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Question

Given:
⎢ ⎢ ⎢ ⎢ ⎢H2 (g)+12O2 (g)=H2O (g); ΔH=241.8 kJC2H2 (g)+52O2 (g)=2CO2 (g)+H2O (g); ΔH=1300kJ⎥ ⎥ ⎥ ⎥ ⎥
Equal volumes of C2H2 and H2 are combusted under identical conditions. The ratio of heats evolved in the two cases is

A
5.37/1
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B
1/5.37
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C
1/1
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D
none of these
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Solution

The correct option is A 5.37/1
According to Avogadro's law: Equal volumes of all gases, at the same temperature and pressure, have the same number of molecules/moles.

Lets consider equal volumes are combusted in such a manner that 1 mole of each is combusted.
ΔH for 1 mole of the reactant is given in the question.
Using the given data,
Hcomb(C2H2)Hcomb(H2)=1300241.8 = 5.3761

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