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Thermodynamics ...

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  • Question 1
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    Calculate $${ \Delta H }/{ kJ }$$ for the following reaction using the listed standard enthalpy of reaction data.
    $$2{ N }_{ 2 }\left( g \right) +5{ O }_{ 2 }\left( g \right) \longrightarrow 2{ N }_{ 2 }{ O }_{ 5 }\left( s \right) $$


    $${ N }_{ 2 }\left( g \right) +3{ O }_{ 2 }\left( g \right) +{ H }_{ 2 }\left( g \right) \longrightarrow 2HN{ O }_{ 3 }\left( aq \right)    ;        \           { \Delta H }/{ kJ }=-414.0$$

    $${ N }_{ 2 }{ O }_{ 5 }\left( s \right) +{ H }_{ 2 }O\left( l \right) \longrightarrow 2HN{ O }_{ 3 }\left( aq \right)                  ;    \       { \Delta H }/{ kJ }=-86.0$$

    $$2{ H }_{ 2 }\left( g \right) +{ O }_{ 2 }\left( g \right) \longrightarrow 2{ H }_{ 2 }O\left( l \right)                     ;      \    { \Delta H }/{ kJ }=-571.6$$

  • Question 2
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    Use the given standard enthalpies of formation to determine the heat of reaction of the following reaction:
             $${ C }_{ 2 }{ H }_{ 5 }OH\left( l\right) +3{ O }_{ 2 }\left( g \right) \longrightarrow 2C{ O }_{ 2 }\left( g \right) +3{ H }_{ 2 }O\left( g \right) $$
    $$\Delta { H }_{ f }^{ }{ C }_{ 2 }{ H }_{ 5 }OH\left( l \right) =-277.7{ kJ }/{ mole }$$
    $$\Delta { H }_{ f }^{ }C{ O }_{ 2 }\left( g \right) =-393.5{ kJ }/{ mole }$$
    $$\Delta { H }_{ f }^{ }{ H }_{ 2 }O\left( g \right) =-241.8{ kJ }/{ mole }$$

  • Question 3
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    0.16 g of methane was subjected to combustion at $$27^{\circ}C$$ in a bomb calorimeter. The temperature of the calorimeter system (including water) was found to rise by $$0.5^{\circ}C$$. 

    Calculate the heat of combustion of methane at constant pressure. The thermal capacity of the calorimeter system is $$17.7 \: kJ \: K^{-1}$$. 
    $$[R = 8.314 \: JK^{-1}\: mol^{-1}]$$.

  • Question 4
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    The enthalpy change for the following process at $${25}^{o}C$$ and under constant pressure at $$1$$ atm are as follows:
    $${CH}_{4}(g)\longrightarrow C(g)+4H(g)$$ $${\Delta}_{r}H=396kcal/mole$$
    $${C}_{2}{H}_{6}(g)\longrightarrow 2C(g)+6H(g)$$ $${\Delta}_{r}H=676kcal/mole$$


    Calculate $$C-C$$ bond energy in $${C}_{2}{H}_{6}$$ and heat formation of $${C}_{2}{H}_{6}(g)$$.

    [Given: $${\Delta}_{sub}C(s)=171.8kcal/mole$$   $$B.E(H-H)=104.1kcal/mole$$]

  • Question 5
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    Use the given bond enthalpy data to estimate the $$\Delta H\left( kJ \right) $$ for the following reaction.
        $$\left( C - H = 414  kJ,   H - Cl = 431  kJ,   Cl - Cl = 243  kJ,   C - Cl = 331  kJ \right) $$.
                    $$C{ H }_{ 4 }\left( g \right) + 4{ Cl }_{ 2 }\left( g \right) \longrightarrow C{ Cl }_{ 4 }\left( g \right) + 4HCl\left( g \right) $$

  • Question 6
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    Caesium chloride is formed according to the following equation:

    $$Cs(s)+0.5{Cl}_{2}(g)\longrightarrow CsCl(s)$$

    The enthalpy of sublimation of $$Cs$$, enthalpy of dissociation of chlorine, ionization energy of $$Cs$$ and electron affinity of chlorine are $$81.2, 243.0, 375.7$$ and $$-348.3kJ$$ $${ol}^{-1}$$. The energy change involved in the formation of $$CsCl$$ is $$388.6\ kJ.{mol}^{-1}$$. Calculate the lattice energy of $$CsCl$$.

  • Question 7
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    Using the data (all values are in $$kJ/mol$$ at $${25}^{o}C$$) given below:

    (i) Enthalpy of polymerization of ethylene$$=-72$$
    (ii) Enthalpy of formation of benzene $$(l)=49$$
    (iii) Enthalpy of vaporization of benzene $$(l)=30$$
    (iv) Resonance energy of benzene $$(l)=-152$$
    (v) Heat of formation of gaseous atoms from the elements in their standard states $$H=218, C=715$$.

    Average bond energy of $$C-H=415$$. Calculate the $$B.E$$ of $$C-C$$ and $$C=C$$.

  • Question 8
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    Use the given standard enthalpies of formation to determine the heat of reaction of the following reaction:  $$TiCL_4(g)+2\:H_2O(g)\rightarrow TiO_2(g)+4\:HCl(g)$$

    $$\Delta H^{\circ}_f\:TiCL_4(g)=-763.2\:kJ/mol$$
    $$\Delta H^{\circ}_f\:TiO_2(g)=-944.7\:kJ/mol$$
    $$\Delta H^{\circ}_f\:H_2O(g)=-241.8\:kJ/mol$$
    $$\Delta H^{\circ}_f\:HCl(g)=-92.3\:kJ/mol$$

  • Question 9
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    A piston filled with 0.04 mole of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0°C. As it does so, it absorbs 207 J of heat. The values of q and W for the process will be :
    [Take : R = 8.314 J / mol K, In 7.5 = 2.01]

  • Question 10
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    A swimmer coming out from a pool is covered with a film of water weighing about 18 g. Calculate the internal energy of vaporisation at 100°C.
    [$$\Delta H_{vap}^o$$ for water at 373 K = 40.66 kJ/mol ]

    The correct option is:

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