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An stoichiometric mixture of hydrogen gas and the air at `25^(@)C` and a total pressure of 1 atm, is exploded in a closed rigid vessel. If the process occurs under adiabatic condition then using the given data answer the question that follow: Given : (i) `C_(P)=8.3" Cal deg"^(-1)" mol"^(-1), (ii) C_(P)=11.3" Cal deg"^(-1)" mol"^(-1), DeltaH_(f) [H_(2)O(g)]= -57.8 kCal` [Take air as `80% N_(2), 20 % O_(2)` by volume] What will be the maximum temperature attained if the process occurs in adiabatic container ?A. ` cong 2937 K`B. `cong 2665 K`C. `cong 1900 K`D. `cong 298 K`

Answer» Correct Answer - A
`C_(V_(N_(2)))=C_(P)-R=8.3-2=6.3`
`C_(V_(H_(2)O))=C_(P)-R=11.3=9.3`
`DeltaU=nC_(V_(N_(2))) (T_(2)-T_(1))+nC_(V_(H_(2)O)) (T_(2)-T_(1))`
`T_(2)=2937 K`


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