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Thermodynamics Test - 17

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Thermodynamics Test - 17
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  • Question 1
    1 / -0
    Actual flame temperature is always lower than the adiabatic flame temperature, because there is ______________.
    Solution
    The constant volume adiabatic flame temperature is the temperature that results from a complete combustion process that occurs without any work, heat transfer or changes in kinetic or potential energy. The constant pressure adiabatic flame temperature is the temperature that results from a complete combustion process that occurs without any heat transfer or changes in kinetic or potential energy. Its temperature is lower than the constant volume process because some of the energy is utilized to change the volume of the system (i.e., generate work).
  • Question 2
    1 / -0
    The internal energy of a compressed real gas, as compared to that of the normal gas at the same temperature, is
    Solution
    The internal energy wil be less due to the short range repulsive forces present between the molecules of the real gas.
  • Question 3
    1 / -0
    Two bodies at different temperatures are mixed in a calorimeter. Which of the following quantities remains conserved?
    Solution
    There is no heat lost since the calorimeter is insulated .
    If we consider both the liquids together as one system , then the work done by the system is zero.

    From first law of thermodynamics, 
    $$\Delta U = Q - W$$
    $$\Delta U = 0$$

    Since there is no change in internal energy, the internal energy of the system remains constant.
  • Question 4
    1 / -0
    Hess's law is applicable for the determination of heat of:
    Solution
    Hess's law of constant heat summation deals with the enthalpy change for a chemical reaction. The chemical reaction can involve any chemical change. It may include formation or transition.
  • Question 5
    1 / -0
    Which specific process has negative value of specific heat?
    Solution
    In case of saturated vapors, when a certain quantity of heat is removed, the temperature increases. Hence, the specific heat is negative for saturated vapors.
  • Question 6
    1 / -0
    The Gibbs free energy change for the reaction for which $$\displaystyle \Delta H=-393.4kJ$$ and $$ \Delta S=-2.9{ JK }^{ -1 }{ mol }^{ -1 }$$ at 298K is:
    Solution
    $$\Delta G=\Delta H-T\Delta S$$

    Given, $$\Delta H=-393.4\ kJ/mol$$ and $$\Delta S=-2.9\ JK^{-1}mol^{-1}$$

    $$\Delta G = -393400-298\times 2.9=-392535.8\ J\approx -392\ kJ$$

    Hence, option B is correct.
  • Question 7
    1 / -0
    The internal energy of a gram-molecule of an ideal gas depends on 
    Solution
    The internal energy of an ideal gas is given by the expression : $$U = C_{v}T$$ .
    From the above expression its clear that internal energy depend only on temperature.
  • Question 8
    1 / -0
    Two moles of an ideal gas are compressed isothermally $$\displaystyle \left( { 100 }^{ o }C \right) $$ and reversibly from a pressure of 10 atm to 25 atm. The value of Gibb's free energy change is:
    Solution
    For isothermal reversible process:
    $$\displaystyle { W }_{ rev }=-2.303nRT\log { \left( \dfrac{ { P }_{ 1 } }{ { P }_{ 2 } } \right)  } $$
    $$\displaystyle =-2.303\times 2\times 8.314\times 373\times \log { \left(\dfrac { 10 }{ 25 } \right)  } $$$$\displaystyle =+5684.1 J$$
    $$\displaystyle { W }_{ rev }=+5.684kJ$$
    Since, $$\displaystyle { W }_{ rev }$$ is a measure of free energy,
    i.e., $$\displaystyle \Delta G={ W }_{ rev }={ W }_{ max }$$
    $$\displaystyle \therefore \Delta G=+5.684kJ$$
  • Question 9
    1 / -0
    For a given reaction, $$ \Delta H=35.5\ kJ\ mol^{-1}$$ and $$ \Delta S=83.6\ J\ K^{-1}\ mol^{-1}. The reaction is spontaneous at:
    (Assume that $$ \Delta H$$ and $$ \Delta S$$ so not vary with temperature)
  • Question 10
    1 / -0
    Determine enthalpy change for, $$C_3H_8 (g )+ H_2(g)\longrightarrow C_2H_6(g)+ CH_4 (g)$$ at $$25^{\circ}C$$. using heat of combustion values under standard conditions.
    Compounds
    $$H_2(g)$$
    $$CH_4(g)$$
    $$C_2H_6(g)$$
    $$C_{graphic}$$
    $$\Delta H^{\circ}$$ in kJ/mol
    -285.8
    -890.0
    -1560.0
    -393.5
    The standard heat of formation of $$C_3H_8 (g )$$ is $$-103.8 \: kJ \: mol^{-1}$$.
    Solution
    Given.
               $$H_2(g)+\frac{1}{2}O_2(g)\longrightarrow H_2O(g);  \:                     \Delta H^{\circ}= -285.8 \,kJ$$           ...(i)
               $$CH_4(g)+ 2O_2(g) \longrightarrow CO_2(g)+ 2H_2O(g) \:   \Delta H^{\circ}= -890.0 \,kJ$$           ...(ii)
    $$C_2H_6(g)+ (7/2)O_2(g)\longrightarrow 2CO_2(g)+ 3H_2O(g); \:\Delta H^{\circ}= -1560.0 \,kJ$$         ...(iii)
              $$3C(s)+4H_2(g)\longrightarrow C_3H_8(g);\:                      \Delta H^{\circ}= -103.8\,kJ$$           ...(iv)
                     $$C(s)+ O_2(g)\longrightarrow CO_2(g); \:                     \Delta H^{\circ}= -393.5 \,kJ$$          ... (v)
    By inspection method
    $$5 \times  (i) + 3 \times  (v) - [(ii) + (iii) + (iv)]$$
    $$H_2(g)+ C_3H_8(g) \longrightarrow  CH_4(g)+ C_2H_8(g); \:                              \Delta H^{\circ}= -55.7 \,kJ$$
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