## Conversion Factors

A conversion element is a ratio that specifies how one unit of measure is connected to an additional unit that measurement. Chemists often need to transform the worth from one unit to an additional unit. Once the equalities space written together a ratio, it becomes a counter factor.

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To convert the measured number indigenous one unit to one more unit we always take the following path1)First we specify the given quantity v number and also unit and needed unit.2)Then we set up the conversion aspect as a ratio to convert from one unit to one more unit. This conversion determinants are measure or specific number depending on the quantity. Always the desire unit is top top the top and also the unit to be cancelled is created as denominator in the ratio.3)We multiply the the provided quantity by the suitable conversion factor and also find the brand-new value through the target unit.

1 min= 60 sec ……………………………………………this one equality

1 min or 60 sec these two quantities are same. ………………….this is conversion factor

60 sec 1 min

There space two sets of conversion element for every relationship.

Conversion aspect can be provided within a system of units or in between different units of system.

Case1: Conversion aspect can be provided within a device of units or between different systems of system. (defined relationship)

Example problem: A lab test proved an individual’s cholesterol level to it is in 186 mg/dL. Transform this quantity right into g/dL

given 1g= 1000mg In bespeak to acquire metric to metric counter factor, the an interpretation of metric prefixes and their values need to be known.

For an ext information watch: How perform you use ladder method?

 1st – determine your starting point.2nd – counting the “jumps” to your ending point.3rd – move the decimal the same number of jumps in the very same direction.

Example: 4km =__________m

↑start ↑End Write the abbreviation of adhering to Metric Conversions:

1) Kilogram _____ 4) Milliliter _____ 7) kilometer _____

2) Meter _____ 5) Millimeter _____ 8) Centimeter _____

3) Gram _____ 6) Liter _____ 9) Milligram _____

Try these conversions, using the ladder method.

10) 2000 mg = _______ g 15) 5 l = _______ mL 20) 16 centimeter = _______ mm

11) 104 km = _______ m 16) 198 g = _______ kg 21) 2500 m = _______ km

12) 480 cm = _____ m 17) 75 mL = _____ l 22) 65 g = _____ mg

13) 5.6 kg = _____ g 18) 50 cm = _____ m 23) 6.3 centimeter = _____ mm

14) 8 mm = _____ centimeter 19) 5.6 m = _____ centimeter 24) 120 mg = _____ g

Compare utilizing , or =.

56 cm 6 m

7 g 698 mg

5 g 508 mg

1,500 mL 1.5 L

536 centimeter 53.6 dm

43 mg 5 g

3.6 m 36 cm

https://www.metric-conversions.org/ Questions:

Convert each of the adhering to measurements right into meters?5 × 103 mm25 μm

Ans: a. 2.5 m, b. 25E-6 m

Case 2: Metric come English conversion factors are mentioned with various number of far-reaching figures. (measured relationship). They are dubbed equalities. Because that example: 1 mile= 1.61 km. Mile is the English unit and also kilometer (km) in the metric unit.

Example #1 : Capillaries, the microscopic vessels that carry the blood from small arteries to tiny veins, are on the median only 0.1cm long. What is the average length of a capillary in inches?

Given 1 inch= 2.54 cm

0.1 cm × 1 customs = 0.0393 in= 0.04 in ( shortest 1 sig fig used in calc)2.54 cmHere is the table of most common metric come metric and metric to English counter factors:

Example #2: convert 10.8 ft to meters

Given the 12 in = 1ft, 2.54 cm= 1 inch and also 100 cm = 1meter

Pathway: ft * 12 in * 2.54 centimeter * 1 m = meter 1 ft 1 in 100 cm

Now plug in the numbers in tis problem:

10.8 ft * 12 in * 2.54 centimeter * 1m = 3.28 m ( ans) 1ft * 1 in * 100cm

Example#3: transform 58.8 lbs to kg.

See more: What Are The Factor Pairs Of 30, Factors Of 30 In Pairs

Given : 58.8 lbs, necessary kg. Counter factor: 2.205 lbs= 1 kg

pathway: lbs * 1kg 2.205lbs

now use the values offered in the problem,

58.8 lbs * 1 kg  = 26.7 kg

2.205

Below is the table with typical English come metric equalities.   