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Thermodynamics ...

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  • Question 1
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    Select correct statement.

  • Question 2
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    An ideal monoatomic gas undergoes a process in which its internal energy U and density $$\rho$$ vary as $$U\rho\, =\, constant.$$ The ratio of change in internal energy and the work done by the gas is

  • Question 3
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    Heat of reaction for the reaction is:


    $$PCl_5(g)+H_2O(g)\longrightarrow POCl_3(g)+2HCl(g)$$

    Given that,
    $$P_{white} + (3/2)Cl_2(g) +\frac{1}{2}O_2(g)\longrightarrow POCl_3; \:  \Delta H=-135.5 \:kcal$$
       
    $$H_2( g ) + Cl_2( g )\longrightarrow +2HCl(g); \:                       \Delta H=-44.1 \:kcal$$

    $$P(w)+(5/2)Cl_2(g)\longrightarrow PCl_5(g); \:                                \Delta H=-89.6 \:kcal$$
     
     $$H_2(g)+\frac{1}{2}O_2(g)\longrightarrow H_2O(g);\:                          \Delta H=-57.8\:kcal$$

  • Question 4
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    The dissolution of 1 mole of NaOH(s) in $$100 \: mole \: of \: H_2O(l)$$ give rise to evolution of heat as -42.34 kJ. However, if1 mole of NaOH(s) is dissolved in $$1000 \:mole \:of \:H_2O(l)$$ the heat given out is 42.76 kJ. 


    If the enthalpy change when $$900 \:mole \:of \:H_2O(l) $$ are added to a solution containing 1 mole of NaOH(s) in $$100 \:mole \:of \:H_2O$$ is $$x$$ $$kJ$$:

  • Question 5
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    The heat measured for a reaction in bomb calorimeter is :

  • Question 6
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    1 gram sample of $$NH_4NO_3$$ is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by 6.12 K. The heat capacity of the system is 1.23 kJ/g-deg. What is the molar heat of decomposition for $$NH_4NO_3$$?

  • Question 7
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    The $$\Delta_f H^{\circ}$$ for $$CO_2 (g), \: CO(g) \: and \: H_2O(g)$$ are $$-393.5, -110.5$$ and $$-241.8 \: kJ \: mol^{-1}$$ respectively. The standard enthalpy change (in kJ) for the reaction is:


    $$CO_2 (g)+ H_2 (g)\longrightarrow CO(g)+ H_2O(g )$$ 

  • Question 8
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    The commercial production of water gas utilize the reaction under standard conditions:


                               $$C+H_2O(g)\longrightarrow  H_2(g)+CO$$

    The heat required for this endothermic reaction may be supplied by adding a limited amount of air and burning some carbon to $$CO_2$$. How many g of carbon must be burnt to $$CO_2$$ to provide enough heat for the water-gas conversion of 100 g carbon? 

    Neglect all heat losses to the environment. Also $$\Delta _fH^{\circ}$$ of CO, $$H_2O(g)$$ and $$CO_2$$ are -110.53, 241.81 and -393.51 kJ/mol respectively.

  • Question 9
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    The enthalpies of formation of $$N_2O$$ and $$NO$$ are $$28$$ and $$90\ kJ mol^{-1}$$ respectively. The enthalpy of the reaction, $$2N_2O(g) +O_2(g)\longrightarrow 4NO(g)$$ is equal to :

  • Question 10
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    Which of the following has the same value as $$\Delta_f H^{ \ominus }$$ , $$CO$$
    a. $$\frac { 1 }{ 2 } \Delta_f H^{ \ominus } (CO_2)$$
    b. $$\frac { 1 }{ 2 } \Delta_c H^{ \ominus } (graphite)$$
    c. $$\Delta_f H^{ \ominus } (CO_2) - \Delta_f H^{ \ominus } (graphite)$$
    d. $$\Delta_c H^{ \ominus } (graphite) - \Delta _c H^{ \ominus } (CO)?$$

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