For a reaction $$\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}$$ the half lives are $$100 \mathrm{~s}$$ and $$50 \mathrm{~s}$$ when the concentration of reactant $$\mathrm{A}$$ is $$0.5$$ and $$1.0 \mathrm{~mol} \mathrm{~L}^{-1}$$ respectively. The order of the reaction is ______________ . (Nearest Integer)

For the decomposition of azomethane.

CH₃N₂CH₃(g) $$\to$$ CH₃CH₃(g) + N₂(g), a first order reaction, the variation in partial pressure with time at 600 K is given as

The half life of the reaction is __________ $$\times$$ 10^$$-$$5 s. [Nearest integer]

The half life for the decomposition of gaseous compound $$\mathrm{A}$$ is $$240 \mathrm{~s}$$ when the gaseous pressure was 500 Torr initially. When the pressure was 250 Torr, the half life was found to be $$4.0$$ min. The order of the reaction is ______________. (Nearest integer)

For the reaction P $$\to$$ B, the values of frequency factor A and activation energy E_A are 4 $$\times$$ 10¹³ s^$$-$$1 and 8.3 kJ mol^$$-$$1 respectively. If the reaction is of first order, the temperature at which the rate constant is 2 $$\times$$ 10^$$-$$6 s^$$-$$1 is _____________ $$\times$$ 10^$$-$$1 K.

(Given : ln 10 = 2.3, R = 8.3 J K^$$-$$1 mol^$$-$$1, log2 = 0.30)