A 3 L gas mixture of propane $(C_{3} H_{8})$ and butane $(C_{4} H_{10})$ on complete combustion at 25° C produced $10 L {CO}_{2}$ Assuming constant P and T conditions what was volume of butane present in initial mixture ?

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answer is 1.

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Detailed Solution

$\begin{array}{l} C_{3} H_{8} + O_{2} \to 3 {CO}_{2} + 4 H_{2} O \\ 3 - V \\ C_{4} H_{10} + O_{2} \to 4 {CO}_{2} + 5 H_{2} O \\ 3 (3 - V) + 4 V = 10 \\ V = 1 L \end{array}$

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