DIMENSIONAL ANALYSIS

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DIMENSIONAL ANALYSIS:

                                                It deals with the dimensions of physical quantities involved in the phenomena.

THERE ARE TWO TYPES OF UNITS / QUANTITIES :

                                                    

                                                        PRIMARY UNITS/FUNDAMENTAL UNITS

                                                       SECONDARY UNITS/DERIVED UNITS

  PRIMARY UNITS:

                                Those units which exists alone  .

                                There are seven types of primary units as given below:

• NAME  -- DIMENSION--UNITS
• Mass  --M(mass)--kg
• Length --L(length)--m
• Time --T(time)--sec
• Temperature  --Ө(theta)--Kelvin
• Number of moles  --n
• Intensity of light --Candela
• Current --I--Ampere

  SECONDARY  UNITS:

                                        Those units which are derived using primary units or fundamental units.

                                    Some of eg of secondary units are discussed below:

Force  :  M¹L¹T^-2 

                    as we know    

  Force = mass *acceleration

            =M*a

            =M*(L*T^-2 )

Dimensional Analysis (which is also called Factor-Label Method or the Unit Factor Method) is a problem-solving method which uses this fact that any number or expression can be multiplied by one without changing its value. It is very useful technique. The only danger is in is that you may end up thinking that chemistry is simply a math problem - but which it definitely is not.

Unit factors may also be made from any two terms which describe the same and equivalent "amounts" of what we are interested in.

OTHER IMPORTANT POINTS TO BE REMEMBERED:

• Dimensional analysis process is a process of converting between units.
• The International System of Units (SI) specifies a set of seven (7) base units from which all other units of measurement have been formed. Derived units are also based on those seven (7) base units.
• Unit analysis is a form of proportional reasoning where the given measurement can be multiplied by a known proportion and ratio to give a result having different unit and dimension.
• Dimensional analysis involves  the use of conversion factors, which are the ratios of related physical quantities expressed in the desired units.

Frequently Asked Questions (FAQs):

Question1:	How many millimeters are present in 20.0 inches?
Question2:	The volume of a wooden block is 6.30 in3. This is equivalent to how many cubic centimeters?
Question3:	A sample of calcium nitrate, Ca(NO3)2, with a formula weight of 164 g/mol, has 5.00 x 1027 atoms of oxygen. How many kilograms of Ca(NO3)2 are present?

Answers: (1) 508 mm (2) 103 cm³ (3) 227 kg

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