Welcome to Chem Zipper.com......

Search This Blog

Tuesday, May 21, 2019

ATOMIC MASS AND MOLECULAR MASS:


ATOM AND MOLECULES:
Atom: Atom is the ultimate electrically neutral, made up of fundamental particle (Electron, neutron, Proton) which shows the characteristic properties of the element and exist freely in a chemical reaction.
Molecules: A molecule is the smallest particle made up of one or more than one atom in a definite ratio having stable and independent existence e.g.H2 ,O2 He HCl , CaCO3 etc. 
(1) Atomic Mass: As atoms are very tiny particles, their absolute masses are difficult to measure. However it is possible to determine the relative masses of different atoms if small unit of mass is taken as standard there is three conventions given as.
(1) This standard was mass of one atom of hydrogen and taken as unity.
(2)  And also mass of one atom is 1/16th part of oxygen atom
(3) And now mass of one atom is 1/12th part of C-12 atom.
The atomic mass of an element can be defined as the number which indicates how many times the mass of one atom of the element is heavier in comparison to the mass of one atom of hydrogen.
(2) Atomic Mass Unit:
(1) The quantity 1/12Th mass of an atom of carbon-12 is known as the atomic mass unit and is abbreviated as amu.
(2) The actual mass of one atom of carbon-12 is –
Determination of atomic mass:
(1)  Applying Dulong and Petit’s law.
(2)  Cannizzaro’s methods
(3)  By mitscherlich’s law of isomorphism.
(4)  By measurement of V.D. of volatile chloride or bromide.
(1) Dulong & Petits Law: The product of specific heat of pure element and atomic mass of the element is equal to 6.4.
NOTE:
(1) But this law is not applicable to lighter element like boron, carbon, silicon. To obtain correct atomic mass of element first of all equivalent mass of the element is known by any other method and their atomic mass = eq. weight ´ valency
(2) In which valency has whole number value which can be deduced by dividing approximate by equivalent mass.  Dulongs and Petit’s Law:  Atomic mass ´ specific heat = 6.4

ILLUSTRATIVE EXAMPLE(1): The specific heat of a metal of atomic mass 32 is likely to be:
                                (A)  0.25                                                                (B)  0.24
                                (C)  0.20                                                                (D)  0.1
SOLUTION:
ILLUSTRATIVE EXAMPLE(2): On dissolving 6 gm of metal in sulphuric acid, 13.53g of the metal sulphate was formed. The specific heat of metal is 0.057 Cal/g. What is equivalent mass of metal, valency and exact atomic mass?
SOLUTION:
(2)  Cannizzaro’s methods:
If an element has several compound with other same or different elements of known atomic mass then the compound that has minimum presence of former element indicate the atomic mass of former element.
Procedure:
(1)  First of all the molecular mass of all compounds known by applying
      V.D ´ 2 = mol. weight
(2)  By analysis the presence of the desired element in each compound is known.
(3)  The mass that is lowest among all the compound indicate the atomic mass
of that element
ILLUSTRATIVE EXAMPLE (3): Estimate the atomic mass of nitrogen given that vapour density of NH3 = 8.5, Nitrous oxide = 22, Nitric oxide = 15, Nitrogen peroxide = 23, Nitrogen
trioxide = 38.
SOLUTION:
(3)  Law of Isomorphism
When two or more compound forms similar type of crystals or able to form mixed crystals, they are known as isomorphs. For examples: MgSO4.7H2O, ZnSO4.7H2O and FeSO4.7H2O are isomorphs of each other as their crystals posses same shape.
According to Mitscherlich [year 1819]. The valency of elements that are similarly placed to that of other elements in their isomorphs are always same.
In the above example Fe, Zn and Mg have same valency [2] and equal ratio of water molecule in each isomorphs.
If equivalent mass of one element is known then atomic mass can be calculated by knowing the valency of other isomorphs key element.
ILLUSTRATIVE EXAMPLE(4): Which pair of the following substances is said to be isomorphous?
                        (A) White vitriol and blue vitriol        (B) Epsom salt and Glauber’s salt
                        (C) Blue vitriol and Glauber’s salt      (D) White vitriol and Epsom salt
SOLUTION:   Epsom salt (MgSO4.7H2O) and White vitriol (ZnSO4.7H2O) contains divalent cation Mg2+ and Zn2+ and same number of water molecules as water of crystallization which hold criteria for isomorphism. Hence (D) is correct.
(4)  Atomic mass from vapour density of a chloride:
The following steps are involved in this method
(1) Vapour density of chloride of the element is determined
(2) Equivalent mass of the element is determined
(3) Let the valency of the element be x. The formula of its chloride will be MClX
ILLUSTRATIVE EXAMPLE(5): One gram of chloride was found to contain 0.835g of chlorine. Its vapour density is 85. Calculate its molecular formula
SOLUTION:

TRY YOURSELF:

Exercise (1): Two oxides of a metal contain 63.2% and 69.62% of the metal. The specific heat of the metal is 0.117. What is the formula of the two oxides?
Exercise (2): 1 g of a metal which has specific heat of 0.06 combines with oxygen to form 1.08 g of oxide. What is the mass of M?
Exercise (3): The chloride of a solid metallic element contains 57.89% by mass of the element. The specific heat of the element is 0.0324 cal deg-1g-1. Calculate the exact atomic mass of the element.
Exercise (4): White vitriol (hydrated sulphite) is isomorphous with MgSO4.7H2O. White vitriol contains 22.95% zinc and 43.9% of water of crystallization. Find the atomic mass of zinc.
Exercise (5): Two oxides of metals A and B are isomorphous. The metal A whose atomic mass is 52, forms a chloride whose vapour density is 79. The oxide of the metal B contains 47.1% oxygen. Calculate the atomic mass of B.

ANSWER KEYS:
Exercise (1): MO2 and M2O3, Exercise (2): Molar mass of metal 100 g, Exercise (3): 195.21, Exercise (4): 65.3 (atomic mass of zinc) Exercise (5): Atomic mass of B = 27 amu


DALTON’S ATOMIC THEORY:


(1) Matter is made up of extremely small, indivisible particles called atoms.
(2) Atom of same substance are identical in all respect i.e. they posses same size, shape, mass, chemical properties etc.
(3) Atom of different substances are different in all respect i.e. they posses different shape, size, mass and chemical properties etc.
(4) Atom is the smallest particle that takes part in chemical reactions.
(5) Atom of different elements may combine with each other in a fixed, simple, whole number ratio to form compound atoms.
(6) Atom can neither be created nor destroyed i.e. atoms are indestructible.

Limitations of Dalton’s theory:
The main failures of Dalton’s atomic theory are:
(1) Atom was no more indivisible. It is made up of various sub-atomic particles like electrons, proton and neutron etc.
(2) It failed to explain how atoms of different elements differ from each other.
(3) It failed to explain how and why atoms of elements combine with each other to form compound atoms or molecules.
(4) It failed to explain the nature of forces that bind together different atoms in molecules.
(5) It failed to explain Gay Lussac’s law of combining volumes.
(6) It did not make any distinction between ultimate particle of an element that takes part in reaction (atoms) and the ultimate particle that has independent existence (molecules).
Modern Atomic theory:
(1) Atom is no longer supposed to be indivisible. Atom has a complex structure and is composed of sub-atomic particles such as electrons protons and neutrons.
(2) Atom of the same element may not be similar in all respects e.g. isotopes.
(3) Atom of different elements may be similar in one or more respects e.g. isobars.
(4) Atom is the smallest unit which takes part in chemical reactions.
(5) The ratio in which atoms unite may be fixed and integral but may not be simple. e.g. In sugar molecules C12H22O11 the ratio of C, H and O atoms is 12:22:11 which is not simple.
(6) Atom of one element can be changed into atoms of other element for e.g. transmutation.
(7) Mass of atom can be changed in energy. 
     (E=MC2) According to Einstein mass energy relationship, mass and energy are inter-convertible. Thus atom is no longer indestructible.
ILLUSTRATIVE EXAMPLE: An important postulate of Dalton’s atomic theory is:
                        (A) an atom contains electrons, protons and neutrons
                        (B) atom can neither be created nor destroyed nor divisible
                        (C) all the atoms of an element are not identical
                        (D) all the elements are available in nature in the form of atoms
SOLUTION: The statement written in (B) is about law of mass conservation which is true for all chemical reaction. Hence (B) is correct.

Monday, May 20, 2019

PERCENTAGE COMPOSITION OF COMPOUNDS:

Law of Definite Proportions:  Compounds are consistent chemical combinations of atoms that can be expressed as:
(i)  Ratio of masses
(ii) Ratio of atoms
(iii) Ratio of moles of atoms
(iv) Percent composition
ILLUSTRATIVE EXAMPLE (1): Calculate the percent Nitrogen in Dinitrogen (N2O) Monoxide?
SOLUTION:
ILLUSTRATIVE EXAMPLE (2): What is the % composition of each element in (Mg(OH)2) magnesium hydroxide?
SOLUTION:
ILLUSTRATIVE EXAMPLE (3): Haemoglobin contains 0.33% of Iron by weight. The molecular weight of it is approx. 67200. The numbers of iron atoms (Atomic wt of Fe=56 u) present in one molecule of Haemoglobin are?
SOLUTION:
ILLUSTRATIVE EXAMPLE (4): The hydrated salt, Na2SO4.nH2O undergoes 55.9% loss in weight on heating and becomes anhydrous. The value of n will be?
SOLUTION:
ILLUSTRATIVE EXAMPLE (5): Air contain 20 % O2 by volume. How many cm³ of air will be required for oxidation of 100 cm³(ml) of acetylene?
SOLUTION:
Since air contain 20 % oxygen by volume then amount of air required to react with 100cc/ml of C2H2
Try yourself:
Exercise (4): Two oxides of metal contain 72.4 and 70 of metal respectively if formula of 2nd oxide is M2O3 find that of the first.

Saturday, May 18, 2019

DETERMINATION OF EMPIRICAL AND MOLECULAR FORMULA:

(1)  PERCENTAGE COMPOTION OF COMPOUNDS:
(2) EMPIRICAL FORMULA:
It is the formula which expresses the smallest whole number ratio of the constituent atom within the molecule. Empirical formula of different compound may be same. So it may or may not represent the actual formula of the molecule. It can be deduced by knowing the weight % of the entire constituent element with their atomic masses for the given compound.
For example: C6H12O6, CH3COOH, HCHO All have same empirical formula CH2O, but they are different.
The empirical formula of a compound can be determined by the following steps:
Step-(1) Write the name of detected elements in column-1 present in the compound.
Step-(2) Write the corresponding atomic mass in column-2.
Step-(2) Write the experimentally determined percentage composition by weight of each element present in the compound in column-3.
Step-(2) Divide the percentage of each element by its atomic weight to get the relative number of atoms of each element in column-4.
Step-(2) Divide each number obtained for the respective elements in step (3) by the smallest number among those numbers so as to get the simplest ratio in column-5.
Step-(2) If any number obtained in step (4) is not a whole number then multiply all the numbers by a suitable integer to get whole number ratio. This ratio will be the simplest ratio of the atoms of different elements present in the compound. Empirical formula of the compound can be written with the help of this ratio in column-6.
ILLUSTRATIVE EXAMPLE (1): A compound contains C =71.23%, H = 12.95% and O = 15.81%. What is the empirical formula of the compound?
SOLUTION:
ILLUSTRATIVE EXAMPLE (2): The simplest formula of a compound containing 50% of element X (Atomic mass = 10) and 50% of the element Y (Atomic mass = 20) is:
                        (A) XY                                                  (B) X2Y
                        (C) XY2                                                 (D) X2Y3
SOLUTION:
ILLUSTRATIVE EXAMPLE (3): A compound of carbon, hydrogen and nitrogen contains these elements in the ratio 9:1:3.5. Calculate the empirical formula. If its molecular mass is 108, what is the molecular formula?
SOLUTION
Empirical formula = C3H4N

Empirical formula mass = (3 ´ 12) + (4 ´ 1) + 14 = 54
Thus, molecular formula of the compound
 = 2 ´ empirical formula = 2 ´ (C3H4N )= C6H8N2


 ILLUSTRATIVE EXAMPLE (4): 2.38 gm of uranium was heated strongly in a current of air. The resulting oxide weighed 2.806 g. Determine the empirical formula of the oxide. (At. mass U = 238; O = 16).
SOLUTION:
Step 1: To calculate the percentage of uranium and oxygen in the oxide.
Step 2: To calculate the empirical formula

ILLUSTRATIVE EXAMPLE (5): Chemical analysis of a carbon compound gave the following percentage composition by weight of the elements present. Carbon 10.06%, hydrogen 0.84%, chlorine 89.10%. Calculate the empirical formula of the compound.
SOLUTION:
Step 1: Percentage of the elements present
Step 2:      Dividing the percentage compositions by the respective atomic weights of the elements
Step 3: Dividing each value in step 2 by the smallest number among them to get simple atomic ratio  
Step 4:      Ratio of the atoms present in the molecule  C  : H  : Cl
                                                                                     1  :  1  :   3
      The empirical formula of the compound is  C1H1Cl3 o r CHCl3.

ILLUSTRATIVE EXAMPLE (6): A carbon compound on analysis gave the following percentage composition. Carbon 14.5%, hydrogen 1.8%, chlorine 64.46%, oxygen 19.24%. Calculate the empirical formula of the compound
SOLUTION:
Step 1: Percentage composition of the elements present in the compound.
Step 2:      Dividing by the respective atomic weights
Step 3:      Dividing the values in step 2 among them by the smallest number.
Step 4:      Multiplication by a suitable integer to get whole number ratio.
       Thus the simplest ratio of the atoms of different elements in the compound.
                                            C : H : Cl : O = 2 : 3 : 3 : 2

 (1) MOLECULAR FORMULA:
The formula which represents the actual number of each individual atom in any molecule is known as molecular formula. For certain compounds the molecular formula and the empirical formula may be same.
Molecular formula= (Empirical formula) n
Molecular Weight = Empirical Weight * n
If the vapour density of the substance is known, its molecular weight can be calculated by using the equation.
Molecular Weight= 2* Vapour Density

ILLUSTRATIVE EXAMPLE (6): The empirical formula of a compound is . Its molecular weight is 90. Calculate the molecular formula of the compound. (Atomic weights C = 12, H = 1, O = 16)
SOLUTION:
Empirical formula =CH2O
Empirical formula weight = (12 + 2 + 16) = 30
         The molecular formula = (CH2O)3=C3H6O3

ILLUSTRATIVE EXAMPLE (7): Certain non metal X forms two oxides I and II. The mass % of oxygen in 1st X4O5 is 43.7, which is same as that of X in 2nd oxide. Find the formula of 2nd oxide.
SOLUTION:

Try yourself:

Exercise (1):  A crystalline hydrated salt, on being rendered anhydrous, loses 45.6% of its mass. The percentage composition of the anhydrous salt is: Al = 10.5%, K = 15.1%, S =24.8% and oxygen = 49.6%. Find the empirical formula of the anhydrous and crystalline hydrated salt.        [K = 39; Al = 27; S = 32; O = 16; H = 1]
Exercise (2): A colourless crystalline compound has the following percentage composition: Sulphur 24.24%, nitrogen 21.21%, hydrogen 6.06% and the rest is oxygen. Determine the empirical formula of the compound. If the molecular mass is 132, what is the molecular formula of the compound? Name the compound if it is found to be sulphite.
Exercise (3) A gaseous hydrocarbon contains 85.7% carbon and 14.3% hydrogen.
1 litre of the hydrocarbon weighs 1.26 g at NTP. Determine the molecular formula of the hydrocarbon
.

Answers Keys:     
Exercise (1) Empirical formula of anhydrous salt = KAS2O8 Hydrated salt composition; % anhydrous part = 54.4% and % H2O = 45.6%; Empirical formula of hydrated salt = KAIS2O8.12H2O.
Exercise (2) Empirical formula SN2H8O4; Molecular formula = SN2H8O4; Name – Ammonium sulphite (NH4)2SO3.
Exercise (3) C2H4
Download as PDF: