Dimensional Analysis PDF

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Marist School Marikina

Shellah Marie C. Tabayoyong

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dimensional analysis unit conversion chemistry measurement

Summary

These notes provide an overview of dimensional analysis, focusing on unit conversions in chemistry. Several examples are shown, covering conversions between different units for quantities like mass, length and time.

Full Transcript

SHS STEM CHEM MEASUREMENT_Part II Ms. Shellah Marie C. Tabayoyong SHS STEM Chemistry Teacher Marist School, Marikina Task for the Week (Sept 2-6): SPL Task 1.3: Dimensional Analysis Team IPC 1.3: Measurement (Individual) LW 1.1: Post Laboratory Paper...

SHS STEM CHEM MEASUREMENT_Part II Ms. Shellah Marie C. Tabayoyong SHS STEM Chemistry Teacher Marist School, Marikina Task for the Week (Sept 2-6): SPL Task 1.3: Dimensional Analysis Team IPC 1.3: Measurement (Individual) LW 1.1: Post Laboratory Paper (BJR only) Major PT 1.1: Topic Pitch LT 1.1: Fundamentals of Chemistry *Bring YELLOW PAD and Scientific Calculator WHAT’S IN STORE FOR NEXT WEEK ? (SEPT 9-13) TOPIC: Atoms, Molecules, Ions TASKS ➔SPL 1.4: Atoms, Molecules, Ions ➔ IPC 1.4: Atoms, Molecules, Ions ➔ LW1.2: Density of Solids & Liquids ➔ LT 1.2: Measurement Scientists used a tool called DIMENSIONAL ANALYSIS (Factor-label Method) to convert numbers and units in an organized fashion. Units & Conversion Factors in Calculations The MAIN GOAL in conversion: THE CHOSEN CONVERSION FACTOR CANCELS ALL UNITS EXCEPT THOSE REQUIRED FOR THE ANSWER. ᐩ Set up the calculation so that the unit you are converting from (beginning unit) is in the opposite position in the conversion factor (numerator/denominator). ᐩ It will then cancel and leave the unit you are converting to (final unit) All measured quantities consists of a NUMBER & a UNIT. CONVERSION FACTORS Ex. Ratios used to express a measured Express the distance of 150-mile car trip quantity in different units. in feet. Desired conversion factor: 5280 ft / 1 mile ᐩ Choosing the CORRECT conversion factor is made easier if you think through the 150 mile (5280 ft / 1 mile) = 792000 ft calculation to decide whether the answer expressed in the new units should have a = 790000 ft. larger or smaller number. Unit Conversion & Dimensional Analysis ◻ Dimensional Analysis - the method of treating the units as algebraic quantities, which can be cancelled ◻ Conversion Factor - a multiplier equal to 1 1 kg = 1000 g Unit Conversion & Dimensional Analysis ◻ There 3 ways unit conversion using dimensional analysis in measurement: 1) SI to SI unit conversion 2) English to English unit conversion 3) SI to English unit conversion or vice versa Convert the following (SI to SI units): ❑ 1.34 kg of iron ore to grams ❑ 43 km/h to m/s Convert the following (SI to SI units): ❑ 1.34 kg of iron ore to grams ❑ 43 km/h to m/s Convert the following (English to English units): ❑ 5 miles/hr to ft/s 1 mile = 5280 feet and 1 hour = 3600 seconds ❑ 3.5 ft to in. 1 foot = 12 inches Convert the following (English to English units): ❑ 5.0 miles/hr to ft/s 1 mile = 5280 feet and 1 hour = 3600 seconds 5.0 mi 5280 ft 1 hour = 7.33 ft/s = 7.3 ft/s 1 mile 3600 s hr ❑ 3.5 ft to in. 1 foot = 12 inches 3.5 ft 12 in = 42 in. 1 ft Convert the following (English to SI units): ❑ 12 fluid ounces to milliliters 1 fluid ounce = 29.5735 mL Convert the following (English to SI units): ❑ 12 fluid ounces to milliliters 1 fluid ounce = 29.5735 mL 12 fl.oz. 29.5735 mL = 354.882 mL = 350 mL 1 fl.oz Convert the following (English to SI units): ❑ 12 fluid ounces to milliliters 1 fluid ounce = 29.5735 mL 12 fl.oz. 29.5735 mL = 354.882 mL = 350 mL 1 fl.oz Yo u rea are d n ex add y to ow e i d ou rcis tiona o r IP s e l C s dur Se e y essio ing ou n. !

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