Decomposition of nitrogen pentoxide is known | vedclass

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(D) Since the given reaction is a first-order reaction,its half-life $(t_{1/2})$ remains constant.For a first-order reaction,$75\%$ decomposition occu

Vedclass · Accepted Answer

About $3\%$

Vedclass · Answer

(D) Since the given reaction is a first-order reaction,its half-life $(t_{1/2})$ remains constant.For a first-order reaction,$75\%$ decomposition occurs in two half-lives $(2 	imes t_{1/2})$.Given that $75\%$ decomposition takes $24 \ minutes$,we have $2 	imes t_{1/2} = 24 \ minutes$,so $t_{1/2} = 12 \ minutes$.An hour is $60 \ minutes$,which corresponds to $60 / 12 = 5$ half-lives.The amount of reactant remaining after $n$ half-lives is given by $(1/2)^n 	imes 100\%$.For $n = 5$,the remaining amount is $(1/2)^5 	imes 100\% = (1/32) 	imes 100\% = 3.125\%$.Time $(minutes)$Remaining Amount $(\%)$$0$$100$$12$$50$$24$$25$$36$$12.5$$48$$6.25$$60$$3.125$Thus,the amount of oxide left is approximately $3\%$.Hence,Option $D$ is the correct answer.

Decomposition of nitrogen pentoxide is known to be a first order reaction. $75\%$ of the oxide had decomposed in the first $24 \ minutes$. At the end of an hour,after the start of the reaction,the amount of oxide left will be

Similar Questions

The reaction $A \rightarrow B$ follows first-order kinetics. If it takes $1 \text{ hour}$ to convert $0.8 \text{ mol}$ of $A$ to $0.6 \text{ mol}$ of $B$,how many hours will it take to convert $0.9 \text{ mol}$ of $A$ to $0.675 \text{ mol}$ of $B$?

In a $1^{st}$ order reaction,$75\%$ of the reactant is consumed in $1.388 \, h$. Find the rate constant of the reaction.

For a first order reaction, the half-life is $5 \text{ hour}$. What time is required to reduce $10 \text{ g}$ of reactant to $2.5 \text{ g}$ (in $\text{ hour}$)?

Which of the following is the slope of the graph of rate versus concentration of the reactant for a first-order reaction?

Assertion : For a first order reaction,$t_{1/2}$ is independent of initial concentration.
Reason : For a first order reaction,rate constant $k \propto [R]$.

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