Lab 2: Measurement Tools & Skills 

The second lab addresses a critical part of science, which is to know how to use measuring tools, how to make accurate measurements, and how to communicate those values clearly. In science you also want to be sure that the accuracy of the measurements are properly shown. Lab 2 gets you started with that skill.  
Building the International Space Station involved thousands of measurements. They were all crucial to the integrity of the station . Measurements are also vital to the operation of the station. 

Objectives 

Objective 1: Use measuring tools correctly.
In this experiment you will be looking at some of the measuring tools in the lab. Specifically, these are the metric ruler, thermometer, graduated cylinders, and digital balance. These measure length, temperature, volume, and mass (weight) respectively. These tools let you find and communicate accurate facts about items. A lot can be learned from these simple measurements. 

Objective 2: Read and record measurements correctly (significant figures and units). This objective means you try to get the most out of the tools mentioned above by being as accurate as possible. The words, "significant figures" (also called significant digits), mean being clear about its accuracy; neither underestimating or overestimating the accuracy. The words, "and units", means don't forget to include the unit of measurement (its dimension). In math classes, you normally deal with abstract numbers like "5, 3, and 7.5"; however, chemistry deals with measurements, so "5, 3, and 7.5" are not good enough. Writing "7.5" instead of "7.5 cm" is wrong because "cm" is just as important as "7.5". 

Objective 3: Associate metric units with the quantity being used. The metric system is one of the greatest inventions of mankind. Without a system that allows everyone to find agreement on measurements such as distance, mass, and volume, the advances in technology including modern manufacturing and trade would have been impossible. King Louis XVI of France was the one who ordered this new system in 1790. Seeing the beauty in its simplicity and ease of standardizing measurements, he declared "Metrics is for all people for all time." Metrics is based on the Earth, water, and the fact we have 10 fingers. Even George Washington and Thomas Jefferson begged the Congress to adopt a system just like the metric system. Unfortunately, Congress procrastinated, and we would were stuck with the English system. Metrics is covered in one of the lecture tutorials. You can visit it by following this link: 

Applications 

Applications for "Objective 1: Use measuring tools correctly".
In chemistry as in many fields, you will frequently be measuring something and be using a variety of measuring tools. These tools could be a simple metric ruler or a complicated electronic pH meter. 

Medical Applications: Measuring out the proper dose in a syringe. Taking someone's blood pressure. Knowing how to use both digital and analog thermometers and knowing which ones are used for ears, forehead, mouth, and rectum.
General Applications: Nearly every discipline involves making measurements. Measurements are only as good as the measuring tool and the person's skill at using that measuring tool. 

Applications for "Objective 2: Read and record measurements correctly".
A person may know which measuring tool is the most appropriate tool to use and know how to set up the tool to take measurements, but that person must also know how to read and record those measurements correctly. For example, a person may know that an analytical balance is the right choice for weighing items under half a pound. That person may also know the proper way to zero the balance and to prevent fluctuations in the mass by using the balance's wind blocking cover. However, if the balance reads "125.0000 grams" and the person only writes down "125 grams", then the person did not record the the measurement correctly. In other words, a $2,000 balance was treated like a $10 balance as far as recording accuracy was concerned. 

Applications for "Objective 3: Associate metric units with the quantity being used."
Americans really need to think in metrics rather than in English units. The rest of the world plus nearly all scientific disciplines in the USA have changed to the Metric system. So when you pick up an item that shows mass or volume, get in the habit of looking at both the metric and English units on the label. For example, a 12 ounce can of soda is listed as 355 mL (milliliters). The advantage of milliliters is that water weighs essentially 1 gram per milliliter. So this can of diet soda weighs around 355 grams. If you only looked at 12 fluid ounces, the mass of the can would not be easy to figure out. 

Principles for Using Measuring Tools Properly Graduated Cylinders, Volumetric Flasks, Pipettes, and Burets 

A graduated cylinder is a common tool in chemistry for measuring volume. When using these, make sure you are on a flat surface. For the most accurate volume, choose the smallest graduated cylinder that can measure that volume. For example, to measure around 8 milliliters, use a 10 mL graduated cylinder, not a 100 mL cylinder. A 10mL graduated cylinder has markings in 0.1mL increments. A 100mL graduated cylinder has markings that are in 1 mL increments. You can be 10 times more accurate with the 10mL graduated cylinder for volumes 10mL or less.
Water has a tendency to creep up the inside wall of the graduated cylinder. So the water surface isn't flat. It will be bowed. They call this curved surface the meniscus from the Greek word meniskos meaning "crescent" like the crescent of the moon. The bottom of the curve is where you read the water's volume. In the upperright closeup image, the bottom of the meniscus is between 20.6 and 20.8 mL (The divisions here are 0.2 mL apart.) When you have your eye at the correct level, the lines on the graduated cylinder will look horizontal rather than curved. Notice the lines on the closeup image are horizontal. That means you have your eyes level with that area of the graduated cylinder.


In this graduated cylinder, the lines appear bent downward. That means the eyes are too high to read the level properly.  
The volumetric flask and pipette shown only have a single mark. Like the graduated cylinder, water is measured by looking at the bottom of the meniscus. So the bottom of the meniscus would be just touching the marking for the volume. Also, like measuring graduated cylinders, you get your eye so the marking appears as a horizontal line. In the volumetric flask on the left, the eye is too high because the mark for 250mL looks like an oval instead of a horizontal line.  
Principles for Using Measuring Tools Properly: Liquid and Digital Thermometers 

In the past, thermometers contain mercury, even those used with patients. The one here was made for taking people's temperature. 37°C is the body's normal temperature (same as 98.6°F). It did a good job if you shook the mercury down to the bottom before using. However, after realizing how unsafe these were, it is really difficult to find these in the stores anymore. You may find mercury thermometers in places that have to measure temperatures between 200°F and 550°F because mercury thermometers can measure higher temperatures than the alcohol filled ones.
The digital thermometers are now popular. There are also many variations of these. 

The left digital thermometer is the replacement for the glass mercury thermometers. As electronics got more miniaturized and sophisticated, devices like these have gotten cheaper and common place. The right thermometer is for getting temperature from the ear.
The science behind the left thermometer is that contains a thermistor, which is an electrical resistor that changes its resistance at different temperatures. As the temperature goes up, the electrical resistance comes down and that is converted to a temperature reading on the display. The ear thermometer doesn't contact the ear drum, so it is measuring the amount of infrared light emitting from the ear. The detector is an array of small thermocouples. A thermocouple is two different metals sandwiched together. A thermocouple is used by your gas water heater or gas oven to sense if the pilot light is on. It's also used for the thermostat of your air conditioning. These infrared detectors use an array of very small thermocouples (called a thermopile). As they are exposed to heat, they generate an electrical voltage, which can be converted to a reading on the display window. 

Your kit has an 12 inch glass alcoholfilled thermometer in a white plastic case. They call these alcoholfilled, but the liquid might be a mixture of liquids and not just alcohol. Your thermometer has markings for every degree Celsius. The cap on the case snaps on and off. Be aware that some thermometers are made to be totally immersed in the liquid they are measuring temperature. These often have a loop on top so they can be hung by a string while immersed in the liquid. The ones put into aquariums are often the total immersion type thermometers. Their readings are only accurate if totally immersed. The one in your kit is not that type despite the fact that it has a loop. Just immerse the bulb end where the liquid is. 

Principles for Reading and Recording Measurements Correctly: Reading devices that use a graduated scale and knowing significant figures 

Liquid thermometers, graduated cylinders, and rulers have something in common. They all use markings to indicate the whole units of measurements and fractions of that measurement. 

On devices that use graduated markings, the whole units are usually marked with thicker lines and the fractions are smaller lines evenly spaced between them. To know what size of fraction they represent, you need to count the spaces. In the image on the left, there are 5 spaces between 8 and 9. "8 and 9" are 1 apart. So each space is 1/5 or 0.2. If this scale were in centimeters, then the smaller marks are spaced 0.2 centimeters apart.  
This scale has more markings between the labeled marks than the one above. If you counted the spaces, you would count 10 spaces. That makes each step 1/10 (0.1) of the distance between the labeled 8 and 9 marks. If this scale was measuring milliliters, then each small mark is 0.1 milliliters apart.
The mark just before the red arrow is 9/10ths of the distance between 8 and 9. So that mark is 9/10th of 1, which is 0.9. The arrow is close to 8.9, but don't report it as 8.9 milliliters. To get a more accurate reading of this measurement, try to visualize 10 steps between the 8.9 and 9.0. The easiest one to visualize would be 5 steps (5/10) or halfway between 8.9 and 9.0 For example, if the red arrow was halfway between 8.9 and 9.0, we would report the answer as 8.95 milliliters, but the red arrow is less than halfway. 

Again, what you do is estimate halfway between the 8.9 and 9.0. That's pretty easy. Now estimate halfway between 8.9 and 8.95. That would be 8.925 in theory, but in practice you can't see that accurately. The arrow is very close to half of the first half. So it would be recorded as 8.92 or 8.93. Either one would be correct.
So the first two digits (8.9) are measured without any estimation. They make 2 significant figures (also called significant digits). The last digit is an educated estimate, but it does give us more accuracy. So that gives us a third significant figure. In other words, you want to squeeze a little more accuracy from these devices than just what the markings tell you. Again, you do that by estimating between the marks. 

In this scale, there are no markings between 8 and 9. You could report the answer as 9 because that's the closest, but you can do better than that. Again, you want to visualize that space between 8 and 9 being divided up into 10 steps. You could begin by visualizing the halfway point between 8 and 9. Now visualize the point that is half way from that point to the 9. That would be 0.75.
Roll cursor over the image to see these visualized lines. If the arrow is just to the right of the 0.75 line, then call the measurement 8.8. If farther to the right, you could estimate 8.9 If it is just to the left of the 0.75 line, call the measurement 8.7. If farther left and closer to 8.5, then call it 8.6. If the arrow is aligned with the 0.75 line, report it as 8.7 or 8.8. I'd call the arrow 8.8. Remember, these kind of markings could be on a thermometer, ruler, graduated cylinder or any measuring device, but the rules for finding the most accurate measurement is the same. 

This scale is like the above one, except the labeled markings are 100 apart and there are no markings in between them. Let's say this scale is on a temperature scale. You could report the temperature as 1100 degrees because that's the closest mark; however, you are supposed to get more accuracy from this scale. Like before, visualize the gap between 1100 and 1200 being divided into 10 parts. So each part would be one tenth (1/10) of that distance between 1100 and 1200. To do that, one way is to estimate halfway (.5 of the distance). Since 1100 and 1200 are 100 apart, 0.5 of that 100 degrees is 50 degrees, so 1150 would align with the visualized mark 5/10 of the way across. The arrow is much less than that. You could then visual half of the distance between 1100 and our estimated halfway position of 1150. So that visualized mark is 0.25 of the whole increment of 100. The red arrow is little left of the 0.25 estimate, so we would call it two tenths (0.2) of the 100 degree increment between the 1100 and 1200 marks. So 0.2 of 100 is 20. So our arrow is reported as being at 1120 degrees.  
This scale is similar to the one above. The arrow appears to be about one tenth (0.1) of the distance from 130 to 140. That distance is 10. So one tenth of 10 is 1. So 131 would be the measurement that you would report.  
Principles for Using Measuring Tools Properly: Analytical Balances and other digital balances 

For a few hundred years, the analytical balance looked like the one in the picture. The item of unknown weight would be put on one of the pans, and small cylinders of known mass would be added to the other pan until it balanced. The small case on the bottom left held these small brass cylinders. It could take several minutes to weigh something. After balancing, you would have to add up the mass of all the little brass cylinders you used to balance the mass of the unknown item.  
Modern digital balances make weighing very easy. There's just one pan to place the item on. You don't need to have a box of known masses to balance out the weight of your unknown. The balancing is done automatically and internally. Plus readout is directly in grams with 3 or 4 decimal places. Also, a modern analytical balance is so sensitive that it comes with an enclosure to block any air currents. So you have to open a door or lid to place the object onto the weighing pan (also called balance pan). Analytical balances in most labs are capable of measuring to one thousandth of a gram or smaller. Let's say the digital display says "14.300". It would be a mistake to write that down as 14.3 grams because the analytical balance actually measured its mass to the nearest thousandth of a gram giving us 5 significant digits of accuracy. A $15 balance can measure 14.3grams, but it takes a $2,000 balance to measure 14.300grams. Going from 14.3g (3 significant digits) to 14.300g (5 significant figures) is increasing the accuracy 100 fold so don't drop these zeros.


Also, because the analytical balance is so sensitive, fingerprints can change the reading. So use a paper towel, gloves, or tongs to handle the object being weighed.  
Before placing an object onto the weighing pan, "tare" the balance by pressing the TARE button. Some balances use the symbol "O/T" (meaning zero or tare). The word "tare" is from Arabic "tarah" meaning to throw away. In essence by pressing the tare button, we are telling the balance to throw away any weight on the balance so we get a zero starting point. Roll cursor over image on the right to see the other balance. 

The portable digital balance in your kit has an accuracy of one hundredth of a gram, so it's not as sensitive to air currents, which is why there is no builtin enclosure. Since it runs off of batteries, you must turn it on first with the ON button. Wait for the "S" indicator shown on the LCD screen to indicate that the balance is stable. Then press the TARE button to set the reading to zero (if it's not reading zero). These portable balances measure in other units besides grams. They can weigh out in the following units:


Press the MODE button to change units to grams if not already there. Look for the small "g" at the top above the decimal point. The "S" in the upper left indicates that the digital balance is stable and ready for weighing.  
For all balances... DO NOT weigh chemicals directly on the weighing pan (use paper, weighing boat, or some kind of container). The chemicals can corrode the weighing pan or fall off and get behind buttons or other mechanisms. These are common sense type of warnings. Weighing paper not only protects the pan from corrosive chemicals, it also makes it easier to pick up the powder after it is weighed. Weighing paper has a smooth finish so that powder doesn't stick to it. Regular paper will work but not as well because it doesn't have as smooth a finish as laboratory weighing paper. Aluminum foil can also be used for chemicals that don't react with aluminum. A weighing boat is similar to weighing paper except it has a lip around it to keep powder from spilling off the edge. There are two reasons not to put hot objects on the balance pan. First, a hot item can damage the pan. Second, the air around the hot item warms up and then gets pushed up by the cooler room air. This causes air currents around the balance pan, which causes the readout to fluctuate. Even extra warm items will cause the electronics in the digital balance in your kit to read low. 

Principles of Length, Area, Volume, and Mass 

LENGTH: The great thing about the meter was that it could replace all of these other units for measuring distances. These other units were just a hodgepodge of ways that things got measured. Most people only know a few of these and cannot easily convert between one and the other. In metrics, the conversions are always a multiple of 10.  
If the meter stick is placed at a right angle, one can define a square that would be one square meter. This unit of area can replace the other ways of measuring areas such as square miles, square yards, and acres. You have heard the word "acre" but probably had no idea what the dimensions are. It's 208.7 feet by 208.7 feet. So that's why it's hard to remember the size. 

Using the meter to make a cube gives us a way to measure volume. This lets us get rid of all of these forms of volume measurements plus a dozen more not mentioned, such as drams, pecks, quarts, pints, fluid ounces, gallons, imperial gallons, and the list goes on. In other words, using a meter to define distance, area, and volume can eliminate the confusion of about 100 other English units of measurement most of which we have no idea what they mean. 

A cubic meter is a pretty large volume. Most things we buy aren't that large. How can we create a volume that is more convenient? In the metric system, we size things either 10 times larger or 10 times smaller. So let's divide the meter by 10. That is called a decimeter because deci means one tenth. Now if you make a cube that has a height, width, and depth of one decimeter, you create a cubic decimeter. That is a more convenient size, which is a little larger than a quart. Since this is a size we will use a lot, let's give the cubic decimeter a shorter name. The French called it Liter after the word, Litron, an older measure for capacity. In the English system, we have a barrel and a quart, one being a large volume and one being smaller. However, there is no easy conversion between the two. In Metrics, there are one thousand liters in a cubic meter. 

Now let us say we want a volume that is even smaller than the liter (cubic decimeter). Like before, we just make it 10 times smaller. So here we have zoomed in on the previous cubic decimeter. To make a smaller volume we just divide a decimeter by 10. That gives us a centimeter which means it is 1/100 of a meter. To make a cubic centimeter, we just make a cube that measures one centimeter on each side. 

How many cubic centimeters in a cubic decimeter? At first you might say 10 because a centimeter is 10 times smaller than a decimeter; however, a cubic centimeter is 10 times smaller in three directions (height, width, and depth). That makes it 10x10x10 or 1,000 times smaller. You can see that it takes 10 cubic centimeters to go across the front of the cubic decimeter. You would have to have 10 layers of those cubes to fill up the front. That makes 100. Then you would have to go 10 layers deep. That makes 1000.  
Remember that a cubic decimeter is the same as a liter? The cubic centimeter that we make here is one thousandth (1/1000) the size of a cubic decimeter, and also one thousandth the size of a liter. In metrics, the prefix that means one thousandth is "milli". So a milliliter is the same size as a cubic centimeter. In medical professions they often call a cubic centimeter simply "cc" and several cubic centimeters as cc's. The milliliter is an alternative name and more commonly used in chemistry.


If a cubic centimeter (milliliter) was filled with something, that could make a standardized weight. The Metric System wants items that are readily available to everyone. The Earth was the first one and fingers (decimals) the second. Dan Fahrenheit and Anders Celsius had already used water to standardize a way to measure temperature. So water combined with the meter was going to standardize weight. The weight of water that fills a cubic centimeter (milliliter) was to be the standard for weight and it was called a gram, a Latin word meaning "a small weight." Since it takes 1,000 cubic centimeters to make a cubic decimeter (a liter), a liter of water weighs one thousand grams. The prefix "kilo" means one thousand, so a liter of water weighs one kilogram. A kilogram was easier to measure more accurately than a gram, so it became the standard for measurement. 

Principles of Calculating Volume Using Geometry 

A. Rectangular objects. For a rectangular object, when you multiply by length (L) and width (W), you get the area of the top (or bottom) of the object. For example, here we have a length and width of 5 and 4 centimeters, which gives us the area of 20 square centimeters (cm^{2}). If the height was one centimeter, each of those square centimeters are considered cubic centimeters giving us a volume of 20 cubic centimeters (cm^{3} or cc). If the height were 4 centimeters, then there would be 4 layers of 20 cm^{3} each. So by multiplying by the height, we get the total number of cubic centimeters of 80 cm^{3}. 

V=πr²H 
B. Cylindrical objects. For cylindrical objects, the formula for the volume is V=pi x radius squared x height (V=πr²H). πr² is the area of a circle. Multiplying area of the circular top (or bottom) by height (H) gives you the volume of a cylinder. For example, these beakers have no markings to show their volume. You could measure across the base to find the diameter. Divide the diameter by 2 to get radius. You would then measure the height of the beakers up to their spout. If your measurements are all in centimeters, then your answer will be in cubic centimeters (milliliters). 
C. Spherical objects. The formula for the volume of a sphere is V=^{4}/_{3}πr³. These beads are made of sodium polyacrylate (a polymer), which absorbs about 300 times its own weight in water. They started out as tiny beads when dry but then grew much larger when soaked in water. The same material is used in diapers to keep the baby dry. To get radius, it's usually easier to measure diameter and then divide by 2. 

D. Conical objects. The formula for the volume of a cone is V=^{1}/_{3}πr²H. To find the volume of these snow cones, you would measure the height of the paper cone and the radius of the top of the cone. Then use the above formula. To find the volume of the snowcone that rises above the top of the paper cone, you would use the radius with the sphere formula. Then divide the sphere volume by 2. Or you could just eat the cone and not have any volume left to measure. 

E. Irregularlyshaped objects. You can't use geometry to find the volume of an irregularly shaped objects (like a key). The trick to doing this was discovered by Greek scientist Archimedes over 2,000 years ago. He realized that an object submerged under water will displace a volume of water equal to the volume of the object. For example, let's say you wanted to know if this key was really made of gold. You first have to find its volume. So first measure the volume of water in a container without the key. When the key is submerged in the water, the volume of water will increase by an amount equal to the volume of the object. So if the volume increased by 5.5 milliliters, then the key's volume is 5.5 milliliters. It's a simple concept but was quite a revelation at the time. 