = 1000 m
1 kL = 1000 L
centi- = 1/100
milli- = 1/1000
100 cm = 1 m
1000 mg = 1 g
1000 mm = 1 m
1000 mL = 1 L
Other
1 mL = 1 cm3
1 L = 1 dm3
1 cm = 10 mm
Solve each of the following problems. Show the correct set-up and always use units.
1. Determine the number of mm in 2400 m.
2. Determine the number of m in 6300 mm.
3. Determine the number of mm in 14.3 cm.
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Name: _________________________
4. How many seconds are in 6.3 years?
5. Convert 3245 cm3 to liters.
6. The density of lead (Pb) is 11.34 g/cm3. Find the density of Pb in kg/dm3.
7. Convert 2.6 cm of magnesium (Mg) ribbon to mm of Mg ribbon.
8. Convert 0.071 kg sulfur (S) to g of S.
9. A metallurgist is making an alloy that consists of 543 g of chromium (Cr) and 4.5 kg of iron (Fe).
Find the total mass of the mixture in kg.
10. How many mL of water (H2O) will it take to fill a 2 L bottle that already contains 1.25 L of H2O?
PART 3: Summer Science Vocabulary & Practice
Assignments
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Name: _________________________
(Science, ELA and just plain fun with chemistry practice)
Review this Vocabulary (make flashcards, story with terms or build a crossword:
element, compound, matter, mass, volume, data, gram, liter, meter, metric prefixes (kilo-, milli-, centi-,
micro-, nano-), density, melting, freezing, condensation, vaporization, kinetic energy, potential energy,
half-life, nuclear reaction, radioactive decay, C-14, U-238, K-40, specific heat, joule, heat, acid, base,
equilibrium, atom, proton, neutron, electron,
Science Assignments
1. Scientific Method and Experimental Design
Over the summer, cook or prepare something to eat (sandwich, bake a cake, cook soup, make popcorn,
etc). Be sure you have parent permission to use the stove and any electronics. LIST ALL
MATERIALS (the ingredients) you will need. Write out a STEP BY STEP procedure (recipe) to
make the item. Your procedure should be detailed enough that another person should be able to make
the SAME EXACT item following your directions.
2. Graphing and Data Analysis
The purpose of this project is to review graphing, setting up an appropriate x and y axis interval, label
axes and then both interpolate and extrapolate data. You will review graphing with a maximum and
minimum daily temperature data for a city of your choosing. You will make a double line graph with
both min and max data on the same graph.
3. Identifying Patterns
Surely you are all excited to finally use the Periodic Table! So here is your chance to get acquainted
with the most valuable chart in Chemistry! Your summer assignment is to memorize the names and
symbols of the first 20 elements and to complete an activity learning about the information in the
periodic table.
4. Element Names: To review element names and symbols complete of Element word search
and “Elemetary My Dear Watson”
5. Videos: WHAT IS CHEMISTRY WORKSHEET (on next page)
6. OPTIONAL ASSIGNMENTS FOR BONUS POINTS
What is Chemistry? Worksheet
You will watch a series of YouTube videos and answer corresponding questions about what
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Name: _________________________
is chemistry.
Video # 1 “A Day Without Chemistry” by: BytesizeScience
Link: http://www.youtube.com/watch?v=AbfW_CMMe48
1.
Based on the video, have you used chemistry today? Name three ways:
Video # 2 “What is Chemistry?” by CerebellumCorp
Link: http://www.youtube.com/watch?v=I-3DEFwHEzs&feature=related – This one is a little
corny so get excited!
2.
Based on the video what is a definition of chemistry?
3. Chemistry looks and sounds different because its written like a whole new language.
According to the video what is the first step in understanding chemistry?
Video #3 “These Are The Elements (Periodic Table Song, in order)” by bookbusband
Link: http://www.youtube.com/watch?v=xQu2eSeM66o&feature=fvwrel – Bonus Pts to
anyone who can sing this song entirely on the first day without looking at the screen!
4. List five elements you’ve heard of in daily life before starting this summer assignment.
Video #4 “Atom – Bill Nye” by senorw
Link: http://www.youtube.com/watch?v=cnXV7Ph3WPk&feature=related
3. The word ‘atom’ comes from a Greek word meaning what?
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Name: _________________________
4. What are the charges and locations of the proton and neutron in an atom?
5. What is the charge and location of an electron in an atom?
Video #5 “Chemical Reactions – Periodic Table of Videos” by periodicvideos
Link: http://www.youtube.com/watch?v=UkBhW8Kj3r8
8. This video was assigned to get you excited about some of the demonstrations and
experiments you will see this year (we cannot do all of them but you will see some!) Tell me
one experiment or part of the video that you found exciting and would like to do in class. You
can also tell me about some experiment that you’ve seen on TV or heard about from
other people.
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Name: _________________________
Name _______________ Date __________ Period _____
"Elementary My Dear Watson"
READ THIS FIRST: You may (or may not) be familiar with the stories of "Sherlock Holmes"
and his assistant "Dr. Watson" written by the author Sir Arthur Conan Doyle. In the stories,
Holmes and Watson solved many mysteries. With that in mind, get prepared to solve a mystery
of your own. You will need a periodic table (use the one inside the back cover of your Science
book), a pen or pencil, and the ability to read "words" that are made up of chemical symbols.
(You may have to use your imagination when reading some of the words !)
Instructions: Below is a solution to a mystery. You will have to fill in the blanks as follows:
* If a chemical symbol is given, substitute the name of that element (for example, if the clue is
"Ag" then write the word "silver" in the blank.
* If the name is given, then write the symbol in the blank (for example if the chemical name
"Indium" is the clue, then write the symbol "In" in the space.)
* If you are given two or more symbols together, you make a word out of the clue (for example:
carbon + argon = C + Ar = Car)
* Sometimes the names of compounds are symbolized by formulas (HINT: since we haven't
covered formulas yet, I will give them to you here: SiO2 is quartz and Fe2O3 is rust {actually, it
is ferrous oxide, but we’ll just call it rust.} )
So, good luck. The game is afoot! (This is Sherlock Holmes language for let's get started!)
******************************************************************
'Twas the week before Christmas when Inspector Lestrade came to me with a most distraught
gentleman in tow. (Helium) _____ explained that the gentleman had purchased several pieces of
(Ag) _____ and (Au) _____ jewelry for his wife (or mistress, (iodine) _____ surmised), which
had disappeared during a street (carbon + argon) _____ ride ((nobelium) _____ doubt to see
(hydrogen + erbium)_____!). The victim interrupted with "You must (Fe) _____ this out before
the 24th, Mr. (Ho) _____! I will not (Fe2O3) _____ until the jewels are recovered and the
culprit made to (S) _____ as (iodine) _____ have this day! (holmium + tungsten) _____ dare
someone (sulfur + tellurium + aluminum) _____from me! I'd gladly (Ba) _____ with the fishes
and watch him (Zn) _____ in the Thames!" His diatribe did then to (B) _____
(Oxygen + nitrogen) _____ questioning, I learned the (carbon + argon) _____ was number (Sn)
_____ an express which did not stop during (hydrogen + iodine + sulfur) _____ trip. (Arsenic)
_____ to unusual events, (helium) _____ remembered a (Cu) _____ evicting the occupants of
the seat behind him and sitting there himself. Enjoying the ride, (helium) _____ was just
thinking "these areas (As) _____", when a bad jolt made the (calcium + selenium) _____ of
jewelry (sulfur + lithium + phosphorus) _____between the seat and back of the bench (helium)
_____ occupied. The (Cu) _____ retrieved it for him. (Oxygen + nitrogen) _____ checking
later, he found the jewelry missing from the (calcium + selenium) _____. (Astatine) _____
their destination, (helium) _____and the (Cu) _____ searched everyone, and each other,
(arsenic) _____ well as the (carbon + argon) _____. (Nobelium) _____jewels were found.
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Name: _________________________
By this time, Lestrade seemed eager to (beryllium) _____ rid (oxygen + fluorine) _____our
pompous victim, as (tungsten + arsenic) _____ (iodine) _____. (Indium) _____ private, the
Inspector explained that he wasn't personally (Sb) _____, but just wanted the theft cleared
(uranium + phosphorus) _____quickly (sulfur + oxygen______ he could get (oxygen + nitrogen)
_____ to matters more important than petty theft. (Iodine) _____ agreed to help, not to save
the Inspector time and embarrassment (tungsten + helium + nitrogen) _____ he failed, (arsenic)
_____ I (potassium + neon + tungsten) _____ he would, but because I had the (calcium +
selenium) _____ already solved. Informed of this, the Inspector cried, "(Sulfur + oxygen)
_____ fast! (Hydrogen + oxygen + tungsten) _____?!" My only reply (tungsten + arsenic)
_____ that he meet me after (I) _____d, armed and carrying a (Ni) _____.
(Astatine) _____ dusk, the Inspector and (iodine) _____ rode the next to last streetcar of the
day to the end (oxygen + fluorine) _____ the line, the (C) _____. I used Lestrade's (Ni)
_____ to pay my fare. (Indium) _____ the deserted (C) _____ I found number (Sn) _____ and
climbed inside. Reasoning that the culprit sat behind our victim (Pb) _____ me to examine that
seat, and I found scratches on the (F) _____. Prying (uranium + phosphorus) _____ a loose
piece of (F) _____, I found the missing (Ag) _____ and (Au) _____ jewelry in a (boron + silver)
_____. I substituted worthless (SiO2) _____ to simulate the heft of the (rhenium + aluminum)
_____ articles, and replaced the (boron + silver) _____ under the (F) _____. The Inspector
and (iodine) _____ then concealed ourselves to await the thief. Nearly dozing (oxygen + 2
fluorine) _____, I was startled by the sound of footsteps echoing (indium) _____ the deserted
(C) _____. A shadow entered number (Sn) _____ and I heard the (F) _____ being lifted, a
brief silence, then an expletive and "The jewels (Ar) _____ !" The Inspector yelled "Police!"
and I yelled "(Cs) _____!" as we both jumped into different ends of the streetcar. After a
brief struggle, the Inspector had his (Ne) _____ the culprit, (tungsten + holmium) _____ was
subdued and handcuffed. I turned (oxygen + nitrogen) _____ the torch and beheld a uniform
(oxygen + fluorine) _____ blue with (bromine + arsenic + sulfur) _____ buttons. "(Ho) _____!"
exclaimed the Inspector, "It's the (Cu) _____" "Of course," I replied. "It's elementary,
Inspector. He's a (Si) _____who found his comedy routine impersonating a (Cu) _____ in prison
to (beryllium) _____ infinitely (molybdenum + rhenium) _____rewarding on the outside-almost!"
** On another sheet of paper, make a list of all of the elements used in this assignment.
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Name: _________________________
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Name: _________________________
Optional Assignment
Extracurricular activity scavenger hunt. Complete the task listed, and provide the appropriate documentation (indicated
in parentheses). For every five that you complete and document successfully, we will give you five bonus points
on your first course exam. They must be completed in groups of five.
 Watch the news/Check the Google News Aggregator/Read a newspaper at least once a week. (copy of article, or
log of date/URL and a 1-sentence summary of a news item from each week for at least eight weeks)
 Write a 1-page paper on a scientist of your choice (paper, submitted on day 1)
 Put an inflated balloon in your freezer overnight (photos of before and after)
 Bring in samples of five different elements. (brought to class on day 1)
 Bring in samples of five different compounds (brought to class on day 1)
 Go to two state parks and take a walk. (photos AND maps)
 Go see the Willamette Meteorite in the American Museum of Natural History. (photo AND stub)
 Go see “The Musicians” at the Metropolitan Museum Art. (photo of you in the hallway- you can’t take a picture in
the gallery AND stub)
 Go to a roller coaster-based amusement park. (photo AND stub)
 Go to a beach on the north shore AND one on the south shore. Collect sand from each in glass jars. (jars of sand
AND photos)
 Sleep outside, under the stars. (photo)
 Read more than one non-fiction, non-required-for-English-Class book. (list, photos, AND 3 sentence summaries of
at least two books)
 Play the board game “Settlers of Catan” or “Risk” or the card game “Apples to Apples” (photo)
 Put a Linux distribution on your computer. (photo)
 Build your own personal website. (url)
 Make your own clothing. (wear it to school)
Additional Not so Random Announcements:
LAB FEE for class: $25.00 for the year for consumable items used in lab investigations. Please
have your parent write a check or put money in a sealed envelope with YOUR NAME and class, as
well as teacher name. These lab fees should be submitted on first day of school or as soon as
possible.
Plagiarism is Not New & Is Not Okay.
All work submitted in this class must be your own original work as stated in the class syllabus for
Chemistry. This includes summer work, essays, vocabulary, lab reports and any other work
submitted for credit. If the words are not yours, neither is the credit! Aside from appropriately cited
article, inclusion of work done by anyone other than yourself will receive a grade of “0” (zero).
Repeated instances of plagiarism will result in a grade of Fail in Chemistry. All violations of NYCDOE and CSS Academic Integrity Policy will be reported to the administration.
FIELD TRIP PERMISSION SLIP
We expect to do one or to field trips to Columbia University to explore Chemistry. Please fill out and return
the permission slip. The sooner we get the slips back, the sooner we get to do Chem investigations at CU!
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Name: _________________________
Chancellor’s Regulation A-670
Parent Notification/ Consent Form
Day Trip
Name: ___________________________
Address:
__________________
__________________________________________
Email: ___________________________
School: Columbia Secondary School
Trip Date: open
Trip Coordinator: Diana Soehl
Departure Site: Columbia Secondary School
Destination: Departure Time: Lab Periods Return Site & Time: CSS
Mode of Transportation: walking
Columbia University
Purpose of Trip: Intermittent Chemistry Investigations at CU Campus (additional permissions
required)
Specific Clothing/ Equipment Required for this Trip: School Uniform
This trip will include the following physical and sports activities: Walking
a) I understand that there are potential risks associated with the above-listed activities and I consent
to my child’s participation in all activities except for the following:
_______________________________________________________________________________
b) Please indicate below any permanent or temporary medical or other conditions including special
dietary and medication needs, or the need for visual or auditory aids, which should be known about
your child:
____________________________________________________________________________
c) I understand that as a parent, if I believe it is necessary to limit my child’s activity to a great
extent, then the school may not be able to accommodate my child on this trip and that I and my
child will be informed of this decision as soon as possible upon receipt by the school of this
completed consent form.
d) I agree that in the event of any emergency injury or illness, the staff member(s) in charge of the trip
may act on my behalf and at my expense in obtaining medical treatment for my child.
e) I understand that my child is expected to behave responsibly and to follow the school’s discipline
code and policies.
f) I agree and understand that I am responsible for the actions of my child, and I release the school for
all claims and liabilities that arise in connection with the trip, except if due to the negligence of school
officials.
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Name: _________________________
g) I understand that I am responsible for getting my child to and from the departure and return sites
identified above. I understand that my child shall be accompanied by staff member(s) during the trip,
including while traveling from the departure site to the destination site, and from the destination site to
the return site.
h) I understand that alcoholic beverages and/or illegal drugs are prohibited and have discussed this
prohibition with my child. I understand that if my child is found in possession of these substances,
he/she will be subject to school disciplinary procedures and possible criminal persecution.
i) I understand that students who violate the school’s discipline code may be excluded in the future by
the school from participating in a trip.
j) In an emergency I can be reached at: Day: (_________) _________________________
Evening: (__________) ___________________________
Additional Contact: Name: ______________________________________
Day: (_________) __________________________
Evening: (__________) ___________________________
k) I give my permission for my child to participate in this school trip.
____________________________________
(Signature of Parent/Guardian)
_________________
(Date)
Student Declaration (To be signed by Middle School and High School students)
I have read this form and I understand that I am to act on this trip in the same responsible manner in
which I am expected to conduct myself at school.
_____________________________________
(Signature of Student)
_________________
(Date)
Health Insurance Information:
Insurance Company Name:
Policy Holder Name:
Group or ID #:
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Name: _________________________
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