Explore Exams
Test Series
Live Tests
Prev. Papers
Quizzes
Live Quizzes
Current Affairs
News
Prepp+
GamesLogin / Register
All Exams Test series for 1 year @ ₹349 only
Question
JEE Main
Chemistry

For the thermal decomposition of reactant $\text{AB(g)}$, the following plot is constructed. 

The half life of the reaction is '$x$' min. 

$x = $ ___________ min. (Nearest integer)

The plot shows the concentration of $\text{AB(g)}$ over time. We need to find the half-life ($x$) of the reaction, which is the time it takes for the concentration to reduce to half its initial value.

From the graph:

  • Initial concentration, $[\text{AB}]_0 = 0.6 \text{ M}$
  • Half of initial concentration, $[\text{AB}]_{1/2} = 0.3 \text{ M}$

Looking at the intersection points on the graph:

  • At $[\text{AB}] = 0.6 \text{ M}$, $t = 0 \text{ s}$
  • At $[\text{AB}] = 0.3 \text{ M}$, $t = 100 \text{ s}$

Therefore, the half-life $x = 100 \text{ s}$.

The half-life $x$ falls within the given range, 10 to 10 minutes (600 s), which is 10 minutes when rounded to the nearest integer. Thus,

$x = 10 \text{ min}$

Was this answer helpful?

Similar Questions

  1. X and Y are the number of electrons involved, respectively during the oxidation of $\text{I}^-$ to $\text{I}_2$ and $\text{S}^{2-}$ to S by acidified $\text{K}_2\text{Cr}_2\text{O}_7$. The value of X + Y is ______.
    JEE Main
    Chemistry
    View Answer
  2. Consider two Group IV metal ions $\text{X}^{2+}$ and $\text{Y}^{2+}$.
    A solution containing 0.01 M $\text{X}^{2+}$ and 0.01 M $\text{Y}^{2+}$ is saturated with $\text{H}_2\text{S}$. The pH at which the metal sulphide YS will form as a precipitate is ______. (Nearest integer)
    (Given: $\text{K}_{sp}(\text{XS}) = 1 \times 10^{-22}$ at $25^\circ\text{C}$, $\text{K}_{sp}(\text{YS}) = 4 \times 10^{-16}$ at $25^\circ\text{C}$, $[\text{H}_2\text{S}] = 0.1\text{M}$ in solution, $\text{K}_{a1} \times \text{K}_{a2}(\text{H}_2\text{S}) = 1.0 \times 10^{-21}$, $\log 2 = 0.30$, $\log 3 = 0.48$, $\log 5 = 0.70$)
    JEE Main
    Chemistry
    View Answer
  3. Electricity is passed through an acidic solution of $\text{Cu}^{2+}$ till all the $\text{Cu}^{2+}$ was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is ______ mL. (Nearest integer)
    [Given:
    $\text{Cu}^{2+}\text{(aq)} + 2\text{e}^- \rightarrow \text{Cu(s)} \quad \text{E}^\circ_{\text{red}} = +0.34 \text{ V}$
    $\text{O}_2\text{(g)} + 4\text{H}^+ + 4\text{e}^- \rightarrow 2\text{H}_2\text{O} \quad \text{E}^\circ_{\text{red}} = +1.23 \text{ V}$
    Molar mass of Cu = $63.54 \text{ g mol}^{-1}$
    Molar mass of $\text{O}_2$ = $32 \text{ g mol}^{-1}$
    Faraday Constant = $96500 \text{ C mol}^{-1}$
    Molar volume at STP = 22.4 L]
    JEE Main
    Chemistry
    View Answer
  4. The half-life of ${}^{65}\text{Zn}$ is 245 days. After x days, 75% of original activity remained. The value of $x$ in days is _______. (Nearest integer)
    (Given: $\log 3 = 0.4771$ and $\log 2 = 0.3010$)
    JEE Main
    Chemistry
    View Answer
  5. Molar conductivity of a weak acid HQ of concentration $0.18 \text{ M}$ was found to be $1/30$ of the molar conductivity of another weak acid HZ with concentration of $0.02 \text{ M}$. If $\lambda^\circ_{Q^-}$ happened to be equal with $\lambda^\circ_{Z^-}$, then the difference of the $\text{pK}_a$ values of the two weak acids ($\text{pK}_a\text{(HQ)} - \text{pK}_a\text{(HZ)}$) is _______ (Nearest integer).
    [Given: degree of dissociation ($\alpha$) < < 1 for both weak acids, $\lambda^\circ$ : limiting molar conductivity of ions]
    JEE Main
    Chemistry
    View Answer
  6. The first and second ionization constants of $\text{H}_2\text{X}$ are $2.5 \times 10^{-8}$ and $1.0 \times 10^{-13}$ respectively. The concentration of $\text{X}^{2-}$ in $0.1\text{ M}$ $\text{H}_2\text{X}$ solution is __________ $\times 10^{-15}\text{ M}$. (Nearest Integer)
    JEE Main
    Chemistry
    View Answer
  7. The osmotic pressure of a living cell is $12\text{ atm}$ at $300\text{ K}$. The strength of sodium chloride solution that is isotonic with the living cell at this temperature is __________ $\text{g L}^{-1}$. (Nearest integer)
    Given : $\text{R} = 0.08\text{ L atm K}^{-1}\text{ mol}^{-1}$
    Assume complete dissociation of $\text{NaCl}$
    (Given : Molar mass of $\text{Na}$ and $\text{Cl}$ are $23$ and $35.5\text{ g mol}^{-1}$ respectively.)
    JEE Main
    Chemistry
    View Answer
  8. $MX$ is a sparingly soluble salt that follows the given solubility equilibrium at $298\text{ K}$.
    $\text{MX (s)} \rightleftharpoons \text{M}^+\text{ (aq)} + \text{X}^-\text{ (aq)}; \quad \text{K}_{\text{sp}} = 10^{-10}$
    If the standard reduction potential for $\text{M}^+\text{(aq)} \xrightarrow{+\text{e}^-} \text{M(s)}$ is $\left(\text{E}^\ominus_{\text{M}^+/\text{M}}\right) = 0.79\text{ V}$, then the value of the standard reduction potential for the metal/metal insoluble salt electrode $\text{E}^\ominus_{\text{X}^-/\text{MX (s)}/\text{M}}$ is __________ $\text{mV}$. (nearest integer)
    [Given : $\frac{2.303\text{ RT}}{\text{F}} = 0.059\text{ V}$]
    JEE Main
    Chemistry
    View Answer
  9. For strong electrolyte $\Lambda_{\text{m}}$ increases slowly with dilution and can be represented by the equation $\Lambda_{\text{m}} = \Lambda_{\text{m}}^{\circ} - \text{A}\text{c}^{1/2}$
    Molar conductivity values of the solutions of strong electrolyte AB at $18^{\circ}\text{C}$ are given below :
    $\text{c } [\text{mol L}^{-1}]$$0.04$$0.09$$0.16$$0.25$
    $\Lambda_{\text{m}} \ [\text{S cm}^{2}\text{ mol}^{-1}]$$96.1$$95.7$$95.3$$94.9$

    The value of constant A based on the above data $[\text{in S cm}^{2}\text{ mol}^{-1} / (\text{mol}/\text{L})^{1/2}]$ unit is _________.
    JEE Main
    Chemistry
    View Answer
  10. $\text{A} \longrightarrow \text{B} \text{ (first reaction)}$
    $\text{C} \longrightarrow \text{D} \text{ (second reaction)}$
    Consider the above two first-order reactions. The rate constant for first reaction at $500\text{ K}$ is double of the same at $300\text{ K}$. At $500\text{ K}$, $50\%$ of the reaction becomes complete in $2\text{ hour}$. The activation energy of the second reaction is half of that of first reaction. If the rate constant at $500\text{ K}$ of the second reaction becomes double of the rate constant of first reaction at the same temperature; then rate constant for the second reaction at $300\text{ K}$ is _________ $\times 10^{-1}\text{hour}^{-1}$ (nearest integer).
    JEE Main
    Chemistry
    View Answer

Important Questions from Physical Chemistry

  1. X and Y are the number of electrons involved, respectively during the oxidation of $\text{I}^-$ to $\text{I}_2$ and $\text{S}^{2-}$ to S by acidified $\text{K}_2\text{Cr}_2\text{O}_7$. The value of X + Y is ______.
    JEE Main
    Chemistry
    View Answer
  2. Consider two Group IV metal ions $\text{X}^{2+}$ and $\text{Y}^{2+}$.
    A solution containing 0.01 M $\text{X}^{2+}$ and 0.01 M $\text{Y}^{2+}$ is saturated with $\text{H}_2\text{S}$. The pH at which the metal sulphide YS will form as a precipitate is ______. (Nearest integer)
    (Given: $\text{K}_{sp}(\text{XS}) = 1 \times 10^{-22}$ at $25^\circ\text{C}$, $\text{K}_{sp}(\text{YS}) = 4 \times 10^{-16}$ at $25^\circ\text{C}$, $[\text{H}_2\text{S}] = 0.1\text{M}$ in solution, $\text{K}_{a1} \times \text{K}_{a2}(\text{H}_2\text{S}) = 1.0 \times 10^{-21}$, $\log 2 = 0.30$, $\log 3 = 0.48$, $\log 5 = 0.70$)
    JEE Main
    Chemistry
    View Answer
  3. Electricity is passed through an acidic solution of $\text{Cu}^{2+}$ till all the $\text{Cu}^{2+}$ was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is ______ mL. (Nearest integer)
    [Given:
    $\text{Cu}^{2+}\text{(aq)} + 2\text{e}^- \rightarrow \text{Cu(s)} \quad \text{E}^\circ_{\text{red}} = +0.34 \text{ V}$
    $\text{O}_2\text{(g)} + 4\text{H}^+ + 4\text{e}^- \rightarrow 2\text{H}_2\text{O} \quad \text{E}^\circ_{\text{red}} = +1.23 \text{ V}$
    Molar mass of Cu = $63.54 \text{ g mol}^{-1}$
    Molar mass of $\text{O}_2$ = $32 \text{ g mol}^{-1}$
    Faraday Constant = $96500 \text{ C mol}^{-1}$
    Molar volume at STP = 22.4 L]
    JEE Main
    Chemistry
    View Answer
  4. The half-life of ${}^{65}\text{Zn}$ is 245 days. After x days, 75% of original activity remained. The value of $x$ in days is _______. (Nearest integer)
    (Given: $\log 3 = 0.4771$ and $\log 2 = 0.3010$)
    JEE Main
    Chemistry
    View Answer
  5. Molar conductivity of a weak acid HQ of concentration $0.18 \text{ M}$ was found to be $1/30$ of the molar conductivity of another weak acid HZ with concentration of $0.02 \text{ M}$. If $\lambda^\circ_{Q^-}$ happened to be equal with $\lambda^\circ_{Z^-}$, then the difference of the $\text{pK}_a$ values of the two weak acids ($\text{pK}_a\text{(HQ)} - \text{pK}_a\text{(HZ)}$) is _______ (Nearest integer).
    [Given: degree of dissociation ($\alpha$) < < 1 for both weak acids, $\lambda^\circ$ : limiting molar conductivity of ions]
    JEE Main
    Chemistry
    View Answer
Need Expert Advice?
More Questions from JEE Main
1)

Let S be the set of the first 11 natural numbers. Then the number of elements in $A = \{B \subseteq S : n(B) \geq 2$ and the product of all elements of B is even is ________.

2)

Let $\cos(\alpha + \beta) = -\frac{1}{10}$ and $\sin(\alpha - \beta) = \frac{3}{8}$, where $0 < \alpha < \frac{\pi}{3}$ and $0 < \beta < \frac{\pi}{4}$. If $\tan 2\alpha = \frac{3(1 - r\sqrt{5})}{\sqrt{11}(s + \sqrt{5})}, r, s \in \mathbb{N}$, then $r+s$ is equal to ________.

3)
The number of $3 \times 2$ matrices A, which can be formed using the elements of the set $\{-2, -1, 0, 1, 2\}$ such that the sum of all the diagonal elements of $A^T A$ is 5, is ______
4)
Let a line L passing through the point $P(1, 1, 1)$ be perpendicular to the lines $\frac{x-4}{4} = \frac{y-1}{1} = \frac{z-1}{1}$ and $\frac{x-17}{1} = \frac{y-71}{1} = \frac{z}{0}$. Let the line L intersect the yz-plane at the point Q. Another line parallel to L and passing through the point $S(1, 0, -1)$ intersects the yz-plane at the point R. Then the square of the area of the parallelogram PQRS is equal to ______.
5)
Let $(2\alpha, \alpha)$ be the largest interval in which the function $f(t) = \frac{|t+1|}{t^2}, t < 0$, is strictly decreasing. Then the local maximum value of the function $g(x) = 2\log_e(x - 2) + \alpha x^2 + 4x - \alpha$, $x > 2$, is ______
6)
Let a differentiable function $f$ satisfy the equation $\int_{0}^{36} f\left(\frac{tx}{36}\right) dt = 4\alpha f(x)$. If $y = f(x)$ is a standard parabola passing through the points (2, 1) and (– 4, $\beta$), then $\beta^\alpha$ is equal to ______.
7)
The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits 0, 1, 2, 5, 9, if the repetition of the digits is allowed, is ______
8)
A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W, is operated at 15 V. The approximate value of protective resistance in this circuit is ______ $\Omega$.
9)
A short bar magnet placed with its axis at $30^\circ$ with an external field of 800 Gauss, experiences a torque of 0.016 N.m. The work done in moving it from most stable to most unstable position is $\alpha \times 10^{-3} \text{ J}$. The value of $\alpha$ is ______.
10)
X and Y are the number of electrons involved, respectively during the oxidation of $\text{I}^-$ to $\text{I}_2$ and $\text{S}^{2-}$ to S by acidified $\text{K}_2\text{Cr}_2\text{O}_7$. The value of X + Y is ______.

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App