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Thermodynamics

Question
CBSEENCH11006187

Explain:
(i) Enthalpy (heat) of the formation.

(ii) Standard enthalpy of formation. How is it helpful in calculating the enthalpy of a reaction?

Solution
Enthalpy of formation: It is the enthalpy (heat) change accompanying the formation of one mole of a compound from its elements. It is denoted by ∆He.g.
left parenthesis straight i right parenthesis space Enthalpy space of space formation space of space CO subscript 2 colon
straight C left parenthesis straight s right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space space space CO subscript 2 left parenthesis straight g right parenthesis semicolon
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left parenthesis ii right parenthesis space Enthalpy space of space formation space of space methane colon
straight C left parenthesis straight s right parenthesis plus 2 straight H subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space CH subscript 4 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 increment straight H subscript straight f left parenthesis CH subscript 4 right parenthesis space equals space minus 74.8 space kJ
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Hence enthalpy of formation of water i.e. ∆H(H2O) = –285.9 kJ
Standard enthalpy of formation: When all the species of the chemical reaction are in their standard states, the enthalpy of formation is called standard enthalpy of formation. It is denoted by ∆fH°. Standard enthalpy of formation of a compound is defined as the enthalpy change accompanying the formation of one mole of a compound from its constituent elements, all the substances being in their standard states (1 bar pressure and 298 K). For example
straight C left parenthesis straight s right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space CO 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 increment subscript straight f straight H to the power of 0 left parenthesis CO subscript 2 right parenthesis space equals space minus 393.5 space kJ
It should be noted that standard enthalpies of elementary substances are taken to be zero.
Calculation of enthalpy of reaction (∆H): By knowing the standard enthalpies of formation of various substances, we can calculate the standard enthalpy change of any reaction.
Standard enthalpy change of reaction = [Standard enthalpies of formation of all products]
                                                             - [Standard enthalpies of formation of all reactants]
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