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Thermodynamics Test - 56

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Thermodynamics Test - 56
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  • Question 1
    1 / -0
    What can be used in combination with a calorimeter to compare the specific heats of two substances?
    Solution
    Thermometer can be used in combination with a calorimeter to compare the specific heats of two substances. Thermometer will measure the temperature.
  • Question 2
    1 / -0
    Statement 1: The $$\Delta H_{reaction}$$ of a particular reaction can be arrived at by the summation of the $$\Delta H_{reaction}$$ values of two or more reactions that, added together, will give the $$\Delta H_{reaction}$$ of the particular reaction.
    Statement 2: Hess's Law conforms to the First Law of Thermodynamics, which states that the total energy of the universe is a constant.
    Solution
    Statement 1: The $$\displaystyle  \Delta H_{reaction}$$  of a particular reaction can be arrived at by the summation of the $$\displaystyle  \Delta H_{reaction}$$  values of two or more reactions that, added together which give the $$\displaystyle  \Delta H_{reaction}$$ of the particular reaction.
    Statement 2: Hess's Law conforms to the First Law of Thermodynamics, which states that the total energy of the universe is a constant.
    Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.
    Consider following example
    $$\displaystyle C(s)  + \dfrac {1}{2} O_2 (g) \rightarrow CO (g)  \: \: \: \Delta H_{1,  reaction}$$
    $$\displaystyle CO(g)  + \dfrac {1}{2} O_2 (g) \rightarrow CO_2 (g)  \: \: \: \Delta H_{2,  reaction}$$ 
    $$\displaystyle C(s)  + O_2 (g) \rightarrow CO_2 (g) \\ \: \: \: \Delta H_{3,  reaction} = \Delta H_{1,  reaction} + \Delta H_{2,  reaction}$$
  • Question 3
    1 / -0
    The heat of formation of $$CO(g)$$ and $$CO_2(g)$$ are $$\Delta H=-110$$ and $$\Delta H=-393kJmmol^{-1}$$ respectively. What is the heat of reaction$$(\Delta H)$$ (in kJ $$mol^{-1}$$) for the following reaction?
    $$CO(g)+\displaystyle\frac{1}{2}O_2(g)\rightarrow CO_2(g)$$
    Solution
    For $$CO$$,
    $$C+\frac { 1 }{ 2 } { O }_{ 2 }\longrightarrow CO$$ $$\Delta { H }_{ CO }=-110$$

    For $$CO_2$$,
    $$C+ { O }_{ 2 }\longrightarrow CO_2$$ $$\Delta { H }_{ CO_2 }=-393$$

    For the reaction 
    $$CO+\frac { 1 }{ 2 } { O }_{ 2 }\longrightarrow CO_2$$ 
    We will substract equation 1 from equation 2, we get
    $$CO+\frac { 1 }{ 2 } { O }_{ 2 }\longrightarrow CO_2$$ $$\Delta { H }_{ CO_2 }-\Delta { H }_{ CO }=-393-(-110)=-283KJ{mol}^{-1}$$
  • Question 4
    1 / -0
    Calculate the enthalpy , $$\Delta  H$$, for the given reaction using the the given bond energies ?
    $$C_{2}H_{4} + Cl_{2}\rightarrow ClH_{2}C-CH_{2}Cl$$
    Bond energieskJ/ mol
    $$C-C$$$$347$$
    $$C = C$$$$612$$
    $$C-Cl$$$$341$$
    $$C-H$$$$414$$
    $$Cl-Cl$$$$243$$
    Solution
    $$\displaystyle \Delta H^o _{rxn} = \Sigma \Delta H^o _{\text {reactant bonds}} - \Sigma \Delta H^o _{\text {product bonds}} \\ \Delta H^o _{rxn}=  [4\Delta H^o _{C-H}+ \Delta H^o _{C=C}+Cl-Cl] - [\Delta H^o _{C-C}+4\Delta H^o _{C-H}+2\Delta H^o _{C-Cl}]$$ 
    $$\displaystyle \Delta H^o _{rxn} =   [ \Delta H^o _{C=C}+Cl-Cl] - [\Delta H^o _{C-C}+2\Delta H^o _{C-Cl}]$$
    $$\displaystyle \Delta H^o _{rxn} = [612 + 243] - [347 + 2(341)] $$
    $$\displaystyle \Delta H^o _{rxn} =  855-1029$$
    $$\displaystyle \Delta H^o _{rxn} = -174kJ$$
  • Question 5
    1 / -0
    The spontaneity of a reaction is indicated by:
    Solution
    The spontaneity of a reaction is indicated by gibbs free energy change.
    A negative value of gibbs free energy change indicates the reaction is spontaneous. 
    A positive value of gibbs free energy change indicates the reaction is non spontaneous.
    Zero value of gibbs free energy change indicates the reaction is at equilibrium.
  • Question 6
    1 / -0
    The reverse of a spontaneous reaction is ......... .
    Solution
    The revere of a spontaneous reaction is always non-spontaneous.
    According to the second law of thermodynamics, a reaction is spontaneous if the overall entropy or disorder increases. If we go back to our cleaning the house analogy, when our home becomes messy, then the entropy increases. The mess that accumulates is a spontaneous reaction, and as a result, the entropy increases.
  • Question 7
    1 / -0
    What is the necessary condition for the sponataneity of a process?
    Solution
    For spontaneity of any process $$\Delta G<0$$. $$\Delta S$$ need not be necessarily greater than 0.
  • Question 8
    1 / -0
    The important considerations in deciding if a reaction will be spontaneous are :
    Solution
    ΔG=ΔH-TΔS, for a reaction to be spontaneous ΔG, should be negative
    it is guaranteed only if both terms in RHS is negative. therefore ΔH should be negative and ΔS should be positive. Negative ΔH implies exothermic energy and positive  ΔS implies randomness of the product.
  • Question 9
    1 / -0
    What is the value of $$\Delta H$$ for the reaction $$X + 2Y \rightarrow 2Z$$?
    $$ W+X\rightarrow  2Y$$ ;                                  $$\Delta H=-  400 $$ kcal/mol
    $$ 2W + 3X \rightarrow  2Z + 2Y$$  ;                  $$\Delta H=- 150 $$ kcal/mol 
    Solution
    Multiply equation $$\displaystyle  W+X\rightarrow  2Y$$ with $$2$$.

    $$\displaystyle  2W+2X\rightarrow  4Y$$ ;   $$\displaystyle \Delta H=  -400 \times 2 = -800$$ kcal  .....(1)

    $$\displaystyle  2W + 3X \rightarrow  2Z + 2Y$$  $$\displaystyle  \Delta H=   -150$$ kcal .....(2)

    Subtracting equation (1) from equation (2) we get,

    $$\displaystyle  X + 2Y \rightarrow 2Z$$   

    $$\displaystyle  \Delta H= -150 -(-800)=+650$$ kcal
  • Question 10
    1 / -0
    Which of the following drives spontaneous reactions?
    Solution
    Low enthalpy  and high entropy drives spontaneous reactions.
    These leads to negative value of Gibbs free energy change.
    $$\displaystyle \Delta G = \Delta H - T \Delta S$$
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