$${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}$$

In the above first order reaction the initial concentration of N₂O₅ is 2.40 $$\times$$ 10^$$-$$2 mol L^$$-$$1 at 318 K. The concentration of N₂O₅ after 1 hour was 1.60 $$\times$$ 10^$$-$$2 mol L^$$-$$1. The rate constant of the reaction at 318 K is ______________ $$\times$$ 10^$$-$$3 min^$$-$$1. (Nearest integer)

[Given : log 3 = 0.477, log 5 = 0.699]

If the concentration of glucose (C₆H₁₂O₆) in blood is 0.72 g L^$$-$$1, the molarity of glucose in blood is ____________ $$\times$$ 10^$$-$$3 M. (Nearest integer)

[Given : Atomic mass of C = 12, H = 1, O = 16 u]

Let L be the line of intersection of planes $$\overrightarrow r .(\widehat i - \widehat j + 2\widehat k) = 2$$ and $$\overrightarrow r .(2\widehat i + \widehat j - \widehat k) = 2$$. If $$P(\alpha ,\beta ,\gamma )$$ is the foot of perpendicular on L from the point (1, 2, 0), then the value of $$35(\alpha + \beta + \gamma )$$ is equal to :

Let S_n denote the sum of first n-terms of an arithmetic progression. If S₁₀ = 530, S₅ = 140, then S₂₀ $$-$$ S₆ is equal to: