Chemical Thermodynamics MCQs for NEET — Chemistry Questions with Answers

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$ OG^\circ $ for the reaction $ x + y \rightarrow z $ is – 4.606 kcal. The value of equilibrium constant of the reaction at $ 227 ^\circ C $ is : $ (R = 2.0 cal K^{–1} mol{–1} ) $

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Explanation

To find the equilibrium constant (K) for the reaction, we use the relationship between the standard Gibbs free energy change ($ riangle G^ ext{°}$) and the equilibrium constant (K): $$ riangle G^ ext{°} = -RT ext{ln}(K)$$ Given: $$ riangle G^ ext{°} = -4.606 ext{ kcal} = -4606 ext{ cal}$$ $$T = 227^ ext{°C} = 227 + 273 = 500 ext{ K}$$ $$R = 2.0 ext{ cal K}^{-1} ext{ mol}^{-1}$$ Substituting these values into the equation, we get: $$-4606 = -2.0 imes 500 imes ext{ln}(K)$$ Solving for K: $$ ext{ln}(K) = rac{4606}{2.0 imes 500} = 4.606$$ $$K = e^{4.606} hickapprox 100$$ Therefore, the equilibrium constant (K) is approximately 100.

The latent heat of vaporisation of a liquid at 500 K and 1 atm pressure is 10 kcal/mol. What will be the change in internal energy (OE) of 3 moles of liquid at the same temperature?

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The work done in ergs for a reversible expansion of one mole of an ideal gas from a volume of 10 litres at $25 ^\circ C $ is :

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Reaction, $ H_2(g) + I_2 (g) \rightarrow 2HI; \triangle H = 12.40 kcal $ . According to this, heat of formation of HI will be

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Explanation

The given reaction is H_2(g) + I_2(g) → 2HI with ΔH = 12.40 kcal. This means that the formation of 2 moles of HI releases 12.40 kcal. Therefore, the heat of formation of 1 mole of HI is half of this value, which is 12.40 kcal / 2 = 6.20 kcal. Hence, the correct option is 6.20 kcal.

The heat of combustions of yellow phosphorus and red phosphorus are – 9.91 kJ and – 8.78 kJ respectively. The heat of transition of yellow phosphorus to red phosphorus is :

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The heat of formation of CO(g) and CO2 (g) are – 26.4 kcal and – 94.0 kcal respectively. The heat of combustion of carbon monoxide will be :

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Explanation

The heat of combustion of carbon monoxide (CO) to carbon dioxide (CO_2) can be determined by subtracting the heat of formation of CO from the heat of formation of CO_2: ext{ΔH}_{combustion} = -94.0 ext{ kcal} - (-26.4 ext{ kcal}) = -67.6 ext{ kcal}. Therefore, the correct option is -67.6 kcal.

The heats of combustion of rhombic and monoclinic sulphur are – 70960 and – 71030 calorie respectively. What will be the heat of conversion of rhombic sulphur to monoclinic sulphur?

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Explanation

The heat of conversion ( ext{ΔH}{conversion}) from rhombic sulphur to monoclinic sulphur is calculated by subtracting the heat of combustion of rhombic sulphur from the heat of combustion of monoclinic sulphur: ext{ΔH}{conversion} = -71030 ext{ cal} - (-70960 ext{ cal}) = 70 ext{ cal}. Therefore, the correct option is 70 cal.

An ideal gas expands in volume from $ 1 \times 10^{–3} m^3 to 1 \times 10^ { –2} m^ 3 $ at 300 K against a constant pressure of $ 1 \times 10^5 Nm^{–2} $ . The work is

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Explanation

$ W = – P \triangle V $ $ = – 1 \times 105 (1 \times 10^ {–2} – 1 \times 10 ^ {–3} ) = – 1 \times 10 ^ 5 \times 9 \times 10 ^ {–3} = – 900 J $ .

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 $

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