1
JEE Advanced 2018 Paper 2 Offline
Numerical
+3
-0
Consider an electrochemical cell :

$$A\left( s \right)\left| {{A^{n + }}\left( {aq,2M} \right)} \right|{B^{2n + }}\left( {aq,1M} \right)\left| {B\left( s \right).} \right.$$

The value of $$\Delta {H^ \circ }$$ for the cell reaction is twice that of $$\Delta {G^ \circ }$$ at $$300$$ $$K.$$ If the $$emf$$ of the cell is zero, the $$\Delta {S^ \circ }$$ (in $$J\,{K^{ - 1}}mo{l^{ - 1}}$$) of the cell reaction per mole of $$B$$ formed at $$300$$ $$K$$ is ___________.

(Given: $$\ln \left( 2 \right) = 0.7,R$$ (universal gas constant) $$ = 8.3J\,{K^{ - 1}}\,mo{l^{ - 1}}.$$ $$H,S$$ and $$G$$ are enthalpy, entropy and Gibbs energy, respectively.)
Your input ____
2
JEE Advanced 2018 Paper 2 Offline
Numerical
+3
-0
Consider the following reversible reaction, $$A\left( g \right) + B\left( g \right) \to AB\left( g \right).$$

The activation energy of the backward reaction exceeds that of the forward reaction by $$2RT$$ (in $$J\,mo{l^{ - 1}}$$). If the pre-exponential factor of the forward reaction is $$4$$ times that of the reverse reaction, the absolute value of $$\Delta {G^ \circ }$$ (in $$J\,mo{l^{ - 1}}$$ ) for the reaction at $$300$$ $$K$$ is ____________.

(Given; $$\ln \left( 2 \right) = 0.7,RT = 2500$$ $$J\,mo{l^{ - 1}}$$ at $$300$$ $$K$$ and $$G$$ is the Gibbs energy)
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3
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Match each set of hybrid orbitals from LIST - A with complex(es) given in LIST - B

List - A List - B
P. dsp2 1. [FeF6]4-
Q. sp3 2. [Ti(H2O)3Cl3]
R. sp3d2 3. [Cr(NH3)6]3+
S. d2sp3 4. [FeCl4]2-
5. Ni(CO)4
6. [Ni(CN)4]2-

The correct option is
A
$$P - 5;Q - 4,6;R - 2,3;S - 1$$
B
$$P - 5,6;Q - 4;R - 3;S - 1,2$$
C
$$P - 6;Q - 4,5;R - 1;S - 2,3$$
D
$$P - 4,6;Q - 5,6;R - 1,2;S - 3$$
4
JEE Advanced 2018 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Dilution processes of different aqueous solutions, with water, are given in LIST - I. The effects of dilution of the solutions on $$\left[ {{H^ + }} \right]$$ are given in LIST - II

(Note: Degree of dissociation (a) of weak acid and weak base is $$<<1;$$ degree of hydrolysis of salt $$<<1;$$ $$\left[ {{H^ + }} \right]$$ represents the concentration of $${H^ + }$$ ions)

LIST-I LIST-II
P. (10 mL of 0.1 M NaOH + 20 mL of
0.1 M acetic acid) diluted to 60 mL
1. the value of [H+] does not change
on dilution
Q. (20 mL of 0.1 M NaOH + 20 mL of
0.1 M acetic acid) diluted to 80 mL
2. the value of [H+] changes to half
of its initial value on dilution
R. (20 mL of 0.1 M HCL + 20 mL of
0.1 M ammonia solution) diluted to
80 mL
3. the value of [H+] changes to two
times of its initial value on dilution
S. 10 mL saturated solution of Ni(OH)2
in equilibrium with excess solid
Ni(OH)2 is diluted to 20 mL (solid
Ni(OH)2 is still present after dilution).
4. the value of [H+] changes to $${1 \over {\sqrt 2 }}$$
times of its initial value on dilution
5. the value of [H+] changes to $$\sqrt 2 $$
times of its initial value on dilution


Match each process given in LIST-I with one or more effect(s) in LIST-II. The correct option is :
A
$$P - 4;Q - 2;R - 3;S - 1$$
B
$$P - 4;Q - 3;R - 2;S - 3$$
C
$$P - 1;Q - 4;R - 5;S - 3$$
D
$$P - 1;Q - 5;R - 4;S - 1$$
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