*Simulator***Previous Years JEE Advance Questions**

Q. Plots showing the variation of the rate constant (k) with temperature (T) are givenbelow. The plot that follows Arrhenius equation is –

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**Sol.**(A)Arrhenius equation : $\mathrm{k}=\mathrm{Ae}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}}$(taking A and $\mathrm{E}_{\mathrm{a}}$ to be constant, differentiating w.r.t. T)$\frac{\mathrm{d} \mathrm{k}}{\mathrm{d} \mathrm{T}}=\left[\frac{\mathrm{AE}_{\mathrm{a}}}{\mathrm{RT}^{2}}\right] \mathrm{e}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}}$assuming A and $\mathrm{E}_{\mathrm{a}}$ to be constant theoretically, the plot should beButNo such option is given. Now experimentally, A and $\mathrm{E}_{\mathrm{a}}$ both vary with temperature and k increases as T increases and become very large at infinite temperature. Hence option (A) is correct.

Q. The concentration of R in the reaction $\mathrm{R} \rightarrow \mathrm{P}$ was measured as a function of time and the following data is obtained :

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**Sol.**0Zero order reaction because rate is constant with time.Alternative solution : By hit and trial method, assuming the reaction is of zero order, putting given data in integrated expression for zero order.the value of k is same from different data so reaction is zero order reaction.

Q. For the first order reaction$2 \mathrm{N}_{2} \mathrm{O}_{5}(\mathrm{g}) \longrightarrow 4 \mathrm{NO}_{2}(\mathrm{g})+\mathrm{O}_{2}(\mathrm{g})$(A) the concentration of the reactant decreases exponentially with time(B) the half-life of the reaction decreases with increasing temperature.(C) the half-life of the reaction depends on the initial concentration of the reactant.(D) the reaction proceeds to 99.6% completion in eight half-life duration.

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**Sol.**(A,B,D)$\mathrm{A}_{\mathrm{t}}=\mathrm{A}_{0} \mathrm{e}^{-\mathrm{kt}}$for option (D)$\frac{1}{\mathrm{t}_{1 / 2}} \ln \frac{100}{50}=\frac{1}{\mathrm{t}_{99.6 \%}} \ln \frac{100}{0.4}$

Q. An organic compound undergoes first-order decomposition . The time taken for its decomposition to 1/8 and 1/10 of its initial concentration are $$\mathrm{t}_{1 / 8} \text { and } \mathrm{t}_{1 / 10}$$ What is the value of $$\frac{\left[\mathrm{t}_{1 / 8}\right]}{\mathrm{t}_{1 / 10}} \times 10 ?\left(\text { take } \log _{10} 2=0.3\right)$$

**[JEE 2012]**
Q. In the reaction :$$\mathrm{P}+\mathrm{Q} \longrightarrow \mathrm{R}+\mathrm{S}$$the time taken for 75% reaction of P is twice the time taken for 50% reaction of P. Theconcentration of Q varies with reaction time as shown in the figure. The overall order of thereaction is –(A) 2 (B) 3 (C) 0 (D) 1

**[JEE 2013]**
Q. For the elementary reaction $$\mathrm{M} \rightarrow \mathrm{N}$$, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M is(A) 4 (B) 3(C) 2(D) 1

**[JEE 2014]**
Q. In dilute aqueous $$\mathrm{H}_{2} \mathrm{SO}_{4}$$ , the complex diaquodioxalatoferrate(II) is oxidized by $\mathrm{MnO}_{4}^{-}$.For this reaction, the ratio of the rate of change of $$\left[\mathrm{H}^{+}\right]$$ to the rate of change of [MnO4–] is.

**[JEE 2015]**
Q. The % yield of ammonia as a function of time in the reactionIf this reaction is conducted at $\left(P, T_{2}\right)$, with $\mathrm{T}_{2}>\mathrm{T}_{1}$, the % yield of ammonia as a function of time is represented by –

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**Sol.**(B)$\therefore$ % yield will increase in initial stages due to increase in net speedAs time proceeds $\Rightarrow \mathrm{r}_{\mathrm{net}}=\mathrm{k}_{\mathrm{f}}\left[\mathrm{N}_{2}\right]\left[\mathrm{H}_{2}\right]^{3}-\mathrm{k}_{\mathrm{b}}\left[\mathrm{NH}_{3}\right]^{2}$On increasing temp., $\mathrm{k}_{\mathrm{f}} \& \mathrm{k}_{\mathrm{b}}$ increasebut increase of $\mathrm{k}_{\mathrm{b}}$ is moreso % yield will decrease% yield will increase in initial stage due to enhance speed but as time proceeds , final yield is governed by thermodynamics due to which yield decrease since reaction is exothermic

Q. For a first order reaction A(g) 2B(g) + C(g) at constant volume and 300 K, thetotal pressure at the beginning (t = 0) and at time t are P0 and Pt, respectively. Initially, only Ais present with concentration [A]0, and $t_{1 / 3}$ is the time required for the partial pressureof A to reach $1 / 3^{\mathrm{rd}}$ of its initial value. The correct option(s) is (are) :-(Assume that all these gases behave as ideal gases)

**[JEE Advance 2018]****Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...**

**Sol.**(A,D)

Q. Consider the following reversible reaction,$\mathrm{A}(\mathrm{g})+\mathrm{B}(\mathrm{g}) \square \mathrm{AB}(\mathrm{g})$The activition energy of the backward reaction exceeds that of the forward reaction by 2RT $\left(\text { in } \mathrm{J} \mathrm{mol}^{-1}\right)$. If the pre-exponential factor of the forward reaction is 4 times that of the reverse reaction, the absolute value of $\Delta \mathrm{G}^{\theta}$(in J mol–1) for the reaction at 300 K is____.(Given ; ln (2) = 0.7, RT = 2500 J $\mathrm{mol}^{-1}$ at 300 K and G is the Gibbs energy)

**[JEE Advance 2018]**
Management,please read comments so that you can resolve issues.

Hello guys

I’m under the water

Please save me here to much raining

I don’t think management reads comments.If they have read,most of the issues must have been resolved by now.

Dung Ding

2015 jee quetions

Where are 2019 questions and 2018 one question.missed

Where are 2019 questions

Yes

the questions arent very clear .plz try to solve those techinical issues

But the shorting of data is great👍

Many questions are not written properly. They are written in form of coding. Which we do not understand

Nice some were moderate some were nice.

Tnx