In the reaction $N_2O_{4(g)} \rightarrow 2NO_{2(g)} the pressure of N_2O_4 falls from 0.5 atm to 0.32 atm is 30 minutes, the rate of appearance of NO_{2(g)} $ is
$ 0.012 atm min^{-1} $ $ - { d [N_2 O_4 \over dt } = + { 1 \over 2 } { d [NO_2 ] \over dt }$ $ - { (0.32 - 0.50 ) \over 30 } = 0.006 = { 1 \over 2} {d [NO_2 ] \over dt } $ $ \therefore { d [NO_2] \over dt } = 0.012 atm min^ {-1} $