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Md. Faysal Ahamed Khan Lecture 3 Welcome to the class of  Chemistry I Course No. CHEM 211 Credit hours 3
Scientific Measurements and Units All measurements contain two essential pieces of information: a number (the  quantitative  piece) a unit (the  qualitative  piece) A measurement is useless without its units The number 60 is somewhat meaningless without units. Consider this for one’s wages: $ per week $ per hour
Measurement All measurements have three parts: 1.   A value 26.976 2   g 2.  Units 3.   An Uncertainty Examples:   33.2 mL 72.36 mm 426 kg 31 people
Systems of Units - Standards of Measurement Imperial system English units imperial units U. S. Customary  Units Metric system SI system Foot-pound-second systems Metre and gram Metre –kilogram-second system
[object Object],[object Object]
Units of Measurement – SI Units ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Units of Measurement – SI Units
Common SI Prefixes
A Problem-Solving Method Chemistry problems usually require calculations, and yield  quantitative  (numerical) answers For example, 1 inch  = 2.54 cm The unit-conversion method is useful for solving most chemistry problems – the focus here is on “unit equivalents”
Dimensional Analysis – Factor Label Method ,[object Object],[object Object],[object Object],[object Object]
Other Equivalents and Conversion Factors A conversion factor is the fractional expression of the equivalents
Dimensional Analysis Example:  we want to convert the distance 8 in. to feet.  (12in = 1 ft) Problem Convert the quantity from 2.3 x 10 -8  cm to nanometers (nm) First we will need to determine the conversion factors Centimeter (cm)    Meter (m) Meter (m)    Nanometer (nm) Or 1 cm = 0.01 m 1 x 10 -9  m = 1 nm
Dimensional Analysis Problem Convert the quantity from 2.3 x 10 -8  cm to nanometers (nm) 1 cm = 0.01 m 1 x 10 -9  m = 1 nm Now, we need to setup the equation where the cm cancels and nm is left. Now, fill-in the value that corresponds with the unit and solve the equation.
Problem Convert the quantity from 31,820 mi 2  to square meters (m 2 ) First we will need to determine the conversion factors Mile (mi)    kilometer (km) kilometer (km)    meter (m)
Problem Convert the quantity from 31,820 mi 2  to square meters (m 2 ) First we will need to determine the conversion factors Mile (mi)    kilometer (km), kilometer (km)    meter (km) Or 1 mile = 1.6093km, 1000m = 1 km Notice, that the units do not cancel, each conversion factor must be “squared”.
Problem Convert the quantity from 31,820 mi 2  to square meters (m 2 )
Problem Convert the quantity from 14 m/s to miles per hour (mi/hr). Determine the conversion factors Meter (m)    Kilometer (km) Kilometer(km)    Mile(mi) Seconds (s)    Minutes (min) Minutes(min)     Hours (hr) Or 1 mile = 1.6093 km 1000m = 1 km 60 sec = 1 min 60 min = 1 hr
Problem Convert the quantity from 14 m/s to miles per hour (mi/hr). 1 mile = 1.6093 km 1000m = 1 km 60 sec = 1 min 60 min = 1 hr
Dimensional  Analysis How many mL are in 3.0 ft 3 ? 1 ft = 12 in 1 in = 2.54 cm 1 cm 3  = 1 mL (3.0 ft 3 )( 12 in )( 12 in )( 12 in) ( 2.54 cm )( 2.54 cm )( 2.54 cm )( 1 mL )   (1 ft)  (1 ft)  (1 ft)  (1 in)  (1 in)   (1 in)  (1 cm 3 ) = 8.5 x 10 4   mL How many ns are in 23.8 s? (23.8 s)( 10 9  ns ) (1 s)   = 23.8 x 10 9  ns = 2.38 x 10 10  ns
Mass and Weight Mass:  the measure of the quantity or amount of  matter in an object.  The mass of an object does not change as Its position changes. Weight:  A measure of the gravitational  attraction  of the earth for an object.  The weight of an object changes with its distance from the center of the earth. Sample Calculations Involving Masses How many mg are in 2.56 kg? (2.56 kg)(10 3  g)(10 6 mg)   (1 kg)  ( 1 g) =  2.56 x 10 9  mg
[object Object],[object Object],[object Object],[object Object],[object Object],Volume Sample Calculations Involving Volumes How many mL are in 3.456 L? (3.456 L)( 1000 mL )   L =  3456 mL How many ML are in 23.7 cm 3 ? (23.7 cm 3 )(  1 mL  )(   1 L_  _ )( 10 6  ML)     (1 cm 3 )(1000 mL)(  1L ) =  2.37 x 10  4  ML =  23 700 ML
Density Density -  The mass of a unit volume of a material. density = mass/volume ,[object Object],[object Object],volume = [2.4 cm x 2.4 cm x 2.4 cm] density = (9.57 g)/(13. 8   cm 3 ) = 0.69 g/cm 3   = 0.69 g/mL Note that 1 cm 3  = 1 mL
Temperature
Temperature ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Converting between Celsius and Fahrenheit
Sample Calculations Involving Temperatures Convert 73.6 o F to Celsius and Kelvin temperatures. o C = (5/9)(73.6 o F - 32) = (5/9)(41.6) o C = (5/9)( o F - 32) K =  o C  +  273.15 =  23.1 o C K = 23.1 o C  +  273.15 =  296.3 K Memorize
[object Object],[object Object],[object Object],Uncertainty in Measurement
Precision and Accuracy in Measurements ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Uncertainty in Measurement Precision and Accuracy
Precision and Accuracy Uncertainty in Measurement
Uncertainty in Measurement ,[object Object],[object Object],[object Object],[object Object],[object Object],Significant Figures
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Rules for Zeros in  Significant  Figures Uncertainty in Measurement
[object Object],[object Object],[object Object],[object Object],[object Object],Uncertainty in Measurement
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Rounding rules Uncertainty in Measurement
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Significant Figures Uncertainty in Measurement
Addition and Subtraction:  the reported results should have the same number of decimal places as the number with the  fewest  decimal places NOTE - Be cautious of round-off errors in multi-step problems.  Wait until calculating the final answer before rounding. Uncertainty in Measurement
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Significant Figures Uncertainty in Measurement

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Lecture 3&4

  • 1. Md. Faysal Ahamed Khan Lecture 3 Welcome to the class of Chemistry I Course No. CHEM 211 Credit hours 3
  • 2. Scientific Measurements and Units All measurements contain two essential pieces of information: a number (the quantitative piece) a unit (the qualitative piece) A measurement is useless without its units The number 60 is somewhat meaningless without units. Consider this for one’s wages: $ per week $ per hour
  • 3. Measurement All measurements have three parts: 1. A value 26.976 2 g 2. Units 3. An Uncertainty Examples: 33.2 mL 72.36 mm 426 kg 31 people
  • 4. Systems of Units - Standards of Measurement Imperial system English units imperial units U. S. Customary Units Metric system SI system Foot-pound-second systems Metre and gram Metre –kilogram-second system
  • 5.
  • 6.
  • 7. Units of Measurement – SI Units
  • 9. A Problem-Solving Method Chemistry problems usually require calculations, and yield quantitative (numerical) answers For example, 1 inch = 2.54 cm The unit-conversion method is useful for solving most chemistry problems – the focus here is on “unit equivalents”
  • 10.
  • 11. Other Equivalents and Conversion Factors A conversion factor is the fractional expression of the equivalents
  • 12. Dimensional Analysis Example: we want to convert the distance 8 in. to feet. (12in = 1 ft) Problem Convert the quantity from 2.3 x 10 -8 cm to nanometers (nm) First we will need to determine the conversion factors Centimeter (cm)  Meter (m) Meter (m)  Nanometer (nm) Or 1 cm = 0.01 m 1 x 10 -9 m = 1 nm
  • 13. Dimensional Analysis Problem Convert the quantity from 2.3 x 10 -8 cm to nanometers (nm) 1 cm = 0.01 m 1 x 10 -9 m = 1 nm Now, we need to setup the equation where the cm cancels and nm is left. Now, fill-in the value that corresponds with the unit and solve the equation.
  • 14. Problem Convert the quantity from 31,820 mi 2 to square meters (m 2 ) First we will need to determine the conversion factors Mile (mi)  kilometer (km) kilometer (km)  meter (m)
  • 15. Problem Convert the quantity from 31,820 mi 2 to square meters (m 2 ) First we will need to determine the conversion factors Mile (mi)  kilometer (km), kilometer (km)  meter (km) Or 1 mile = 1.6093km, 1000m = 1 km Notice, that the units do not cancel, each conversion factor must be “squared”.
  • 16. Problem Convert the quantity from 31,820 mi 2 to square meters (m 2 )
  • 17. Problem Convert the quantity from 14 m/s to miles per hour (mi/hr). Determine the conversion factors Meter (m)  Kilometer (km) Kilometer(km)  Mile(mi) Seconds (s)  Minutes (min) Minutes(min)  Hours (hr) Or 1 mile = 1.6093 km 1000m = 1 km 60 sec = 1 min 60 min = 1 hr
  • 18. Problem Convert the quantity from 14 m/s to miles per hour (mi/hr). 1 mile = 1.6093 km 1000m = 1 km 60 sec = 1 min 60 min = 1 hr
  • 19. Dimensional Analysis How many mL are in 3.0 ft 3 ? 1 ft = 12 in 1 in = 2.54 cm 1 cm 3 = 1 mL (3.0 ft 3 )( 12 in )( 12 in )( 12 in) ( 2.54 cm )( 2.54 cm )( 2.54 cm )( 1 mL ) (1 ft) (1 ft) (1 ft) (1 in) (1 in) (1 in) (1 cm 3 ) = 8.5 x 10 4 mL How many ns are in 23.8 s? (23.8 s)( 10 9 ns ) (1 s) = 23.8 x 10 9 ns = 2.38 x 10 10 ns
  • 20. Mass and Weight Mass: the measure of the quantity or amount of matter in an object. The mass of an object does not change as Its position changes. Weight: A measure of the gravitational attraction of the earth for an object. The weight of an object changes with its distance from the center of the earth. Sample Calculations Involving Masses How many mg are in 2.56 kg? (2.56 kg)(10 3 g)(10 6 mg) (1 kg) ( 1 g) = 2.56 x 10 9 mg
  • 21.
  • 22.
  • 24.
  • 25. Sample Calculations Involving Temperatures Convert 73.6 o F to Celsius and Kelvin temperatures. o C = (5/9)(73.6 o F - 32) = (5/9)(41.6) o C = (5/9)( o F - 32) K = o C + 273.15 = 23.1 o C K = 23.1 o C + 273.15 = 296.3 K Memorize
  • 26.
  • 27.
  • 28.
  • 29. Precision and Accuracy Uncertainty in Measurement
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35. Addition and Subtraction: the reported results should have the same number of decimal places as the number with the fewest decimal places NOTE - Be cautious of round-off errors in multi-step problems. Wait until calculating the final answer before rounding. Uncertainty in Measurement
  • 36.

Notas do Editor

  1. This is the out look of my presentation. Start of the lecture: Good Morning students. This is …….from Bangladesh. I will be teaching Chemistry I to you for this semester. Why do you think you have to study Chemistry? ………………………………………………………………………………………………………………………………………………………… .. Now, What is Chemistry?