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Thermodynamics

Question
CBSEENCH11006206

What is transition? How is Hess’s law helpful in determining the enthalpy of transition?

Solution
Transition means the conversion of one allotropic form of a substance to another. Hess’s law is very useful in determining the enthalpy changes of those reactions which take place extremely slowly. For example, the transformation of rhombic sulphur to monoclinic sulphur is a very slow process. No direct method is available to determine its enthalpy change. It is calculated by Hess’s law. We aim at the equation,
    straight S subscript straight R space space rightwards arrow space space straight S subscript straight M space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight r straight H to the power of 0 space equals ?
Experimentally it has been found that
 left parenthesis straight i right parenthesis space straight S subscript straight R space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space space rightwards arrow space space space space SO subscript 2 left parenthesis straight g right parenthesis semicolon 
                                                increment subscript straight r straight H to the power of 0 space equals negative 295.10 space kJ
left parenthesis ii right parenthesis space space straight S subscript straight M space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space space SO subscript 2 left parenthesis straight g right parenthesis semicolon space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight r straight H to the power of 0 space equals space minus 296.4 space kJ
Subtracting equation (ii) from (i), we have,
     straight S subscript straight R space minus space straight S subscript straight M space space space space rightwards arrow space space space 0
space space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight r straight H to the power of 0 space equals negative 295.1 space plus space 296.4
or space space space space space space straight S subscript straight R space space space rightwards arrow space space space space straight S subscript straight M space space increment subscript straight r straight H to the power of 0 space space equals space plus 1.3 space kJ.