Match the transformations in column $I$ with appropriate options in column $II$.
Column $I$ Column $II$
$A$. $CO_{2(s)} \rightarrow CO_{2(g)}$ $p$. phase transition
$B$. $CaCO_{3(s)} \rightarrow CaO_{(s)} + CO_{2(g)}$ $q$. allotropic change
$C$. $2H_{(g)} \rightarrow H_{2(g)}$ $r$. $\Delta H$ is positive
$D$. $P_{(\text{white, solid})} \rightarrow P_{(\text{red, solid})}$ $s$. $\Delta S$ is positive
$t$. $\Delta S$ is negative

  • A
    $A$ $\rightarrow p, r, s; B$ $\rightarrow r, s; C$ $\rightarrow t; D$ $\rightarrow p, q, t$
  • B
    $A$ $\rightarrow p, r, t; B$ $\rightarrow p, q; C$ $\rightarrow s; D$ $\rightarrow p, r, s$
  • C
    $A$ $\rightarrow p, q, r; B$ $\rightarrow p, s; C$ $\rightarrow p; D$ $\rightarrow p, q, r$
  • D
    $A$ $\rightarrow r, s, t; B$ $\rightarrow r, t; C$ $\rightarrow r; D$ $\rightarrow p, s, t$

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What is the enthalpy of vaporization of ethanol in $kJ/mol$? Given: boiling point $(b.p.)$ = $79.5 \, ^\circ C$ and entropy change $(\Delta S_{vap})$ = $109.8 \, J K^{-1} mol^{-1}$.

One mole of an ideal monoatomic gas undergoes two reversible processes ($A \rightarrow B$ and $B \rightarrow C$) as shown in the given figure:
$A \rightarrow B$ is an adiabatic process. If the total heat absorbed in the entire process ($A \rightarrow B$ and $B \rightarrow C$) is $R T_2 \ln 10$,the value of $2 \log V_3$ is . . . . . [Use,molar heat capacity of the gas at constant pressure,$C_{p, m} = \frac{5}{2} R$ ]

The temperature of $1 \ mol$ of an ideal gas is increased by $2 \ ^oC$ at constant pressure. The work done is:

Match the thermodynamic processes given under Column $I$ with the expression given under Column $II$:
Column $I$ Column $II$
$A$. Freezing of water at $273 \ K$ and $1 \ atm$ $P$. $q=0$
$B$. Expansion of $1 \ mol$ of an ideal gas into a vacuum under isolated conditions $Q$. $w=0$
$C$. Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container $R$. $\Delta S_{sys} < 0$
$D$. Reversible heating of $H_{2(g)}$ at $1 \ atm$ from $300 \ K$ to $600 \ K$,followed by reversible cooling to $300 \ K$ at $1 \ atm$ $S$. $\Delta U=0$
  $T$. $\Delta G=0$

Consider the following data for the reaction $X_2(g) + Y_2(g) \rightleftharpoons 2XY(g)$ at $600 \ K$. The $\Delta_r G^\circ$ (in $kJ \ mol^{-1}$) for the reaction is:
Compound $\Delta_f H^\circ$ $(kJ \ mol^{-1})$ $S^\circ$ $(J \ mol^{-1} \ K^{-1})$
$XY(g)$ $42$ $200$
$X_2(g)$ $8$ $140$
$Y_2(g)$ $80$ $250$

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