Which of the following graphs represent a fir | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) For a first order reaction,the integrated rate equation is $\log(a-x) = -\frac{kt}{2.303} + \log a$. Thus,a plot of $\log(a-x)$ vs $t$ is a straig

Vedclass · Accepted Answer

$(i), (ii), (iii)$

Vedclass · Answer

(D) For a first order reaction,the integrated rate equation is $\log(a-x) = -\frac{kt}{2.303} + \log a$. Thus,a plot of $\log(a-x)$ vs $t$ is a straight line with a negative slope,as shown in $(i)$.For a first order reaction,the half-life is $t_{1/2} = \frac{0.693}{k}$,which is independent of the initial concentration $a$. Thus,a plot of $t_{1/2}$ vs $a$ is a horizontal line,as shown in $(ii)$.For a first order reaction,the rate is $\frac{dx}{dt} = k(a-x)$. Thus,a plot of $\frac{dx}{dt}$ vs $(a-x)$ is a straight line passing through the origin,as shown in $(iii)$.Therefore,graphs $(i), (ii),$ and $(iii)$ represent a first order reaction.

Which of the following graphs represent a first order reaction ($a =$ initial concentration of reactant,$x =$ concentration of reactant consumed,$t =$ time)?

Similar Questions

Time required for $90 \%$ completion of a first order reaction is '$x$' minute. Calculate the time required to complete $99.9 \%$ of the reaction at the same temperature.

The integrated rate equation is $Rt = \log C_0 - \log C_t$. The straight line graph is obtained by plotting

Which one of the following formulas represents a first-order reaction?

For a reaction $A \rightarrow$ product,the rate constant is $2 \times 10^{-2} \ s^{-1}$. The initial concentration of $A$ is $1.0 \ mol \ dm^{-3}$. What is the value of $\log \frac{1}{[A]_{t}}$ after $100 \ s$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module