For a certain reaction A to P,the half-life f | vedclass

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

Question

(NONE) For a reaction of order $n$,the half-life is related to the initial concentration by the relation: $t_{1/2} \propto [A_0]^{1-n}$.Given data:$1$

Vedclass · Accepted Answer

For $[A_0] = 1 \ M$,$t_{1/2} = 25 \ s$

Vedclass · Answer

(NONE) For a reaction of order $n$,the half-life is related to the initial concentration by the relation: $t_{1/2} \propto [A_0]^{1-n}$.Given data:$1$) $[A_0]_1 = 0.1 \ M$,$(t_{1/2})_1 = 100 \ s$$2$) $[A_0]_2 = 0.025 \ M$,$(t_{1/2})_2 = 50 \ s$Taking the ratio: $\frac{(t_{1/2})_1}{(t_{1/2})_2} = \left( \frac{[A_0]_1}{[A_0]_2} \right)^{1-n}$$\frac{100}{50} = \left( \frac{0.1}{0.025} \right)^{1-n}$$2 = (4)^{1-n}$$2 = (2^2)^{1-n} = 2^{2-2n}$Equating exponents: $1 = 2 - 2n \implies 2n = 1 \implies n = 0.5$.Since $n = 0.5$,the reaction is of order $0.5$. None of the provided options $A$ or $B$ are correct. For $n=0.5$,the unit of $k$ is $M^{1-0.5} \ s^{-1} = M^{0.5} \ s^{-1}$. Thus,$D$ is incorrect. Option $C$ is also incorrect based on the calculated order.

$[A_0]$	$0.1 \ M$	$0.025 \ M$
$t_{1/2} \ (s)$	$100 \ s$	$50 \ s$

$Exp.$	$[A]_0$	$[B]_0$	Initial rate
$(1)$	$0.012$	$0.035$	$0.10$
$(2)$	$0.024$	$0.070$	$0.80$
$(3)$	$0.024$	$0.035$	$0.10$
$(4)$	$0.012$	$0.070$	$0.80$

For a certain reaction $A \to P$,the half-life for different initial concentrations of $A$ is mentioned below:
$[A_0]$ $0.1 \ M$ $0.025 \ M$
$t_{1/2} \ (s)$ $100 \ s$ $50 \ s$

Which of the following option$(s)$ is/are correct?

Similar Questions

The data for the reaction $A + B \to C$ is given below. The rate law corresponding to the above data is:

$Exp.$ $[A]_0$ $[B]_0$ Initial rate

$(1)$ $0.012$ $0.035$ $0.10$

$(2)$ $0.024$ $0.070$ $0.80$

$(3)$ $0.024$ $0.035$ $0.10$

$(4)$ $0.012$ $0.070$ $0.80$

The rate law for the reaction,$NO_{2(g)} + CO_{(g)} \rightarrow NO_{(g)} + CO_{2(g)}$ is given as $R = k[NO_2]^2$. What is the order of reaction with respect to $CO$?

Write the general reaction and its rate law.

Rate law for a reaction between $A$ and $B$ is given by $R=k[A]^{n}[B]^{m}$. If concentration of $A$ is doubled and concentration of $B$ is halved from their initial value,the ratio of new rate of reaction to the initial rate of reaction $\left(\frac{r_2}{r_1}\right)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

For a certain reaction $A \to P$,the half-life for different initial concentrations of $A$ is mentioned below:$[A_0]$$0.1 \ M$$0.025 \ M$$t_{1/2} \ (s)$$100 \ s$$50 \ s$Which of the following option$(s)$ is/are correct?