Sure! Let's solve the problem step-by-step.
1. Understand the problem:
- We are given the bond energy of hydrogen gas, which is -433 kJ per mole.
- We need to find the bond dissociation energy for 0.5 moles of hydrogen gas.
2. Identify the bond energy:
- The bond energy of hydrogen gas is given as -433 kJ per mole.
3. Understand the concept:
- Bond energy represents the energy required to break one mole of bonds in a substance. In the case of hydrogen gas (H₂), this energy is given as -433 kJ per mole.
4. Calculate the bond dissociation energy for 0.5 moles:
- If the bond energy for 1 mole is -433 kJ, then for 0.5 moles, it would be half of this value.
5. Perform the calculation:
- Bond dissociation energy = 0.5 moles × -433 kJ per mole
- Bond dissociation energy = -216.5 kJ
6. Choose the correct answer:
- The bond dissociation energy for 0.5 moles of hydrogen gas is -216.5 kJ, but the closest option provided in the question is -216 kJ.
So, the correct answer is:
(C) -216 kJ