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".]`
the value of `C_(p)of N_(2)and H_(2)O` inthe order `N_(2),H_(2)O` will be : (in cal`deg^(-1)mol^(-1)`

Options

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

Answer

C