1
JEE Advanced 2022 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
The correct option(s) about entropy (S) is(are)

$[\mathrm{R}=$ gas constant, $\mathrm{F}=$ Faraday constant, $\mathrm{T}=$ Temperature $]$
A
For the reaction, $\mathrm{M}(s)+2 \mathrm{H}^{+}(a q) \rightarrow \mathrm{H}_{2}(g)+\mathrm{M}^{2+}(a q)$, if $\frac{d E_\text{cell}}{d T}=\frac{R}{F}$, then the entropy change of the reaction is $\mathrm{R}$ (assume that entropy and internal energy changes are temperature independent).
B
The cell reaction, $\operatorname{Pt}(s) \mid \mathrm{H}_{2}(g, 1$ bar $)\left|\mathrm{H}^{+}(a q, 0.01 \mathrm{M}) \| \mathrm{H}^{+}(a q, 0.1 \mathrm{M})\right| \mathrm{H}_{2}(g, 1 \mathrm{bar}) \mid \operatorname{Pt}(s)$, is an entropy driven process.
C
For racemization of an optically active compound, $\Delta \mathrm{S}>0$.
D
$\Delta \mathrm{S}>0$, for $\left[\mathrm{Ni}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}+3$ en $\rightarrow\left[\mathrm{Ni}(\mathrm{en})_{3}\right]^{2+}+6 \mathrm{H}_{2} \mathrm{O}$ (where en $=$ ethylenediamine).
2
JEE Advanced 2021 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
An ideal gas undergoes a reversible isothermal expansion from state I to state II followed by a reversible adiabatic expansion from state II to state III. The correct plot(s) representing the changes from state I to state III is (are)

(p : pressure, V : volume, T : temperature, H : enthalpy, S : entropy)
A
B
C
D
3
JEE Advanced 2020 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
In thermodynamics, the p-V work done is given by

$$w = - \int {dV{p_{ext}}}$$

For a system undergoing a particular process, the work done is

$$w = - \int {dV\left( {{{RT} \over {V - b}} - {a \over {{V^2}}}} \right)}$$

This equation is applicable to a
A
system that satisfies the van der Walls' equation of state
B
process that is reversible and isothermal
C
process that is reversible and adiabatic
D
process that is irreversible and at constant pressure
4
JEE Advanced 2019 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Choose the reaction(s) from the following options, for which the standard enthalpy of reaction of equal to the standard enthalpy of formation.
A
2C(g) + 3H2(g) $$\to$$ C2H6(g)
B
2H2(g) + O2(g) $$\to$$ 2H2O(l)
C
$${3 \over 2}$$O2(g) $$\to$$ O3(g)
D
$${1 \over 8}$$S8(s) + O2(g) $$\to$$ SO2(g)
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