1
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Morning Slot

If a reaction follows the Arrhenius equation, the plot ln k vs $${1 \over {\left( {RT} \right)}}$$ gives straight line with a gradient ($$-$$ y) unit.

The energy required to active the reactant is :
A
y unit
B
y/R unit
C
yR unit
D
$$-$$y unit

Explanation

According to Arrhenius equation,
k = A$${e^{ - {{{E_a}} \over {RT}}}}$$

or ln k = ln A - $${{{{E_a}} \over {RT}}}$$

Comparing the above equation with straight line equation,

y = mx + c,

we get, slope or gradient (m) = –Ea
and Intercept (c) = ln A

Also given that slope or gradient (m) = -y

$$ \therefore $$ -y = –Ea

$$ \Rightarrow $$ Ea = y

So the activation energy of the reactant, Ea = y unit
2
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Evening Slot

$$\underline A \,\,\buildrel {4KOH,{O_2}} \over \longrightarrow \,\,\mathop {2\underline B }\limits_{\left( {Green} \right)} \,\, + \,\,2{H_2}O$$

$$3\underline B \,\,\buildrel {4HCl} \over \longrightarrow \,\,\mathop {2\underline C }\limits_{\left( {Purple} \right)} \,\, + \,\,Mn{O_2} + 2{H_2}O$$

$$2\underline C \,\,\buildrel {{H_2}O.KI} \over \longrightarrow \,\,\mathop {2\underline A }\limits_{\left( {Purple} \right)} \,\, + \,\,2KOH\,\, + \,\,\underline D $$

In the above sequence of reactions, $${\underline A }$$ and $${\underline D }$$, respectively, are :
A
Kl and KMnO4
B
Kl and K2MnO4
C
KlO3 and MnO2
D
MnO2 and KlO3

Explanation

$$Mn{O_2}(A) \,\,\buildrel {4KOH,{O_2}} \over \longrightarrow \,\,\mathop {2K_2MnO_4(B) }\limits_{\left( {Green} \right)} \,\, + \,\,2{H_2}O$$

$$3K_2MnO_4(B) \,\,\buildrel {4HCl} \over \longrightarrow \,\,\mathop {2K_2MnO_4(C) }\limits_{\left( {Purple} \right)} \,\, + \,\,Mn{O_2} + 2{H_2}O$$

$$2K_2MnO_4(C) \,\,\buildrel {{H_2}O.KI} \over \longrightarrow \,\,\mathop {2 Mn{O_2}(A) }\limits_{\left( {Purple} \right)} \,\, + \,\,2KOH\,\, + \,\,KIO_3(D) $$

$$ \therefore $$ A $$ \to $$ MnO2

D $$ \to $$ KIO3
3
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 11th January Evening Slot

The reaction 2X $$ \to $$ B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h. When the initial concentration of X is 0.5 M, the time required to reach its final concentration of 0.2 M will be:
A
18.0 h
B
9.0 h
C
7.2 h
D
12.0 h

Explanation

For zero order reaction,

t1/2 = $${{{a_0}} \over {2k}}$$

$$ \Rightarrow $$ k = $${{{a_0}} \over {2{t_{1/2}}}}$$ = $${{0.2} \over {2 \times 6}}$$ = 1.67 $$ \times $$ 10-2 mol L–1h–1

For zero order reaction,

A0 - At = kt

$$ \Rightarrow $$ 0.5 - 0.2 = 1.67 $$ \times $$ 10-2 t

$$ \Rightarrow $$ t = $${{0.3} \over {1.67 \times {{10}^{ - 2}}}}$$ = 18 h
4
MCQ (Single Correct Answer)

JEE Main 2019 (Online) 12th January Morning Slot

Decomposition of X exhibits a rate constant of 0.05 $$\mu $$g/year. How many year are required for the decomposition of 5$$\mu $$g of X into 2.5 $$\mu $$g?
A
50
B
20
C
25
D
40

Explanation

According to unit of rate constant it is a zero order reaction, then half life of zero order reaction.

t1/2 = $${{{a_0}} \over {2k}} = {5 \over {2 \times 0.05}}$$ = 50 years

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