For a given chemical reaction

$$\gamma$$₁A + $$\gamma$$₂B $$\to$$ $$\gamma$$₃C + $$\gamma$$₄D

Concentration of C changes from 10 mmol dm^$$-$$3 to 20 mmol dm^$$-$$3 in 10 seconds. Rate of appearance of D is 1.5 times the rate of disappearance of B which is twice the rate of disappearance A. The rate of appearance of D has been experimentally determined to be 9 mmol dm^$$-$$3 s^$$-$$1. Therefore, the rate of reaction is _____________ mmol dm^$$-$$3 s^$$-$$1. (Nearest Integer)

If [Cu(H₂O)₄]²⁺ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field splitting energy for [Cu(H₂O)₆]²⁺ will be ____________ $$\times$$ 10^$$-$$21 J. [Nearest Integer]

(Given : h = 6.63 $$\times$$ 10^$$-$$34 Js and c = 3.08 $$\times$$ 10⁸ ms^$$-$$1)

Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is ___________ $$\times$$ 10^$$-$$2 g. (Atomic mass of Br = 80 g/mol) [Nearest Integer]

The value of $$\int\limits_0^\pi {{{{e^{\cos x}}\sin x} \over {(1 + {{\cos }^2}x)({e^{\cos x}} + {e^{ - \cos x}})}}dx} $$ is equal to: