A mixture of hydrogen gas and theortical amount of air at `25^(@)` C and a total pressure of 1atm , is exploded in a closed right vessel . If the process ossurs under adiabatic conditions then using the given data anwer the question that follow :
Given :
`C_(p)(N_(2))and C_(p)(H_(2)O)"are" 8.3 and 11.3 caldeg^(-1)mol^(-1)` not necessarily in the same order.
`DeltaH_(f)[H_(2)O(g)]=-57.8kcal`
`["take air as "80% N_(2),20%O_(2)"by volume".]`
If at a initial temperature `T_(1),(e_(1))` is initial energy and higher final temperature ,`T_(2),E_(2)` is the final internal energy , then which option is true?

Options

A. `E_(1)gtE_(2)`
B. `E_(2)gtE_(1)`
C. `E_(1)=E_(2)`
D. can't be compared from the given data

Answer

c