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Enthalpy

9 mL of mixt...

Question

(9 mL\) of mixture of methane and ethylene when exploded with $30 m l$ (excess) of Oxygen. After

Cooling the volume was $21.0 m l$ . Further treatment with caustic potash reduced the volume to $7 m l$ .

The amounts of methane and ethylene is the mixture respectively are

A

5ml of CH₄+ 4ml of C₂H₄

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B

4ml of CH₄ + 5ml of C₂H₄

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C

3ml of CH₄ + 6ml of C₂H₄

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D

6ml of CH₄ + 3ml of C₂H₄

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Solution

The correct option is B
4ml of CH₄ + 5ml of C₂H₄

Let the volume of $C H_{4}$ =X ml

Volume of $C_{2} H_{4}$ =(9-x)mL

(i) $V H_{4} + 2 O_{2} \to C O_{2} + 2 H_{2} O$

.x ml 2x mL x ml negligible volume

(ii) $C_{2} H_{4} + 3 O_{2} \to C O_{2} + 2 H_{2} O$

(9-x)mL 3(9-x)mL (9-x)mL

(Volume of after contraction and cooling i.e volume of $O_{2}$ left unused=7ml

Volume of $C O_{2}$ Produced $+ O_{2}$ left un-used=7ml

$∴$ of $C O_{2}$ =21-7=14ml

Total volume of $C O_{2}$ produced from $C H_{4}$ & $C_{2} H_{4}$

=X mL~+~2(9-x) mL=14 mL

Volume of $C H_{4}$ =4mL and that of $C_{2} H_{4}$ =9-x=9-4=5 mL

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