Which oxidizing agent, `O_2, O_3 `or `H_2O_2` , will generate the greatest amount of energy for 1 mole of` H_2(g)`?
`(i) 2H_2(g) + O_2(g) to 2H_2O(g), Delta H=- 483.6 kJ `
`(ii) 3H_2(g) + O_2(g) to 3H_2O(g), DeltaH =-868.2 kJ `
` (iii) H_2(g) + H_2O_2(g) to 2H_2O(g), Delta H =- 347.3 kJ`
Which of the above given reactions will generate the greatest amount of energy on a total mass basis of reactants that may be used in rocket propulsion?

Explanation

To determine which oxidizing agent will generate the greatest amount of energy for 1 mole of \( H_2(g) \), we will analyze the provided reactions and their enthalpy changes.

### Given Reactions:
1. \( 2H_2(g) + O_2(g) \rightarrow 2H_2O(g), \quad \Delta H = -483.6 \, \text{kJ} \)
2. \( 3H_2(g) + O_2(g) \rightarrow 3H_2O(g), \quad \Delta H = -868.2 \, \text{kJ} \)
3. \( H_2(g) + H_2O_2(g) \rightarrow 2H_2O(g), \quad \Delta H = -347.3 \, \text{kJ} \)

### Step 1: Calculate Energy Released per Mole of \( H_2 \)
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