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Calibration, Percent Error, Density & Temperature

Calibration, Percent Error, Density & Temperature. Mr. Shields Regents Chemistry U00 L04. Common Volume Measurement Devices. Capacity. What’s the calibration. What is Calibration?. The calibration of a measuring device is the distance between the two closest lines. source.

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Calibration, Percent Error, Density & Temperature

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  1. Calibration, Percent Error, Density & Temperature Mr. Shields Regents Chemistry U00 L04

  2. Common Volume Measurement Devices Capacity

  3. What’s the calibration What is Calibration? The calibration of a measuring device is the distance between the two closest lines.

  4. source Capacity = ? Calibration = ? 100 ml 1 ml source

  5. Calibration If the calibration on a scale is 0.1g we can determine the mass of something to at least that level of accuracy. For example 219.4g But we can do better than that! We can also estimate one digit greater than that. For example we could measure 219.43g. The “3” is the estimated value. Note that Zero can be an estimated value as well as the numbers 1-9.

  6. 67.4 ml Estimated value source Calibration = ? 1 ml source

  7. Capacity = ? Calibration = ? 10 ml 0.2 ml Reading? 8.80 ml. The zero is our estimated Value. It is significant and can not Ignored.

  8. What’s the calibration? Meter Stick source On this meter stick, the closest lines are 1 millimeter or 0.001 meter apart.

  9. What’s the calibration? 0.1 gram What can we estimate to? 0.01 gram Triple beam balance What’s the reading? 373.35 g source

  10. This is part of a buret. Note… The numbers increase downward, so you read top to bottom. What’s The calibration? What’s the reading? 0.1 ml source 21.35 ml

  11. PERCENT ERROR Now Let’s look at at a set of experimental B.P. Data collected by two students: Student 1Student 2 76.5 deg C 78.0 degC 76.1 78.4 76.6 77.9 76.9 78.2 76.5 AVG 78.1 AVG The Accepted B.P. for this unk. is 77.2 deg C. Which set of data is more precise & which set Of data is more accurate?

  12. Percent Error The data for student 1 “looks” better but how much better was that data than student 2’s data? To make this comparison we need to look at the % error for each student’s set of data Formula for % ERROR: Experimental Value – Accepted Value x 100 Accepted Value

  13. Problem: If student 1’s Exp. Value was 76.5 and the Accepted value Is 77.2 what is her experimental error? Student 1: 76.5 - 77.2 x 100. = - 0.907% Error 77.2 Student 2: 78.1 - 77.2 x 100. = 1.17% Error 77.2 NOTE: ONLY THE SIZE OF THE ERROR IS IMPORTANT. IGNOR PLUS (+) AND MINUS (-) SIGNS. So which student has the more accurate data? Yep … Student 1

  14. Density • Density (d) is the ratio of the mass (m) of a substance to its volume (V). density = mass / volume The most common units of density are grams per cubic centimeter (g/cm3) or grams per milliliter (g/mL). d = m / V Remember … 1 cm3 = 1 milliliter

  15. Density & Temperature • How does temperature affect density? • Increasing Temperature DECREASES density •       i.      Volume increases with increasing Temperature • - Why? •    ii.      Mass stays constant, right? •     iii.      Since D=m/v D must decrease. Why? - SO DENSITY DEC. WITH INC. TEMPERATURE for SOLIDS, LIQUIDS OR GAS

  16. Density and Pressure • How does Pressure affect density? -Solids and liquids are not affected by pressure - Volume remains constant - No change in Density • What happens to gases when pressure is increased? • Volume decreases but mass remains constant • Since D= m/v D must be increasing - SO For Gases DENSITY INC. with INC. PRESSURE (Can you Explain what happens when pressure decreases?)

  17. Water is peculiar in that it’s volume increases as it goes from liquid At 4 deg To solid at zero. This is opposite to how most materials behave. D = M/V D E N S I T Y As V increases D decreases So ice floats on water

  18. What is temperature? - How warm or cold something is - But what does this mean? - Molecules are in constant motion - Being in motion they have Kinetic Energy (K.E.= ½ mv2) - As they collide with thermometer they impart their KE to it - That’s why we feel “warm” or “cold - The thermometer molecules begin to move faster & they impart Their energy to the material inside which warms and expands (or cools and contracts). We read this change on the scale. - So Temperature is a measure of average kinetic energy!

  19. Temperature Scales Fahrenheit (F) - FP is set at 32 and BP is set at 212 Celcius (C) - FP is set at 0 and BP is set at 100 Kelvin (K) - Absolute Zero is the zero point; FP is then 273.15 One degree on the Celcius scale is exactly equal to 1 degree on the Kelvin scale One degree on the Fahrenheit scale is equal to 1.8 degrees on the Centigrade and Kelvin scale

  20. Conversion formulas How can we convert from one temperature scale to another? K = C + 273 (more precisely 273.15) C = K – 273 Know These !

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