Lab: Accuracy and Precision Introduction: The accuracy of your measurements and the precision of your measuring instruments both play an important part in your ability to get the best results during a laboratory experiment. In this lab, we will explore the precision of several pieces of lab equipment, and you will determine your own ability to be accurate when measuring. Materials: Electronic balance Buret setup 50 mL Beaker Tap water 50 mL Graduated cylinder Distilled water Procedure 1: At the stock table you will find a display of several graduated cylinders filled with different amounts of colored water and other solutions. Read each graduated cylinder and fill in your answers in data table below. Graduated cylinder Color of the liquid To what unit does the smallest scale mark read? (1’s place, .1’s place, etc) Your reading (mL) 1 2 3 Procedure 2: 1. At your lab station, clean and wipe dry your 50 mL graduated cylinder and your 50 mL beaker. 2. Weigh (separately) the graduated cylinder and the beaker. Record the masses. 3. Using the graduated cylinder, fill the 50 mL graduated cylinder so that the meniscus lines up with the 25 mL mark. Make sure you have EXACTLY 25 mL of water in your cylinder. 4. Using the beaker, fill the beaker up to the 25 mL mark. Make sure you have EXACTLY 25 mL in your beaker. 5. Weigh (separately) both the filled graduated cylinder and the filled beaker. Record the masses. 6. Determine the mass of water in the graduated cylinder and the beaker. 7. Repeat steps 1-6 two more times. 8. Fill out the Data Table below and be sure to include units for EVERY measurement. Graduated Cylinder (include units) Trials 1 2 3 Mass of empty cylinder (g) Mass of filled cylinder (g) Mass of water (g) Volume of water (mL) 1. What is the average mass of the 25 mL’s of water in your cylinder? ______________ (average the Mass of water from the data table above) Because the density of water is 1 gram for every 1 mL, a 1-1 mass-volume equivalence can be found from the weighed water. For example, 50.0 g of water would be equivalent to 50.0 mL of water. (Caution: this one-to-one ratio only works for WATER.) 2. Using your answer from question 1, what is the actual volume of the 25 mL’s of water in your cylinder? __________________ Beaker (include units) Trials Mass of empty beaker (g) Mass of filled beaker (g) Mass of water (g) Volume of water (mL) 1 2 3 3. What is the average mass of the 25 mL’s of water in your beaker? ______________ (average the Mass of water from the data table above) Because the density of water is 1 gram for every 1 mL, a 1-1 mass-volume equivalence can be found from the weighed water. For example, 50.0 g of water would be equivalent to 50.0 mL of water. (Caution: this one-to-one ratio only works for WATER.) 4. Using the answer from question 3, what is the actual volume of the 25 mL’s of water in your beaker? __________________ Procedure 3: 1. 2. 3. 4. 5. 6. 7. 8. Fill the buret to a point somewhat below the zero mark (between 0.00 and 1.00) with distilled water. Record the initial volume. Clean and wipe dry a 50 mL beaker. Record the mass of the beaker. Place the beaker under the stopcock of the buret and dispense the water into the beaker until approximately 25 mL of water has been dispensed. YOU MUST BE WATCHING the buret level drop to measure the 25 mL. DO NOT judge the 25 mL by looking at the beaker! Record the final volume. Reweigh the beaker and determine the mass of the water transferred. Repeat this procedure one more time. Fill out the data table below and be sure to include units for EVERY measurement. Buret (include units) Trial Initial buret reading (mL) Final buret reading (mL) Buret Volume (mL) (F – I) (expt. Volume) Mass of beaker (g) Mass of beaker and water (g) Mass of water (g) (actual volume) 1 2 Actual vs. Experimental data When you filled your graduated cylinder and your beaker to the 25 mL mark, you observed this to be “exactly” 25 mL. This is your experimental data. Using a balance to calculate the mass and volume of the water gives you the actual or most accurate and accepted value for the mass and volume of the water because you used a tool much more precise than your eyes. Using this data, you can calculate the percent error of the beaker and of the graduated cylinder. Percent error Calculations Formula: Accepted (actual) value – experimental value x 100 Accepted value **Notice that the numerator is inside absolute value bars. Calculations: 1. Based on the information above and using your answer from question #2 as the accepted value and 25 mL as the experimental value, calculate the percent error for your graduated cylinder. (show your work for credit) 2. Based on the information above and using your answer from question #4 as the accepted value and 25 mL as the experimental value, calculate the percent error for your beaker. (show your work for credit) 3. Calculate the percent error for the each buret trial using the buret volume as your experimental value and the mass of the water as your accepted value. (show your work for credit) Trial 1: Trial 2: Analysis Questions: 1. Put your percent error for the beaker on the board with the rest of the class data. Find an average percent error for the beaker. _______________ 2. Put your percent error for the graduated cylinder on the board with the rest of the class data. Find an average percent error for the graduated cylinder. ________________ 3. Put your percent error for the buret on the board with the rest of the class data. Find an average percent error for the buret. _________________ 4. How does the way a piece of glassware is divided into scale marks (the glassware’s precision) affect the accuracy of your answers? Compare the beaker’s markings, the graduated cylinder’s markings, and the buret’s markings. 5. Compare the RANGE of your answers for each piece of glassware in the table below (find the greatest difference between your experimental and actual numbers). Beaker range (Accepted – Expt.) Graduated cylinder range (Accepted – Expt.) Buret range (Accepted – Expt.) 6. The range of your answers tells us about the precision of your measuring instrument (glassware, in this case!) A small range means good precision. Which piece of equipment gave you the most precise answers? JUSTIFY your answer with an explanation. 7. When measuring liquids in the lab, explain which piece of equipment will help you to get the most accurate and precise answers (and therefore make your lab come out better!): the graduated cylinder, or the beaker?