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Consider a reaction $aG + bH \to$ Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is

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answer is D.

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Detailed Solution

Overall order = sum of orders w.r.t each reactant. Let the order be x and y for G and H respectively

Exp.No.	[G]mole litre ^-1	[H]mole litre ^-1	rate(mole ${litre}^{-} {time}^{- 1})$
1	a	b	r
2	2a	2b	8r
3	2a	b	2r

$∵$ For (1) and (3), the rate is doubled when conc. of G is doubled keeping that of H constant i.e.,
$rate \propto [G] ∴ x = 1 From (2) and (3), y = 2 ∴ Overall order is 3 .$

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