Assuming ideal behaviour, the magnitude of log   K for the following reaction at 25 ° C is x × 10 - 1 . The value of x is __________. (Integer answer) 3 HC ≡ CH ( g ) ⇌ C 6 H 6 ( l ) [Given: Δ f G ° HC ≡ CH = - 2 . 04 × 10 5   J   mol - 1 ;   Δ f G ° C 6 H 6 = - 1 . 24 × 10 5   J   mol - 1 ;   R = 8 . 314   J   K -

Step-by-step solution

3 HC ≡ CH g → C 6 H 6 ℓ :   ΔG 0 = - RT   ln   K ΔG f 0 - 2 . 04 × 10 5 J mol - 1 . 24 × 10 5   J / mol ⇒     ΔG 0 = Σ ΔG f 0 P - Σ ΔG f 0 R ⇒   - RTℓnK = 1 × - 1 . 24 × 10 5 - - 3 × 2 . 04 × 10 5 ⇒   - 2 . 303 × R × T   log   K = 4 . 88 × 10 5 ⇒     log   K = - 4 . 88 × 10 5 2 . 303 × R × T = - 488000 5705 . 8