Chemistry MCQs for NEET — Practice Questions with Answers

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If the bond dissociation energies of $XY, X_2 and Y_2$ (all diatomic molecules) are in the ratio of 1 : 1 : 0.5 and OH for the formation of XY is $ – 200 KJ mol^{–1} $ . The bond dissociation energy of $ X_2$ will be

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Explanation

$ Let the bond dissociation energy of XY, X_2 and Y_2 be x,x and x, KJ/mol respectively,$ $ { 1 \over 2 } X_2 + { 1 \over 2 } Y_2 \rightarrow XY ; \triangle Hf = -200 KJ mol ^ { -1} $ $ \triangle Hreaction = [(sum of bond dissociation energy of all reactants) – (sum of bond dissociation energy ofproduct)] $ $ = \left [ { { 1 \over 2 } \triangle H_ {x2} + { 1 \over 2} \triangle H_ {y2} - \triangle H_ {xy} } \right] = { x \over 2 } + { 0.5 x \over 2 } - x = - 200 $ $ \therefore x = 800 KJ mol ^ { -1} $ Second Method $ XY \rightarrow X_{(g) } + Y \triangle H _{(g)} = a + kJ / mole ; ...(i) $ $ X_2 \rightarrow 2 X \triangle H = a+kJ / mole ......(ii) $ $ Y_2 \rightarrow 2 Y \triangle H = 0.5 a kJ / mole ; ......(iii) $ $ { 1 \over 2} \times (ii) + {1 \over 2} \times (iii) - (i) , gives { 1 \over 2} X_2 + { 1 \over 2 } Y_2 \rightarrow XY ; $

Consider the reaction, $N_2(g) + 3H_2(g) 2NH_3(g)$ ; carried out at constant temperature and pressure. If OH and OU are enthalpy change and internal energy change respectively, which of the following expressions is true ?

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Explanation

$ N_2 + 3H_2 \rightarrow 2 NH_3 $ $ \triangle n = 2 -4 = -2 $ $ \triangle H = \triangle U + \trianglw n RT = \triangle U - 2 RT $ $ \triangle H \lt \triangle U $

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. $

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