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Question: Calculate \(\Delta G ^ { \circ }\)for conversion of oxygen to ozone \(K _ { p }\)for this conversion...

Calculate ΔG∘\Delta G ^ { \circ }for conversion of oxygen to ozone KpK _ { p }for this conversion is 2.47×10−292.47 \times 10 ^ { - 29 }.

A

163 kJ mol−1163 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

B

2.4×102 kJ mol−12.4 \times 10 ^ { 2 } \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

C

1.63 kJ mol−11.63 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

D

2.38×106 kJ mol−12.38 \times 10 ^ { 6 } \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

Answer

163 kJ mol−1163 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

Explanation

Solution

As we know that, ΔGo=−2.303RTlog⁡Kp\Delta G ^ { o } = - 2.303 R T \log K _ { p }

Therefore, ΔGo=−2.303×(8.314)×(298)\Delta G ^ { o } = - 2.303 \times ( 8.314 ) \times ( 298 )

(log⁡2.47×10−29)\left( \log 2.47 \times 10 ^ { - 29 } \right)

=163KJmol−1= 163 \mathrm { KJ } \mathrm { mol } ^ { - 1 }