For a reaction between A and B, the initial rate of reaction is measured for various initial concentrations of A and B. The data provided areThe correct statements are

Question

For a reaction between A and B, the initial rate of reaction is measured for various initial concentrations of A and B. The data provided areThe correct statements are

Infinity Learn · Accepted Answer

If the order of reaction w.r.t. A is n and the order of reaction w.r.t. B is m, rate law becomes      Rate $$=k$$[A]n[B]m From $$($$ i $$)$$     $$5$$×$$10$$−$$5=$$[$$0.20$$]n[$$0.30$$]m                                   ………………$$($$ i $$)$$ From (ii)       $$5$$×$$10$$−$$5=$$[$$0.20$$]n[$$0.10$$]m                                      ……………….(ii) From (iii)     $$1$$×$$10$$−$$4=$$[$$0.40$$]n[$$0.05$$]m                                  ……………..$$($$ iii $$)or$$    $$10$$×$$10$$−$$5=$$[$$0.40$$]n[$$0.05$$]mFrom equations (i) and (ii),$$5$$×$$10$$−$$55$$×$$10$$−$$5$$−$$0.200.20n0.300.10m1=(3)m$$⇒(3)0=(3)m$$⇒$$m=0From$$ equations $$(ii) and (iii),$$5$$×$$10$$−$$510$$×$$10$$−$$5=0.200.40n0.100.05m12=12n$$×$$0.100.050$$⇒$$12=12n$$⇒$$121=12n$$⇒$$n=1sOverall$$ order of the reaction   $$=n+m=1+0=1$$

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