Number of Correct statement(s) regarding the following first-order reaction is/are 2N2O5g→4NO2g+O2gA) The concentration of the reactant decreases exponentially with timeB) The half life of the reaction decreases with increasing temperature C) The half life of the reaction depends on the initial concentration of the reactant.D) The reaction proceeds to 99.6% completion in eight half life cycles.

According to first – order reaction, −dN2O5/dt=kN2O5 . The half life can be found as t=2.303klogaa−x where, a = 100 and a−x=100−99.6=0.4Then half-life period for first-order reaction is t12=In2k=0.693k.  With temperature, k increases (according to Arrhenius equation) and hence, t1/2 decreases. ( t1/2 is indirectly proportional to k),If the reaction completes to 99.6% completion then,t99.6=2.303klog1000.4=2.303k2.4=8×0.693k=8t1/2