3 L mixture of C_2H_6 and C_3H_8 produces 8 | vedclass

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(B) Let the volume of $C_2H_6$ be $x \ L$ and the volume of $C_3H_8$ be $(3-x) \ L$.The combustion reactions are:$C_2H_6 + \frac{7}{2}O_2 \rightarrow

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(B) Let the volume of $C_2H_6$ be $x \ L$ and the volume of $C_3H_8$ be $(3-x) \ L$.The combustion reactions are:$C_2H_6 + \frac{7}{2}O_2 \rightarrow 2CO_2 + 3H_2O$$C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O$From the stoichiometry,$1 \ L$ of $C_2H_6$ produces $2 \ L$ of $CO_2$,and $1 \ L$ of $C_3H_8$ produces $3 \ L$ of $CO_2$.Total volume of $CO_2 = 2(x) + 3(3-x) = 8$.$2x + 9 - 3x = 8$.$-x = -1$.$x = 1 \ L$.

$3 \ L$ mixture of $C_2H_6$ and $C_3H_8$ produces $8 \ L$ of $CO_2$ upon complete combustion. Find the volume of $C_2H_6$ in the mixture.

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