Chemical Thermodynamics MCQs for NEET — Chemistry Questions with Answers

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An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti is the initial temperature and Tf is the final temperature, which of the following statements is correct ?

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Explanation

In isolated system, the expansion of gas is carried out adiabatically. Since heat exchange between system and surrounding is not possible i.e. q = 0 and secondary wrev is always greater than wirr- therefore for reversible process there must be comparatively higher decreases in internal energy i.e. $ \triangle U $ for reversible process will be more negative. Hence, final temperature in reversible process will be smaller than irreversible process. $ \therefore( T_f ) _{irrev} \gt (T_f)_{rev} $

Identify the correct statement regarding a spontaneous process :

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Explanation

In an isolated system, there is no exchange of energy or matter between the system and surrounding. For a spontaneous process in an isolated system, the change in entropy is positive, i.e. S > 0. Most of the spontaneous chemical reactions are exothermic. A number of endothermic reaction are spontaneous e.g melting of ice (an endothermic process) is a spontaneous reaction. The two factors which are responsible for the spontaneity of process are (i) tendency to acquire minimum energy (ii) tendency to acquire maximum randomness

In conversion of lime–stone to lime, $ CaCO_3(s) \rightarrow CaO(s) + CO_2(g) $ the values of $OH ^\circ $ and $ OS ^\circ $ are $ +179.1 kJ mol ^ {–1} $ and 160.2 J/K respectively at 298 K and 1 bar. Assuming that $OH ^\circ $ and $OS ^ \circ $ do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is :

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Explanation

$ \triangle G ^\circ = \triangle H ^\circ – T \triangle S ^ \circ $ $ for a spontaneous process \triangle G ^ \circ \lt 0 $ $ \triangle H ^ \circ – T \triangle S ^\circ \lt 0$ $ T \triangle S ^ \circ \gt \triangle H ^ \circ $ $ T \gt { \triangle H ^ \circ \over \triangle S ^ \circ } , T \gt { 179.1 \times 1000 \over 160.2 } $ $ T \gt 1117.9 , K \approx 1118 K $ .

For a reversible process at T = 300 K, the volume is increased from $ V_i = 1 L to V_f = 10 L$ . Calculate H if the process is isothermal

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Explanation

For an isothermal process involving an ideal gas, the change in enthalpy (ΔH) is zero. This is because enthalpy is a function of temperature for an ideal gas, and in an isothermal process, the temperature remains constant. Therefore, ΔH = 0.

Assuming that water vapour is an ideal gas, the internal energy change (OU) when 1 mol of water is vapourisedat 1 bar pressure and $ 100 ^\circ C $ , (Given : Molar enthalpy of vapourization of water at 1 bar and $ 373 K = 41 kJ mol ^ {–1} and R = 8.3 J mol ^ {–1} K ^{–1}) $ will be :

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Explanation

$ \triangle U = \triangle H – \triangle nRT $ $ = 41000 – 1 \triangle 8.314 \triangle 373 = 41000 – 3101.122 = 37898.878 J mol ^ {–1} = 37.9 kJ mol ^ { –1} $ .

The standard enthalpy of formation $ (OHf ^ \circ ) $ at 398 K for methane, $ CH_4(g) is 74.8 kJ mol ^ {–1} $ . The additional information required to determine the average energy for C – H bond formation would be.

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Explanation

$ C + 2H_2 \rightarrow CH_4; \triangle H ^\circ = – 74.8 kJ mol ^ {–1} $ In order to calculate average energy for C – H bond formation we should know the followng data. $ C(graphite) \rightarrow C(g); \triangle H f ^ \circ = enthalpy of sublimation of carbon$ $ H_2 (g) \rightarrow 2H(g) ; \triangle H ^\circ bond dissociation energy of H_2 $ .

Standard entropy of $X_2, Y_2 and XY_3$ are $60, 40 and 50 JK^{–1} mol^{–1}$ , respectively. For the reaction,$ 1/2 X_2 + 3/2 Y_2 \rightarrow XY_3 OH = – 30 kJ $ . To be at equilibrium the temperature will be :

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Explanation

$ \triangle S ^\circ reaction = 50 – 1/2 (60) – 3/2 (40) = –40 JK ^ {–1} $ For reaction to be at equilibrium $ \triangle G = 0 $ $ \triangle H – T \triangle S = 0 \Rightarrow T = { \triangle H \over \triangle S } = { 30000 \over 40 } = 750 K $

On the basis of the following thermochemical data : $ (O_ƒG ^\circ H ^+_{(aq)} = 0) $ $H_2O(l) \rightarrow H+ (aq) + OH^– (aq.) ; \triangle H = 57.32 kJ $ $ H_2(g) + O_2(g) \rightarrow H_2O( l); \triangle H = – 286.20 kJ $ The value of enthalpy of formation of $OH^ - ion at 25 ^\circ C $ is :

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Explanation

$ H_2(g) + O_2(g) \rightarrow H_2O (l) \triangle H = –286.20 kJ $ $ \triangle H_r = \triangle H_f (H_2O, l ) – \triangle H_f (H_2 , g) \triangle H_f (O_2 , g) –286.20 = \triangle H_f (H_2O ( l )) $ $ So \triangle H_f (H_2O, l) = –286.20 KJ/mole $ $ H_2O (l) \rightarrow H^+ (aq) + OH^– (aq) \triangle H = 57.32 kJ $ $ \triangle H_r = \triangle H ^\circ f (H^+, aq) + \triangle H ^\circ f(OH–, aq) – \triangle H ^\circ f (H2O, l ) $ $ 57.32 = 0 + \triangle H ^ \circ f (OH^–, aq) – (–286.20) $ $ \triangle H ^\circ f (OH ^ –, aq) = 57.32 – 286.20 = –228.88 kJ. $

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is $CH_3OH(l) + 3/2O2 (g) \rightarrow CO_2(g) + 2H_2O(l) $ . At 298 K, standard Gibb’s energies of formation for $ CH_3OH(l), H_2O(l) and CO_2 (g) are –166.2,–237.2 and –394.4 kJ mol^{–1} $ respectively. If standard enthalpy of combustion of methanol is $ –726kJ mol ^ {–1} $ , efficiency of the fuel cell will be :

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The standard enthalpy of formation of $ NH_3 is – 46.0 kJ mol^{–1} $ . If the enthalpy of formation of $H_2$ from its atoms is $ –436 kJ mol^{–1} $ and that of $ N_2 is –712 kJ mol^{–1} $ , the average bond enthalpy of N – H bond in $NH_3$ is

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Explanation

The average bond enthalpy of N-H bonds in NH3 can be calculated using the formula: ΔHf(NH3) = Σ(Bond enthalpies of reactants) - Σ(Bond enthalpies of products) Given: ΔHf(NH3) = -46 kJ/mol ΔHf(H2 from atoms) = -436 kJ/mol ΔHf(N2 from atoms) = -712 kJ/mol Let x be the bond enthalpy of N-H. The formation of NH3 involves breaking 1/2 N2 and 3/2 H2: ΔH = 1/2(-712) + 3/2(-436) - 3x -46 = -356 - 654 - 3x 3x = -1000 + 46 3x = -1000 + 46 x = 352 kJ/mol.

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