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1751.

For an atom 'X', K, L and M shells are completely filled . How many electrons will be present in it ?

Answer»

SOLUTION :`K - 2 , L - 8 , M - 18 , 28` ELECTRONS - Nickel
1752.

For a reaction, the instantaneous rate of reaction with respect to x, y and z is expressed as r=-(1)/(2)(Delta[x])/(Delta t)=-(1)/(3)(Delta[y])/(Delta t)=(1)/(2)(Delta [z])/(Delta t). What would be the stoichiometric equation for the reaction ?

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Solution :(i) RELATIONBETWEEN concentration of products, REACTANTS and `K_(c )`
(ii) relation between rates of a reaction and stability of the reactants
(III) relation between `K_(c )` and stability of reactants
(iv) relation between `K_(c )` and RATE of reaction
1753.

For ""_(15)^(31)P is one of the isotopes of phosphorus. State the number of protons, neutrons andelectrons in it respectively.

Answer»

15, 31, 15
15, 15, 16
15, 31, 16
15, 16, 15

Solution :For `""_(15)^(31)`P
Z = p = `BAR(e)` = 15
A = p + n
`THEREFORE` n = A - p = 31 - 15 = 16
1754.

Calculate the number of particles in each of the following: (i) 46 g of Na atoms (number from mass) (ii) 8g O_(2) molecules (number of molecules from mass) (iii) 0.1 mnole of carbon atoms (number from given moles)

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Solution :The number of `"ATOMS" // "molecules"= ("GIVEN MASS")/("molar mass") xx "Avogadro number"`
i.e., `N= (m)/(M) xx N_(A)`
(i) `N= (46)/(23) xx 6.022 xx 10^(23)` [Molar mass of NA = 23 g]
`= 2 xx 6.022 xx 10^(23) ~~ 12.044 xx 10^(23)`
(ii) `N=(8)/(32) xx 6.022 xx 10^(23)` [Molar mass of `O_(2)` = 32 g]
`=(1)/(4) xx 6.022 xx 10^(23) ~~ 1.51 xx 10^(23)`
(iii) The number of atoms = `"number of moles" xx "Avogadro number"`
`:.` the number of carbon atoms = `0.1 xx 6.022 xx 10^(23) = 6.022 xx 10^(22)`
1755.

Calculate the number of particles in each of the following: (i) 46 g of Na atoms (number from mass) (ii) 8g O_(2) molecules (number of molecules from mass) (iii) 0.1 mole of carbon atoms (number from given moles)

Answer»

Solution :(i) The number of ATOMS = `("given mass")/("MOLAR mass") XX "Avogadro number"`
`implies N= (m)/(M) xx N_(0)`
`implies N= (46)/(23) xx 6.022 xx 10^(23)`
`implies N = 12.044 xx 10^(23)`
(II) The number of molecules= `("given mass")/("molar mass") xx "Avogadro number"`
`implies N= (m)/(M) xx N_(0)`
Atomic mass of oxygen = 16 u
`:.` molar mass of `O_(2)` molecules = `16 xx 2` = 32 g
`implies N=(8)/(32) xx 6.022 xx 10^(23)`
`implies N = 1.5055 xx 10^(23) ~~ 1.51 xx 10^(23)`
(iii) The number of particles (atom) = `"number of moles of particles" xx "Avogadro number"`
`N = n xx N_(0)`
`= 0.1 xx 6.022 xx 10^(23)`
`= 6.022 xx 10^(22)`
1756.

Calculate the number of particle in 8 g O_(2) molecules (number of molecules from mass)

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Solution :The number of molecules = `("given mass")/("molar mass") xx ` Avogadro number
`IMPLIES N = (m)/(M) xx N_(0)`
Atomic mass of oxygen = 16 u
`therefore` Molar mass of `O_(2)` molecules = `16 xx 2 = 32` G
`implies N = (8)/(32) xx 6 *022 xx 10^(23)`
`= 1*51 xx 10^(23)`
1757.

Calculate the number of particle in 46 g of Na atoms (number from mass)

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Solution :The number of atoms = `("given mass")/("molar mass") xx` Avogadro number
`implies N = (m)/(M) xx N_(0)`
`implies N = (46)/(23) xx 6 * 022 xx 10^(23)`
`implies N = 12* 044 xx 10^(23)`
1758.

Calculate the number of particle in 0.1 mole of carbon atoms (number from given moles)

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SOLUTION :The NUMBER of particles (ATOM) = number of moles of particles `xx` Avogadro number
`N = n xx N_(0) = 0*1 xx 6*022 xx 10^(23)`
`= 6*022 xx 10^(23)`
1759.

Calculate the number of neutrons present in the nucleus of an element X which is represented as .^(31)X_(15).

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Solution :`.^(31)X_(15)` INDICATE that No FO protons = 15 and mass NUMBER = 31
Mass number = No. of proton + No. of Neutron = 31
No of neutron = 31 - number of protons
`= 31-15=16`
1760.

Calculate the number of neutrons in the following atoms : (a)""_(27)^(13)AI (b)""_(31)^(15)P ( c) ""_(190)^(76)O (d)""_(54)^(24)Cr

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Solution :NUMBER of neutrons (n) = Mass number (A) - Atomic number (z)
(a)`""_(27)^(13) `AINumber of neutrons (n) `= 27 (A) - 13 (z) = 14`
(b)`""_(31)^(15)P`Number of neuttons (n) `= 31 (A) - 15 (z) = 16`
( c) `""_(190)^(76)O` Number of neutrons (n) `= 190 (A) - 76 (z) = 114`
1761.

Calculate the number of moles in the following : (i) 128 g of oxygen (ii) 68 g of ammonia

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SOLUTION :(i) 8 , (II) 4
1762.

Calculate the number of moles in 5.75 g of sodium. ("Atomic mass of sodium" = 23)

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Solution :1 mol of sodium ATOMS = gram - ATOMIC mass of sodium = 23 g
23 g of sodium = `(5.75)/(23)` mol of sodium = 0.25 mol .
1763.

Calculate the number of moles for the following: (i) 52 g of He (finding mole from mass) (ii) 12.044 xx 10^(23) number of He atoms (finding mole from number of particles).

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Solution :No. of MOLES = n
Given mass = m
MOLAR mass =M
Given NUMBER of particles = N
Avogadro number of particles = `N_(0)`
(i) Atomic mass of He = 4 u
Molar mass of He = 4g
Thus, the number of moles `= ("given mass")/("molar mass") implies n=(m)/(M)=(52)/(4) = 13` mole
(II) 1 mole = `6.022 xx 10^(23)`
The number of moles = `("given number of particles")/("Avogadro number")`
`implies n=(N)/(N_(0))=(12.044 xx 10^(23))/(6.022 xx 10^(23))`
= 2 mole
1764.

Calculate the number of moles for 12.044 xx 10^(23) number of He atoms (finding mole from number of particles) .

Answer»

Solution :No. of MOLES = n
Given mass = m
Molar mass = M
Given NUMBER of particles = N
Avagadro number of particles = `N_(0)`
We know ,
1 mole = `6.022 xx 10^(23)`
The number of moles = `("given number of particles")/("Avogadro number")`
`implies n = (N)/(N_(0)) = (12.044 xx 10^(23))/(6.022 xx 10^(23)) = 2`
1765.

Calculate the number of moles for 52 g of He (finding mole from mass)

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SOLUTION :No. of MOLES = n
Given MASS = m
Molar mass = M
Given number of PARTICLES = N
Avagadro number of particles = `N_(0)`
Atomic mass of He = 4 u
Molar mass of He = 4 g
Thus , the number of moles = `("given mass")/("molar mass")`
`implies n = (m)/(M) = (52)/(4) = 13`
1766.

Calculate the number of molecules of sulphur (S_(8)) present in 16 g of solid sulphur .

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SOLUTION :`(16 XX 6 * 022 xx 10^(23))/(256)`
`= 3*76 xx 10^(23) ` molecules
1767.

Calculate the number of molecules of sulphur (S_(8)) present in 16 g of solid sulphur.

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Solution :Atomic mass of sulphur = 32 G
`:.` molar mass of sulphur `(S_(8)) = 32 xx 8` = 256 g
Given mass of sulphur = 16 g
The number of molecules = `("given mass")/("molar mass") xx "Avogadro number"`
`= (16)/(256) xx 6.022 xx 10^(23)`
`~~ 0.376 xx 10^(23)`
`= 3.76 xx 10^(22)`
The number of molecules PRESENT in 16G of sulphur is `3.76 xx 10^(22)`
1768.

Calculate the number of molecules of SO_(2) present in 44 g of it.

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SOLUTION :The molar MASS of `SO_(2)` = 32 + 32 = 64G
The number of molecules = `("GIVEN mass")/("molar mass") xx "Avogadro constant"`
`=(44)/(64) xx 6.022 xx 10^(23) = 4.14 xx 10^(23)`
1769.

Calculate the number of calcium ions in 5.6 g of calcium oxide . (Ca = 40)

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SOLUTION :`6.022 XX 10^(22) G`
1770.

Calculate the number of atoms of each element present in 9.8 g of sulphuric acid , H_(2)SO_(4) , (H = 1,S = 32, O = 16)

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SOLUTION :`H = 1.2044 XX 10^(22) , S = 6.022 xx 10^(22) , O = 2.4088 xx 10^(22)`
1771.

Calculate the number of aluminium ions present in 0.051g of aluminium oxide.

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Solution :Molar MASS of aluminium oxide `Al_(2)O_(3) = (2 xx 27) + (3 xx 16)` = 54 + 48 = 102 G
The number of molecules
`= ("given mass")/("molar mass") xx "Avogadro number"`
`= (0.051)/(102) xx 6.022 xx 10^(23)`
`= 0.003011 xx 10^(23) ~~ 3.011 10^(20)`
1 molecule of `Al_(2)O_(3)` give `2Al^(3+)` lons
`:. 0.051 g Al_(2)O_(3)` gives `2 xx 3.011 xx 10^(20)`
`= 6.022 xx 10^(20)` ions
1772.

Calculate the number of aluminium ions present in 0.051 g of aluminium oxide . (Hint : The mass of an ion is the same as that of an atom of the same element , Atomic mass of Al = 27 u)

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SOLUTION :Mole of aluminium OXIDE `(Al_(2)O_(3))`
`=2x27+3x16=102g`
i.e., `102g` of `Al_(2)O_(3)=6.022x10^(23)//102x0.051` molecules
`=3.011x10^(20)` molecules of `Al_(2)O_(3)`
The number of aluminium ion `(Al^(3+))` PRESENT in one molecule of aluminium oxide is 2. Therefore the number of aluminium ions `(Al^(3+))` present in `3.011 x 10^(20)` molecules (0.051g) of aluminium oxide
`(Al_(2)O_(3))=2x3.011xx10^(20)`
`=6.022x10^(20)`
1773.

Calculate the number of aluminium ions in 0.051g of aluminium oxide (Al_(2)O_(3))

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Solution :Step 1: Calcilation of no. of MOLES in 0.0591g of `Al_(2)O_(3)`
Gram molecular mass of `Al_(2)O_(3)=2xx"Grams atomic mass of "Al+3xx"Gram atomic mass of O"`
`=(2xx27g)+(3xx16g)=102g`
Now,a 102g of `Al_(2)O_(3)` =1 MOL
`therefore 0.051g of Al_(2)O_(3)=((0.051g))/((102g))xx(1"mol")=0.0005"mol"`
Step -II: Calculation of no. of Al ions in 0.001 mole of `Al_(2)O_(3)`
1 mole of `Al_(2)O_(3)` contains Al atoms `=2xxN_(0)`
`0.005"mole of"Al_(2)O_(3) "contains Al atoms"=2xx0.005xxN_(0)`
`=2xx0.005xx6.022xx10^(23)=6.022xx10^(20)"atoms"`
In `Al_(2)O_(3)` valency of Al=3+
No. of aluminium ions (`Al^(3+))` present in the same as the no. of Al atoms.
1774.

Calculate the molecule masses of H_(2)O_(2),Cl_(2),CO_(2), CH_(4), C_(2),H_(2),C_(2),H_(4),NH_(3),CH_(3), OH

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SOLUTION :Molecule mass of `H_(2)=2` atomic mass of H
`=2x1=2u`
Molecular mass of `O_(2)=2 x` atomic mass of O
`=2xx16=32u`
Molecular mass of `Cl_(2)=2x` atomic mass of Cl
`=2x35.5=71u`
Molecular mass of `Co_(2)=` atomic MASSS of C=2 atomic mass of O
`=12+2x 16=44u`
Molecules masss of `CH_(4)` : atomic of C=4 atomic mass of H
`=12+4x1=16u`
Molecules masss of `C_(2)H_(4)=2` x atomic mass of `C+4` x atomic mass of H
`=2x 12+4x1=28u`
Molecules masss of `NH_(3)`= Atomic mass of `N+3` atomic of mass of H
`=14+3x1=17u`
Molecules masss of `CH_(3)OH`= Atomic massof C+3 x atomic mass of H+ atomic mass OFO+ Atomic mass of H
`=12+3x1+8+1=24u`
1775.

Calculate the molecular masses of H_(2), O_(2), Cl_(2), CO_(2), CH_(4), C_(2)H_(6), C_(2)H_(4), NH_(3), CH_(3)OH.

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Solution :MOLECULAR mass = `"number of atoms" xx "atomic mass of the element"`
The molecular masses of
`H_(2) = 2 xx 1 = 2 u""O_(2) = 2 xx 16 = 32 u`
`Cl_(2)= 2 xx 35.5 = 71 u""CO_(2)= 1 xx 12 + 2 xx 16 = 12 + 32 = 44 u`
`CH_(4)= 1 xx 12+ 4 xx 1 = 12 + 4 = 16 u""C_(2)H_(6) = 2 xx 12 + 6 xx 1 = 24 + 6 = 30 u`
`C_(2)H_(4) = 2 xx 12 + 4 xx 1 = 24 + 4 = 28 u""NH_(3) = 1 xx 14 + 3 xx 1 = 14 + 3 = 17 u`
`CH_(3)OH= 1 xx 12 +3 xx 1 + 1 xx 16+ 1 xx 1 = 12 + 3 + 16 + 1 = 32 u`
1776.

Calculate the molecular mass of the following: NH_(3)

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Solution :MOLECULAR mass of `NH_(3) = (1 xx "atomic mass of N") + (3 xx "atomic mass of H")`
`= (1 xx 14) + (3 xx 1)`
= 14 + 3 = 17 u
1777.

Calculate the molecular mass of the following: PCl_(5)

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Solution :Molecular mass of `PCI_(5) = (1 xx "ATOMIC mass of P") + (5 xx "atomic mass of Cl")`
`= (1 xx 31) + (5 xx 35.5)`
= 31 + 177.5 = 208.5 U
1778.

Calculate the molecular mass of the following: NaOH

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SOLUTION :Molecular mass of NAOH = `(1 xx "atomic mass of NA") + (1 xx "atomic mass of O") + (1 xx "atomic mass of H")`
`= (1 xx 23) + (1 xx 16) + (1 xx 1)`
= 23 + 16 + 1 = 40 u
1779.

Calculate the molecular mass of the following: NaCl

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Solution :MOLECULAR mass of NACL = `(1 xx "ATOMIC mass of Na") + (1 xx "atomic mass of Cl")`
`= (1 xx 23) + (1 xx 35.5)`
= 23 + 35.5
= 58.5 U
1780.

Calculate the molecular mass of the following: HCl

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Solution :MOLECULAR MASS of HCI = `(1 xx "atomic mass of H") + (1 xx "atomic mass of Cl")`
`= (1 xx 1) + (1 xx 35.5)`
= 1 + 35.5 = 36.5 U
1781.

Calculate the molecular mass of the following: H_(2)O_(2)

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Solution :MOLECULAR MASS of `H_(2)O_(2) = (2 xx "atomic mass of H") + (2 xx "atomic mass of O")`
`= (2 xx 1) + (2 xx 16)`
= 2 + 32 = 34 u
1782.

Calculate the molecular mass ofO_(2)

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SOLUTION :`O_(2) = 2 xx` ATOMIC mass of oxygen
`= 2 xx 16`
= `32`
1783.

Calculate the molecular mass of NH_(3)

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Solution :`NH_(3) = (1 XX ` atomic MASS of Nitrogen) + `( 3 xx ` atomic mass of HYDROGEN)
`= (1 xx 14) + (3 xx 1)`
`= 14 + 3 = 17`
1784.

Calculate the molecular mass ofH_(2)

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Solution :`H_(2) = 2 xx` ATOMIC MASS of Hydrogen
`=2 xx 1`
= 2
1785.

Calculate the molecular mass of CO_(2)

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SOLUTION :`CO_(2) = (1 xx` ATOMIC mass of carbon ) + 2 (atomic mass of oxygen)
`= (1 xx 12) + (2 xx 16)`
= `12 + 32 = 44`
1786.

Calculate the molecular mass ofCl_(2)

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SOLUTION :`Cl_(2) = 2 XX` ATOMIC mass of CHLORINE
`= 2 xx 35.5`
`= 71`
1787.

Calculate the molecular mass of CH_(4)

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SOLUTION :`CH_(4) = (1 xx` atomic mass of CARBON ) + `4 xx` atomic mass of hydrogen
`= (1 xx 12) + (4 xx 1) = 12 + 4 = 16`
1788.

Calculate the molecular mass ofCH_(3)OH

Answer»

Solution :`CH_(3)OH = (1 XX 12) + (H xx 4) + (0 xx 10)`
`= 12 + 4 + 16 = 32`
1789.

Calculate the molecular mass ofC_(2)H_(8)

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Solution :`C_(2)H_(8) = ( 2 xx ` atomic MASS of carbon ) + `(8 xx ` atomic mass of HYDROGEN )
`= ( 2 xx 12 ) + ( 8 xx 1)`
`= 24 + 8 = 32`
1790.

Calculate the molecular mass ofC_(2) H_(4)

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SOLUTION :`C_(2)H_(4) = ( 2 xx` ATOMIC mass of CARBON ) + (`4 xx ` atomic mass of hydrogen )
`= ( 2 xx 12) + (4 xx 1)`
`= 24 + 4 = 28`
1791.

Calculate the Molecular formula unit mass of Na_(2)O, given atomic masses of Na = 234 and O = 164

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SOLUTION :`Na_(2)O = (2 xx NA) + (1 xx 0)`
`= (2 xx 23) + (1 xx 16)`
`= 46 + 12 = 62`
1792.

Calculate the Molecular formula unit mass of K^(2) CO_(3), given atomic masses of K = 394 and O = 164

Answer»

SOLUTION :`K_(2) CO_(3) = (2 xx 1C) + (1 xx C) + (3 xx 0) = (2 xx 39) + (1 xx 12) + (3 xx 16)`
`= 78 + 12 + 48`
=`90 + 48 = 138`
1793.

Calculate the molarity of 30 % (w/w) NaOH solution, if the density of the solution is 1.05 g/cc.

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SOLUTION :(i) CALCULATION of the volume of 100 g of the solution
(II) calculation of number of moles of `NaOH` present in the CALCULATED volume of the solution
(iii) 7.88 M
1794.

Calculate the molar mass of the following substances : (a) Ethyne, CH_(2) (b) Sulphur molecule, S_(8) (c) Phosphorus molecule, C_(4) (atomic mass of Phosphorus = 31) (d) Nitric acid, HNO_(3) Hydrochloric acid, HCl

Answer»

SOLUTION :Ethyne, CH Molar MASS of ethyne, `C_(2)H_(2) = 2x12+2x1`
`=26g`
(b) SULPHUR molecule `S_(8)`
Molar mass of Sulphur molecule,
`S_(8)=8x32=256g`
(c) Phosphorus molecule `P_(4)`
`P_(4)=4x31`
`=124g`
(d) Hydrochloric acid, HCl (E) Nitric acid, `HNO_(3)`
Molar mass of Nitric acid `HNO_(3)+1+14+3x16=63g`
1795.

Calculate the molar mass of the following substances : (a) Ethyne, C_(2)H_(2) (b) Sulphur molecule, S_(8) (c) Phosphorus molecule, P_(4) (Atomic mass of phosphorus = 31) (d) Hydrochloric acid, HCl (e) Nitric acid, HNO_(3).

Answer»

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Solution :The molar mass (Unit, 9) of the following SUBSTANCES are -
(a) Ethyne, `C_(2)H_(2) = (2 xx 12) + (2 xx 1)`
= 24 +2 = 26 g
(b) Sulphur molecule, `S_(8) = 8 xx 32 = 256 g`
(c) Phosphorus molecule, `P_(4) = 4 xx 31 = 124 g`
(d) HYDROCHLORIC acid, HCl = `(1 xx 1) + (1 xx 35.5)` = 1 + 35.5 = 36.5 g
(e) Nitric acid, `HNO_(3) = (1 xx 1) + (1 xx 14) + (3 xx 16)`
= 1 + 14 + 48 = 63 g
1796.

Calculate the molar mass of Sulphur molecule , S_(i)

Answer»

SOLUTION :`S_(8) = (SXX 32)`
`= 8 xx 32 = 256`
1797.

Calculate the molar mass of Nitric acid , HNO_(3)

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Solution :`HNO_(3)`
`(1 xx 4) + (1 xx N) + (3xx 0)`
`(1 xx 1) + (1 xx 14) + (3 xx 16)`
`1 + 14 + 48 = 63`
1798.

Calculate the molar mass of Hydrochloric acid , HCl

Answer»

SOLUTION :`HCl = ( 1 XX 4) + (1 xx 4) `
`= ( 1 xx 1) + ( 1 xx 35 - 5)`
`= 1 xx 35.5 = 36.5`
1799.

Calculate the molar mass of Ethyne , C_(2)H_(2)

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Solution :`C_(2)H_(2) = (2 XX C) + (2 xx 4)`
`= (2 xx 12) + ( 2 xx 1) `
`= 24 + 2 = 26`
1800.

Calculate the molar mass of Phosphorus molecule , P_(4) (Atomic mass of phosphorus = 31)

Answer»

SOLUTION :`P_(4) = ( 4 XX p)`
`= 4 xx 31 = 124`