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7101.

Calculate the number of moles in (i) 12.046xx10^(23)" atoms of copper" (ii) 27.95 g of iron (iii) 1.51xx10^(23)" molecules of "CO_(2)

Answer»

SOLUTION :(i) `12.046xx10^(23)" atoms of copper"`
`6.023xx10^(23)" atoms of copper = 1 mole"`
`therefore 12.046xx10^(23)" atoms of copper"=(1xx12.046xx10^(23))/(6.023xx10^(23))="2 moles of copper"`
(ii) `"27.95 g of iron"`
`"55.9 g iron = 1 mole"`
`therefore" 27.95 g of iron"=(1)/(55.9)xx27.95="0.5 mole of iron"`
(iii) `1.51xx10^(23)" MOLECULE of "CO_(2)`
`"No. of moles"=("No. of MOLECULES")/("Avogadro NUMBER")`
`=(1.51xx10^(23))/(6.023xx10^(23))="0.25 mole of "CO_(2)`
7102.

Calculate the number of moles in each of the following. (i) 392 g of sulphuric acid (ii) 44.8 litres of sulphur dioxide at N.T.P. (iii) 6.022xx10^(22)" moles of oxygen" (iv) 8g of calcium

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SOLUTION :(i) 392 g of sulphuric acid
Molar mass of `H_(2)SO_(4)=2xx1+32+4xx16=98g`
`"98 g of sulphuric acid = 1 mole"`
392 g of sulphuric acid = 1 mol `xx(392)/((98g))="4 mol"`
(II) 44.8 litres of sulphur dioxide at N.T.P
22.4 litres of sulphur dioxide at N.T.T. = 1 mol
44.8 litres of sulphur dioxide at N.T.P. `=("1 mole")/("(22.4 L)")xx(44.8L)="2.0 mol"`
(III) `6.022xx10^(22)" molecules of oxygen"`
`6.022xx10^(22)" molecules of oxygen = 1 mol"`
`6.022xx10^(22)" molecules of oxygen = 1 mol "xx(6.022xx10^(22))/(6.022xx10^(23))="0.1 mol"`
(iv) 8g oc CALCIUM
Gram atomic mass of `Ca=40g`
`"40 g of calcium= 1 mol"`
`"8.0 g of calcium = 1 mol"xx((8.0g))/((40g))="0.2 mol."`
7103.

Calculate the number of moles in 24.092xx10^(22) molecules of water.

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SOLUTION :`"NUMBER of moles"=("No. of MOLECULES")/("Avogadro number")`
`=(24.092xx10^(2))/(6.023xx10^(23))`
`=4xx10^(22)xx10^(-23)=4xx10^(-1)`
`="0.4 mole."`
7104.

Calculate the number of moles in 12.046xx10^(22) atoms of copper.

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SOLUTION :`"No. of moles of ATOMS"=("No. of atoms")/("Avogadro number")`
`=(12.046xx10^(22))/(6.023xx10^(23))=2XX10^(-1)`
`=0.2" mole."`
7105.

Calculate the number of moles in 46 g of sodium.

Answer»

Solution :`"Number of moles"=("MASS of the ELEMENT")/("ATOMIC mass of the element")`
`=46//23`
`="2 moles of SODIUM"`
7106.

Calculate the number of moles for a substance containing 3.0115xx10^(23) molecules in it.

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SOLUTION :`"NUMBER of moles "=("No. of molecules")/("Avogadro number")`
`=(12.046xx10^(22))/(6.023xx10^(23))="0.5 MOLE"`
7107.

Calculate the number of moles :7.85 g of Fe

Answer»


ANSWER :0.14
7108.

calculate thenumberof moleculespresentin the 36 gwater .

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Solution :The moleculesweightof `H_(2) O=18`
Thus,18Gramsof ` H_(2)O`= 1moleof `H_(2)O`
`36"gramsof"H_(2) O = 1 " 2moleof " H_(2)O`
1moleof `H_(2) O`
`=6.023 xx 10^(23) ` MOLECULESOF `H_2O`.
`=1.204xx 10 ^(24)`moleculesof ` H_2 O`.
7109.

Calculate the number of moles :5.0 L of 0.75 M Na_(2)CO_(3)

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ANSWER :3.75
7110.

Calculate the number of moles :34.2 g of sucrose (C_(12)H_(22)O_(11))

Answer»


ANSWER :0.1
7111.

Calculate the number of molecules present in 22.0 g of CO_(2).

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ANSWER :`3.011xx10^(23)`
7112.

Calculate the number of molecules of 11 g of CO_(2).

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Solution :`"Gram molecular mass of "CO_(2)=44G`
`"NUMBER of molecules"=("Avogadro number"XX"given mass")/("Gram molecular mass")`
`=(6.023xx10^(23)xx11)/(44)`
`=1.51xx10^(23)CO_(2)" molecules"`
7113.

Calculate the number of molecules in 54 gm of H_(2)O

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Solution :`"Number of molecules"=("AVOGADRO number"xx"Given mass")/("Gram MOLECULAR mass")`
`"Number of molecules of water "=6.023xx10^(23)xx54//18`
`=18.069xx10^(23)" molecules"`
7114.

Calculate the number of molecules in 360g of flucose.

Answer»

Solution :`"Number of molecules"=("AVOGADRO number"xx"GIVEN mass")/("GRAM molecular mass")`
Gram molar mass of GLUCOSE `(C_(6)H_(12)O_(6))`
`=(6xx12)+(12xx1)+(6xx16)`
`=72+12+96=180g`
`"Number of molecules"=(6.023xx10^(23)xx360)/(180)=6..023xx10^(23)xx2`
`=12.046xx10^(23)" molecules (or)1.2046 "xx10^(24)" glucose molecules"`
7115.

Calculate the number of molecules in 11.2 litre of CO_(2) at S.T.P

Answer»

SOLUTION :`"NUMBER of MOLES of "CP_+(2)=("Volume at S.T.P")/("Molar volume")`
? `=11.2//22.4`
`="0.5 MOLE"`
`"Number of molecules of "CO_(2)="Number of molesof "CO_(2)xx"Avogadro.s number"`
`=0.5xx6.023xx10^(23)`
`=3.011xx10^(23)" molecules of "CO_(2)`
7116.

Calculate the number of molecule present in16.8 L of gas 'X' at STP. Also determine itsgram molecular weight if theabove sample weighs 26.625 g.

Answer»

SOLUTION :Volume of the given gas= 16.8 L at STP
Number of moles present in that volume = 16.8/22.4 = 0.75 moles
Number of MOLECULES in 0.75 moles = `0.75 xx 6.023 xx 10^(23) = 4.52 xx 10^(23)`
Weight of 0.75 moles of the gasX = 26.625 g
Gram MOLECULAR weight of 'X' = Weight /No. of moles = 26.625/0.75 = 35.5g
7117.

Calculate the number of kJ necessary to raise the temperature of 60g of aluminium from 35 to 55^(@)C. Molar heat capacity of Al is 24 J mol^(-1)K^(-1).

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ANSWER :1.067 KJ
7118.

Calculate the number of atoms present in 1 gram of gold ("Atomic mass of Au = 198")

Answer»

Solution :`"NUMBER of ATOMS of Au"=("Mass of Au"XX"Avogadro.s number")/("ATOMIC mass of Au")`
`"Number of atoms of Au"=(1)/(198)xx6.023xx10^(23)`
`"Number of atoms of Auy"=3.042xx10^(21)g`
7119.

Calculate the number of atoms of oxygen and carbon in 5 moles of CO_(2).

Answer»

Solution :`"1 mole of "CO_(2)" contains 2 moles of OXYGEN"`
`"5 moles of "CO_(2)" contain 10 moles of oxygen"`
`"Number of atoms of oxygen"="Number of moles of oxygen"XX"Avogadro.s number"`
`=10xx6.023xx10^(23)`
`=6.023xx10^(24)" atoms of Oxygen"`
`"1 mole of "CO_(2)" contains 1 mole of carbon"`
`"5 moles of "CO_(2)" contains 5 moles of carbon"`
`"No. of atoms of carbon"="NUMBR of moles of oxygen"xx"Avogadro.s number"`
`=106.023xx10^(23)`
`=6.023xx10^(24)"atoms of Oxygen"`
`"1 mole of "CO_(2)" contains 1 mole of carbon"`
`"5 moles of "CO_(2)" contains 5 moles of carbon"`
`"No. of atoms of carbon"="No. of moles of carbon"xx"Avogadro.s number"`
`=5xx6.023xx10^(23)`
`=3.011xx10^(23)" atoms of Carbon"`
7120.

Calculate the number of atoms in each of the following: (i) 52 moles of He (ii) 52 u of He (iii) 52 g of He

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SOLUTION :(i) `"1 mol of He"=52xx6.022xx10^(23)" atoms"=3.131xx10^(25)" atoms"`
(II) `"1 atom of He = 4 u of He"`
`"4 u of He"="4u of He"`
`therefore" 52 u of He"=(1)/(4)XX"52 atoms"="13 atoms"`
(III) `"1 mole of He "=4g=6.022xx10^(23)" atoms"`
`therefore"52 g of He"=(6.022xx10^(23))/(4)xx"52 atoms"=7.8286xx10^(24)" atoms"`
7121.

Calculate the number of atoms in each of the following : 52u of He

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ANSWER :13
7122.

Calculate the number of atoms in each of the following : 52g of He.

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ANSWER :`7.82xx10^24`
7123.

Calculate the number of atoms in each of the following : 52 moles of Ar.

Answer»


ANSWER :`3.13xx10^25`
7124.

Calculate the number of atoms in 32 u of He.

Answer»


ANSWER :8
7125.

Calculate the mole fraction of the solute in a 1.00 molal aqueoussolution.

Answer»


ANSWER :0.0177
7126.

Calculate the molarity of NaOH in the solution prepared by dissolving its 4 g in enough water to form 250 mL of the solution.

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ANSWER :0.4 M
7127.

Calculate themolarity of a solution obtained by mixing 250 mL of 0.5 MHClwith 750mL of 2 M HCl.

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`1.8`
`2.0`
`1.6`
`0.8`

Solution :`N_("Mixture")=(N_(1)V_(1)+N_(2)V_(2))/(V_(1)+V_(2))`
` = ((0.5)250+(2xx750))/(250+750) = 1.625`N
`:. ` Molarity = 1.625N(as HCl is MONOBASIC acid)
7128.

Calculate the maximum work obtained when 0.75 mole of an ideal gas expands isothermally and reversibly at 27^(@)C From a volume of 15L to 25L.

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ANSWER :`-955.7J`
7129.

Calculate the mass of the following: 5xx10^(23) molecules of glucose

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SOLUTION :`"Molecular MASS of glucose"=180`
`"Mass of glucose"=("Molecular mass"XX"number of particles")/("Avogadro.s number")`
`=(180xx5xx10^(23))//6.023xx10^(23)`
`=149.43g`
7130.

Calculate the mass of the following: 2.23 litre of SO_(2) gas at S.T.P

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Solution :`"Molecular MASS of "SO_(2)=32+(16xx2)`
`=32+32=64`
`"Number of moles of "SO_(2)=("Given volume of "SO_(2)" at S.T.P")/("Molar volume "SO_(2)"at S.T.P")`
`"Number of moles of "SO_(2)=(2.24)/(2.24)="0.1 MOLE"`
`"Number of moles"=("Mass")/("Molecular mass")`
`"Mass"="No. of moles"XX"molecular mass"`
`"Mass"=0.1xx64`
`"Mass of "SO_(2)=6.4g`
7131.

Calculate the mass of the following: 1//51xx10^(23) molecules of water

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Solution :`"MOLECULAR mass of "H_(2)O=18`
`"NUMBER of moles"=("Number of MOLECULES of water")/("Avogadro.s number")`
`=1.51xx10^(23)//6.023xx10^(23)`
`=1//4`
`="0.25 moles"`
7132.

Calculate the mass of the following: 0.3 mole of aluminium (Atomic mass of Al = 27)

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Solution :`"Number of MOLES"=("Mass of AL")/("ATOMIC mass of Al")`
`"Mass"="No. of moles"XX"atomic mass"`
`"So, MAS of Al"=0.3x23`
`=8.1g`
7133.

Calculate the mass of glucose in 2xx10^(24) molecules.

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Solution :`"Gram molecular MASS ofglucose = 180 g"`
`"Mass of glucose"=(180xx2xx10^(24))/(6.023xx10^(23))`
`=597.7g`
7134.

Calculate the mass of aluminium oxide which contains double the number of oxygen atoms in 192g of oxygen gas.

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SOLUTION :(i) atomicity of oxygen
(ii) CHEMICAL composition of `Al_(2)O_(3)`
(iii) determination of mass of `Al_(2)O_(3)`
(iv) 408g
7135.

Calculate the mass of 18.069xx10^(23) molecules of SO_(2)

Answer»

Solution :`"Mass of the SUBSTANCE"=("Gram molecular mass"XX"NUMBER of particles")/("AVOGADRO number")`
Gram molecular mass of `SO_(2)=32+16(2)=64G`
`"Mass of "SO_(2)=(64xx18.069xx10^(23))/(6.023xx10^(23))`
`=64xx3=192g`
7136.

Calculate the mass of 12.046xx10^(23) molecules of CaO.

Answer»

SOLUTION :`"GRAM MOLECULAR mass of "CaO=40+16=56g`
`"Mass of CaO"=(56xx12.046xx10^(23))/(6.023xx10^(23))=56xx2`
`=112g`
7137.

Calculate the mass of 0.5moles of O_(2) gas

Answer»

16g
32g
23g
12g

Answer :A
7138.

Calculate the mass of 0.5 mole of iron.

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SOLUTION :`"Mass"="Atomic mass"xx"NUMBER of MOLES"`
`"Mass of iron"=55.9xx0.5=27.95g`
7139.

Calculatethe grammolecularmass of thefollowingCO_(2)

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SOLUTION :`CO_(2)`
Atomicmassesof C =12 , O=16
Grammolarmassof `CO_(2)`
`= (12xx1 )+(16xx2 )`
`=12 +32`
Grammolecularmassof `CO_(2)= 44 g`
7140.

Calculate the gram molar mass of the following. (i) H_(2)O (ii) CO_(2) (iii) Ca_(3)(PO_(4))_(2)

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Solution :(i) `H_(2)O`
`"Atomic MASSES of H"=1, O=16`
`"Gram molar MASS of "H_(2)O=(1xx2)+(16xx1)`
`=2+16`
`"Gram molar mass of "H_(2)O=18g`
(ii) `CO_(2)`
`"Atomic masses of C"=12, O=16`
`"Gram molar mass of "CO_(2)=(12xx1)+(16xx2)`
`=12+32`
`"Gram molar mass of "CO_(2)=44g`
(iii) `Ca_(3)(PO_(4))_(2)`
`"Atomic masses of CA"=40, P=30, O=16`.
`"Gram molar mass of "Ca_(3)(PO_(4))_(2)=(40xx3)+[30+(16xx4)]xx2`
`=120+(94xx2)`
`=120+188`
`"Gram molar mass of "Ca_(3)(PO_(4))_(2)=308g`
7141.

Calculate the entropy change in the surroundings when 1.00 mol of H_(2)O(I) is formed under standard conditions, Delta_(f) H^(theta) = - 286 kJ mol^(-1)

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SOLUTION :`959.7 JK^(-1) MOL^(-1)`
7142.

Calculate the enthalpy change for the reaction: H_(2) (g) + Br_(2) (g) rarr 2HBr(g) Given the bond enthalpies H_(2), Br_(2) and HBr are 435 kJ mol^(-1), 192 kJ mol^(-1) and 368 kJ mol^(-1) respectively.

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SOLUTION :`-109 KJ MOL^(-1)`
7143.

Calculate the difference in the formulae and molecular masses for (a) CH_(3)OH and C_(2)H_(5)OH, (b) C_(2)H_(5)OH and C_(3)H_(7)OH and ( c ) C_(3)H_(7)OH and C_(4)H_(9)OH

Answer»

SOLUTION :
7144.

Calculate the average atomic mass of carbon, if the natural abundance of C-12 and C-13 are 98.90% and 1.10% respectively.

Answer»

Solution :AVERAGE ATOMIC mass of CARBON
`=(12xx(98.9)/(100))+(13xx(1.1)/(100))`
`=(12xx0.989)+(13xx0.011)`
`=11.868+0.143="12.011 amu"`
7145.

Calculate the amount of water (g) produced by the combustion of 16 g of methane

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ANSWER :36G
7146.

Calculate the amount of sodium oxide formed when 2.3 g of sodium reacts with 3.2 g of oxygen.

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Solution :`{:(4Na+O_(2) to 2Na_(2)O),("4 moles" " 1 MOLE" " 2 moles"):}`
`4 xx 23` g of sodium reacts with 32 g of `O_(2)`
2.3g of sodium reacts with =`(2.3 xx 32)/(4 xx 23) = 0.8` g
As the amount of oxygen PRESENT is 3.2 g, all the oxygen is not utilised for FORMATION of sodium oxide. The amount of sodium oxide formed is determined by sodium.`4 xx 23` g of sodium PRODUCES `2 xx 62` g of sodium oxide.
2.3 g of sodium produces = `(2.3 xx 2 xx62)/(4 xx 23) = 3.1` g
Amount of sodium oxide formed = 3.1 g.
7147.

Calculate % of S in H_(2)SO_(4)

Answer»

Solution :`"Molar mass of "H_(2)SO_(4)=(1xx2)+(32xx1)+(16xx4)`
`=2+32+64`
= 98g
`"% of S in "H_(2)SO_(4)=("Mass of sulphur")/("Molar mass of "H_(2)SO_(4))=100`
`"% of S in "H_(2)SO_(4)=(32)/(98)XX100`
`=32.65%`
7148.

Calculate : Number of moles in 8.0 g of O_(2)

Answer»


ANSWER :0.25 MOL
7149.

Calculate molarity of water if its density is 1.00 g mL^(-1).

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ANSWER :55.56 M
7150.

Calculate : Molar mass if 11.2 L at STP weigh 8.5 g.

Answer»


ANSWER :`17 "G MOL"^(-1)`