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Question

Match the following List -I with list -II
ListIListII(I) A gaseous organic compound containing(P) One mole of compound contains 4NA atomsC=52.17%,H=13.04% and O=34.78%of Hydrogen.(by weight) having molar mass 46 g/mol.(II) 0.3 g of an organic compound containing(Q) The empirical formula of the compound is sameC, H and O on combustion yields 0.44 gas it's molecule formula.of CO2 and 0.18 g of H2O,with two O atoms per molecule(III) A hydrocarbon containing C = 42.857 %(R)Combustion products of one mole of compoundand H=57.143%(by mole) containing 3Ccontains large number of moles of CO2 atoms per molecule.than that of H2O.(IV) A hydrocarbon containing 10.5 g carbon(S) CO2 gas produced by the combustion ofper gram of hydrogen having vapour density of 460.25 mole of compound occupies a volume of 11.2 L at NTP.(T) Empirical formula and molecular formula arenot same.(U)CO2 and H2O are formed on combustion.

A
(I - Q,S,U); (II - P, S, T, U); (III - P, Q, R, U); (IV - Q, R, U)
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B
(I - Q,S); (II - P, T, U); (III - P, Q, R, U); (IV - Q, R, U)
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C
(I - Q,S,U); (II - P, T, U); (III - Q, R, U); (IV - Q, R, U)
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D
(I - Q,S,U); (II - P, S, T, U); (III - P, Q, R, U); (IV - Q, U)
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Solution

The correct option is A (I - Q,S,U); (II - P, S, T, U); (III - P, Q, R, U); (IV - Q, R, U)
(a) C:H:O=51.1712:13.041:34.7816=4:12:2 or 2:6:1
Empirical formula =C2H6O and molar mass = 46 g/mol , Empirical mass = 46 g/mol so n=1
Molecular formula =C2H6O
C2H6O+3O22CO2+3H2O
1 mole 44.8 L at STP
0.25 mole (11.2 L at STP)

(b) Mass of C in organic compound = mass of C in CO2=0.4444×12=0.12 g
Mass of H in organic compound = Mass of H in H2O=0.1818×2=0.02 g
Mass of O in organic compound = 0.3 - (0.12 + 0.02) = 0.16 g
C : H : O =0.1212:0.021:0.1616=0.01:0.02:0.01=1:2:1
Empirical formula =CH2O, but it contains 2 O atoms per molecule.
Molecular formula =C2H4O2
1 mole of C2H4O2 contains 4 NA hydrogen atoms.
C2H4O2+2O22CO2+2H2O
1 mole 44.8 L
0.25 mole 11.2 L

(c) C : H = 42.857 : 57.143
= 3 : x (given)
On solving, x = 4 molecular formula =C3H4 1 mole of C3H4 contains 4NA hydrogen atoms. Empirical formula is same as molecular formula C3H4+4O23CO2+2H2O
nCO2>nH2O

(d) C:H=10.512:11=78:1=7:8
therefore Empirical formula =C7H8
Mol wt. =2×VD=2×46=92
Molecular formula = Empirical formula =C7H8
C7H8+9O27CO2+4H2O
nCO2>nH2O

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