Le Chatelier's Principle for Pressure and Temperature Shifts Steps:

• Identify gaseous moles: fewer on right means pressure increase shifts right.
• Determine reaction type: endothermic forward means temperature increase shifts right.
• Apply to each option using standard ΔH knowledge (since not provided).
• Check which satisfies both conditions simultaneously.

Why B is correct:

• Forward decomposition is endothermic (ΔH > 0), so heat addition shifts right; however, moles increase (1 to 2), so pressure shifts left—not both.

Why the others are wrong:

• A: Unbalanced equation; moles decrease (1.5 to 1) for pressure right, but ΔH unknown.
• C: Moles decrease (3 to 2) for pressure right, but forward exothermic (ΔH < 0), so heat shifts left.
• D: Identical to C, same issues.

Not enough information on ΔH for A and to confirm both shifts for any option.

Final answer: Not enough information.