For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _________ $$\times$$ 10^$$-$$3 s^$$-$$1. (Round off to the Nearest Integer). [Given : log₁₀2 = 0.301, ln10 = 2.303]

A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min respectively. Starting from an equimolar non reactive mixture of A and B, the time taken for the concentration of A to become 16 times that of B is _________ min. (Round off to the Nearest Integer).

The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $$\times$$ 10^$$-$$3 s^$$-$$1 and the activation energy E_a = 11.488 kJ mol^$$-$$1, the rate constant at 200 K is ____________ $$\times$$ 10^$$-$$5 s^$$-$$1. (Round off to the Nearest Integer). (Given : R = 8.314 J mol^$$-$$1 K^$$-$$1)

If the activation energy of a reaction is 80.9 kJ mol^$$-$$1, the fraction of molecules at 700 K, having enough energy to react to form
products is e^$$-$$x. The value of x is __________. (Rounded off to the nearest integer) [Use R = 8.31 J K^$$-$$1 mol^$$-$$1]