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Thermodynamics

Question
CBSEENCH11006175

Comment on:
(i) ∆U is –ve for exothermic reactions and
(ii) ∆U is +ve for endothermic reactions.

Solution
∆U is –ve for exothermic reactions: Heat evolved is equal to the internal energy change when the reaction is carried out at constant volume and constant temperature. For an exothermic reaction, there is an evolution of heat energy and hence the internal energy of products (Up) will become less than the internal energy of the reactants (UR).
 increment straight U space equals space straight U subscript straight P space minus space straight U subscript straight R
because space space space straight U subscript straight P space less than space straight U subscript straight R space space space space space space left square bracket for space exothermic space reaction right square bracket
therefore space space space space increment straight U space equals space minus ve       
 
For example,
    2 NO left parenthesis straight g right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space space 2 NO subscript 2 left parenthesis straight g right parenthesis space plus space 113 space kJ
or space space 2 NO left parenthesis straight g right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space 2 NO 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 space space space space space space space space space space space increment straight U space equals space minus 113 space kJ
            
∆U is +ve for endothermic reactions : Heat absorbed is equal to internal energy, when the reaction is carried out at constant volume and constant temperature. For endothermic reaction, there is an absorption of heat energy and hence internal energy of the product (UP) will become more than the internal energy of the reactant (UR)
increment straight U space equals space straight U subscript straight P space minus space straight U subscript straight R
space because space space space space straight U subscript straight p space greater than space straight U subscript straight R space space space left square bracket For space endothermic space reaction right square bracket
space therefore space space space space space space increment straight U space equals space plus ve
For example,
             space straight N subscript 2 left parenthesis straight g right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space space rightwards arrow space space space space 2 NO left parenthesis straight g right parenthesis space space minus space 180.5 space kJ
or space space space straight N subscript 2 left parenthesis straight g right parenthesis space plus space straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space space 2 NO space 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 increment straight U space equals space plus 180.5 space kJ space space space space space space space space space space space space space space space space space space space space space space space