The standard free energy change ΔG ° for 50 % dissociation of N 2 O 4 into NO 2 at 27   ° C and 1   atm pressure is - x   J   mol - 1 . The value of x is - . . . . .   J . (Nearest Integer) [Given : R = 8 . 31   J   K - 1   mol - 1 ,   log 1 . 33 = 0 . 1239     ln 10 = 2 . 3 ]

Step-by-step solution

N 2 O 4 g ⇌ 2 NO 2 g 1 - α                       2 α K p = 4 α 2 p 1 - α 2 = 4 × 0 . 5 2 × 1 1 - 0 . 5 2 = 1 0 . 75 K p = 4 3 ΔG o = - 2 . 303   RT   log   K p = - 2 . 3 × 8 . 31 × 300   log   4 3 = - 2 . 3 × 8 . 31 × 300   × 0 . 1239 = - 710   J