A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is
Show Hint
- \( \frac{1}{m} \)
- \( m \)
- \( 2.303 m \)
- \( \frac{1}{2.303 m} \)
The Correct Option is B
Solution and Explanation
In a first-order reaction, the instantaneous rate of reaction is given by the equation: \[ \text{Rate} = k [A] \] The slope of the graph at point C represents the rate constant \( k \), and thus, the instantaneous rate is directly related to the slope. The slope \( m \) of the graph represents the rate.
Top Questions on Chemical Kinetics
Rate law for a reaction between $A$ and $B$ is given by $\mathrm{R}=\mathrm{k}[\mathrm{A}]^{\mathrm{n}}[\mathrm{B}]^{\mathrm{m}}$. 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 $\left(\frac{\mathrm{r}_{2}}{\mathrm{r}_{1}}\right)$ is
- JEE Main - 2025
- Chemistry
- Chemical Kinetics
For $\mathrm{A}_{2}+\mathrm{B}_{2} \rightleftharpoons 2 \mathrm{AB}$ $\mathrm{E}_{\mathrm{a}}$ for forward and backward reaction are 180 and $200 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. If catalyst lowers $\mathrm{E}_{\mathrm{a}}$ for both reaction by $100 \mathrm{~kJ} \mathrm{~mol}^{-1}$. Which of the following statement is correct?
- JEE Main - 2025
- Chemistry
- Chemical Kinetics
- Consider an elementary reaction: \[ A(g) + B(g) \rightarrow C(g) + D(g) \] If the volume of the reaction mixture is suddenly reduced to \( \frac{1}{3} \) of its initial volume, the reaction rate will become \( x \) times of the original reaction rate. The value of \( x \) is:
- JEE Main - 2025
- Chemistry
- Chemical Kinetics
- In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are $ t_1 $ and $ t_2 $ (s), respectively. The ratio $ t_1 / t_2 $ will be:
- JEE Main - 2025
- Chemistry
- Chemical Kinetics
- Consider the following statements related to temperature dependence of rate constants. Identify the correct statements,
A. The Arrhenius equation holds true only for an elementary homogeneous reaction.
B. The unit of A is same as that of k in Arrhenius equation.
C. At a given temperature, a low activation energy means a fast reaction.
D. A and Ea as used in Arrhenius equation depend on temperature.
E. When Ea >> RT. A and Ea become interdependent.
Choose the correct answer from the options given below :- JEE Main - 2025
- Chemistry
- Chemical Kinetics
Questions Asked in AP EAMCET exam
- If all the letters of the word MASTER are permuted in all possible ways and words (with or without meaning) thus formed are arranged in dictionary order, then the rank of the word MASTER is:
- AP EAMCET - 2024
- permutations and combinations
- 10 g of a metal (M) reacts with oxygen to form 11.6 g of oxide. What is the equivalent weight of \( M \)?
- AP EAMCET - 2024
- Law Of Chemical Equilibrium And Equilibrium Constant
- Three numbers are chosen at random from 1 to 20. The probability that their sum is divisible by 3 is:
- AP EAMCET - 2024
- Probability
Two concentric thin circular rings of radii 50 cm and 40 cm each, carry a current of 3.5 A in opposite directions. If the two rings are coplanar, the net magnetic field due to the two rings at their centre is:
- AP EAMCET - 2024
- Dual nature of radiation and matter
- \( C_1 \) is the circle with centre at \( (0,0) \) and radius 4, \( C_2 \) is a variable circle with centre at \( (\alpha, \beta) \) and radius 5. If the common chord of \( C_1 \) and \( C_2 \) has slope \( \frac{3}{4} \) and of maximum length, then one of the possible values of \( \alpha + \beta \) is: