At and 1 atm pressure, a cylinder is filled with equal number of , and HI molecules for the reaction . The for the process is . The value of x is

Question

At  and 1 atm pressure, a cylinder is filled with equal number of ,  and HI molecules for the reaction . The  for the process is . The value of x is

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Step 1 — Identify the reaction:

, so  (dimensionless).

Step 2 — Calculate  with equal moles:

Equal number of , , and HI molecules at 1 atm total pressure. Let each have  moles. Total = .

atm

Step 3 — Determine :

Since the system is at equilibrium at , .

The question asks for  in the form , where  means .

Answer: Option (4) —

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