Final answer:
The total moles at equilibrium for the dissociation of PCl₅ into PCl₃ and Cl₂ with a 30% degree of dissociation, starting with 1 mole of PCl₅, is 1.3 moles. The correct answer is (a) 1.3.
Step-by-step explanation:
The question asks for the total moles at equilibrium after the dissociation of PCl₅ into PCl₃ and Cl₂, with a degree of dissociation of 30%. If the initial moles of PCl₅ is one, we can calculate the moles of PCl₃ and Cl₂ produced, as well as the remaining moles of PCl₅ at equilibrium using the degree of dissociation.
For PCl₅ dissociating into PCl₃ and Cl₂:
PCl₅ → PCl₃ + Cl₂
Initial moles: 1----0----0
Change in moles: -0.3---+0.3---+0.3
Moles at equilibrium: 0.7---0.3---0.3
Therefore, the total moles at equilibrium = moles of PCl₅ + moles of PCl₃ + moles of Cl₂ = 0.7 + 0.3 + 0.3 = 1.3. So the correct answer is (a) 1.3.