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
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 :
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 :
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?
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
$ 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
$ 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 ?
$ 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 ?
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 :
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. ïS > 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
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