Chemical Thermodynamics

Match List - I with List - II. Given $V_1$ and $V_2$ are initial and final volumes respectively. List - I (Isothermal process): A. Reversible expansion; B. Free expansion; C. Irreversible Compression; D. Cyclic reversible. List - II (Expression): I. $q=0$; II. $q=nRT\ln\dfrac{V_2}{V_1}$; III. $w=-p_{ext}(V_1-V_2)$; IV. $\dfrac{q_{rev}}{T}=0$. Choose the correct answer from the options given below :

Gas 'A' undergoes change from state 'X' to state 'Y'. In this process, the heat absorbed and work done by the gas is 10 J and 18 J respectively. Now gas is brought back to state 'X' by another process during which 6 J of heat is evolved. In the reverse process of 'Y' to 'X',

Given below are two statements: Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure. Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas. In the light of the above statements, choose the correct answer from the options given below

If 3.365 g of ethanol ($l$) is burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The $|\Delta H_f^\circ|$ of ethanol at 298.15 K is ______ $\times10^2$ kJ mol$^{-1}$. (Nearest integer) Given: Standard enthalpy for combustion of graphite $=-393.5$ kJ mol$^{-1}$; Standard enthalpy of formation of water ($l$) $=-285.8$ kJ mol$^{-1}$; Molar mass in g mol$^{-1}$ of C, H, O are 12, 1 and 16 respectively

Consider the following data for the reaction $\mathrm{X_2(g)+Y_2(g)\rightleftharpoons 2XY(g)}$ at 600 K. The $\Delta_rG^\ominus$ (in kJ mol$^{-1}$) for the reaction is : [Table — $\mathrm{XY(g)}$: $\Delta_fH^\ominus_{600\,K}=42$ kJ mol$^{-1}$, $S^\ominus_{600\,K}=200$ J mol$^{-1}$ K$^{-1}$; $\mathrm{X_2(g)}$: 8, 140; $\mathrm{Y_2(g)}$: 80, 250]

The correct order of molar heat capacities measured at 298 K and 1 bar is :

Arrange the following isothermal processes in order of the magnitude of the work (p $-$ V) involved between states 1 and 2. A. Expansion in single stage $w_A$; B. Expansion in multi stages $w_B$; C. Compression in single stage $w_C$; D. Compression in multi stages $w_D$. Choose the correct option.

Consider the reaction $\mathrm{X\rightleftharpoons Y}$ at 300 K. If $\Delta H^\theta$ and K are 28.40 kJ mol$^{-1}$ and $1.8\times10^{-7}$ at the same temperature, then the magnitude of $\Delta S^\theta$ for the reaction in J K$^{-1}$ mol$^{-1}$ is________. (Nearest integer) (Given : R = 8.3 J K$^{-1}$ mol$^{-1}$, ln 10 = 2.3, log 3 = 0.48, log 2 = 0.30)

Consider the reaction $\mathrm{2H_2S(g)+3O_2(g)\to2H_2O(l)+2SO_2(g)}$. The magnitude of enthalpy change for the reaction in kJ mol$^{-1}$ is ______. (Nearest integer) Given : $\Delta_fH^\ominus(\mathrm{H_2S})=-20.1$ kJ mol$^{-1}$, $\Delta_fH^\ominus(\mathrm{H_2O})=-286.0$ kJ mol$^{-1}$, $\Delta_fH^\ominus(\mathrm{SO_2})=-297.0$ kJ mol$^{-1}$

A liquid when kept inside a thermally insulated closed vessel at $25^\circ$C was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters?