Which concentration plot is linear for a first order reaction?

Question

Which concentration plot is linear for a first order reaction? (A)  [A] versus time (B) In [A] versus time (C)  log [A] versus 1/ time (D) Square root of [A] versus time

Tardigrade Admin · Accepted Answer

For first order reaction, [A]=[A]0 e-k t or ln [A]= ln [A]0-k t <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/d92e639bd2f5f8531982b4e4247fb7f4-.png" /> ∴ In A versus time plot is linear for first order reaction.

Q. Which concentration plot is linear for a first order reaction?

$[A]$ versus time

In $[A]$ versus time

$l o g [A]$ versus $1/$ time

Square root of $[A]$ versus time

For first order reaction,
$[A] = [A]_{0} e^{- k t}$ or $ln [A] = ln [A]_{0} - k t$

$∴$ In $A$ versus time plot is linear for first order reaction.

Q. Which concentration plot is linear for a first order reaction?

[A] versus time

In [A] versus time

log[A] versus 1/ time

Square root of [A] versus time

For first order reaction, [A]=[A]0​e−kt or ln[A]=ln[A]0​−kt ∴ In A versus time plot is linear for first order reaction.

$[A]$ versus time

In $[A]$ versus time

$l o g [A]$ versus $1/$ time

Square root of $[A]$ versus time

For first order reaction,
$[A] = [A]_{0} e^{- k t}$ or $ln [A] = ln [A]_{0} - k t$

$∴$ In $A$ versus time plot is linear for first order reaction.