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Thermodynamics

Question
CBSEENCH11006280

Calculate increment subscript straight r straight G to the power of 0 for conversion of oxygen to ozone, 3 over 2 straight O subscript 2 left parenthesis straight g right parenthesis space space rightwards arrow space space space space straight O subscript 2 left parenthesis straight g right parenthesis space at space 298 space straight K comma If straight K subscript straight P for this conversation is 2.47 space cross times space 10 to the power of negative 29 end exponent.

Solution

We know, 
       increment straight G degree space equals space minus 2.303 space RT space log space straight K
Here,    
  Here comma space space space straight K equals space 2.47 space cross times space 10 to the power of negative 29 end exponent semicolon
space space space space space space space space space space space straight R space equals space 8.314 space JK to the power of negative 1 end exponent space mol to the power of negative 1 end exponent semicolon space straight T space equals space 298 space straight K
space space space Substituting space the space values comma space we space get space
space space space space space increment straight G to the power of 0 space equals space minus 2.303 space cross times space left parenthesis 8.314 space JK to the power of negative 1 end exponent space mol to the power of negative 1 end exponent right parenthesis space cross times space
space space space space space space space space space space space space space space space space space space space space left parenthesis 298 space straight K right parenthesis space cross times space log space left parenthesis 2.47 space cross times space 10 to the power of negative 29 end exponent right parenthesis
space space space space space space space space space space space space space equals space 163000 space straight J space mol to the power of negative 1 end exponent
space space space space space space space space space space space space space equals 163 space kJ space mol to the power of negative 1 end exponent
space space space