For a first order reaction, A $$ \to $$ P, t_1/2 (half-life) is 10 days The time required for $${1 \over 4}$$^th conversion of A (in days) is : (ln 2 = 0.693,    ln 3 = 1.1)

N₂O₅ decomposes to NO₂ and O₂ and follows first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mmHg to 87.5 mmHg. The pressure of the gaseous mixture after 100 minute at constant temperature will be :

The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is :

(Assume activation energy and preexponential factor are independent of temperature; ln 2 = 0.693; R = 8.314 J mol⁻¹ K⁻¹)

The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reaction B should be Increased from 300 K so that rate doubles if activation energy of the reaction B is twice to that of reaction A.