Coefficients Party, Part 8

Chemistry Level 1

When liquid octane \((\ce{C_8H_{18}})\) combusts, it forms carbon dioxide and water vapor. The reaction can be modeled by the following, where \(\alpha,\) \(\beta,\) \(\gamma,\) and \(\delta\) are positive coprime integers, \[\alpha\ \ce{ C_8{H}_{18}}(l)+\beta\ \ce{ O_2}(g)\rightarrow \gamma \ \ce{ CO_2}(g)+\delta\ \ce{ H_2O}(g)\] Find \(\alpha+\beta+\gamma+\delta.\)

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