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 ?

An stoichiometric mixture of hydrogen gas and the air at 25^(@)C and a

1.	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 ?
Answer» <P>` cong 2937 K` `cong 2665 K` `cong 1900 K` `cong 298 K` Solution :`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`