JEE Main & Advanced Chemistry Thermodynamics / रासायनिक उष्मागतिकी Question Bank Mock Test - Chemical Thermodynamics

  • question_answer
    The standard heat of formation of \[{{U}_{3}}{{O}_{8}}\] is -853.5 kcal/mol and the standard heat of the reaction \[3U{{O}_{2}}+{{O}_{2}}\to {{U}_{3}}{{O}_{8}}\] is -76.01 kcal. The standard heat of formation of \[U{{O}_{2}}\] is

    A) -1083 kJ \[mo{{l}^{-1}}\]

    B)  -108.3 kJ \[mo{{l}^{-1}}\]

    C)  -10.83 kJ \[mo{{l}^{-1}}\]

    D)  -1.083 kJ \[mo{{l}^{-1}}\]

    Correct Answer: A

    Solution :

    [a] \[3U{{O}_{2}}+{{O}_{2}}\to {{U}_{3}}{{O}_{8}}\] \[\Delta H{}^\circ =\Delta H_{f}^{\circ }({{U}_{3}}{{O}_{8}})-\Delta H_{f}^{\circ }({{O}_{2}})-3\Delta H_{f}^{\circ }(U{{O}_{2}})\] \[\Rightarrow 3\Delta H_{f}^{\circ }(U{{O}_{2}})=-\Delta H_{f}^{\circ }+\Delta H_{f}^{\circ }({{U}_{3}}{{O}_{8}})-\Delta H_{f}^{\circ }({{O}_{2}})\] or \[\Delta H_{f}^{\circ }(U{{O}_{2}})=\frac{-(-76.0)+(-853.5)-0}{3}\]


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