The decomposition of of (g) to (g) + (g) absorbs approximately of energy

CHEMISTRY · Single correct · A Level · Chemistry · Energetics · Energetics

Problem

The decomposition of 1.0 mol1.0\,\text{mol} of N2O\mathrm{N_2O}(g) to N2\mathrm{N_2}(g) + 12 O2\frac{1}{2}\,\mathrm{O_2}(g) absorbs approximately 82 kJ82\,\text{kJ} of energy. To make the overall process as close to thermoneutral as possible, an engineer plans to burn a small amount of a supplemental fuel in the same reactor. Standard molar enthalpies of combustion (kJ mol−1\text{kJ}\,\text{mol}^{-1}) are: H2\mathrm{H_2} (−286-286), CO\mathrm{CO} (−283-283), CH4\mathrm{CH_4} (−890-890), and C\mathrm{C}(graphite) (−394-394). Which option comes closest to canceling the 82 kJ82\,\text{kJ} energy requirement? (a) Burn 0.25 mol0.25\,\text{mol} CO\mathrm{CO} concurrently with each mole of N2O\mathrm{N_2O}. (b) Burn 0.30 mol0.30\,\text{mol} CO\mathrm{CO} concurrently with each mole of N2O\mathrm{N_2O}. (c) Burn 0.10 mol0.10\,\text{mol} CH4\mathrm{CH_4} concurrently with each mole of N2O\mathrm{N_2O}. (d) Burn 0.30 mol0.30\,\text{mol} H2\mathrm{H_2} concurrently with each mole of N2O\mathrm{N_2O}.

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