In an adiabatic expansion of air (assume it a mixture of `N_2` and `O_2`), the volume increases by `5%`. The percentage change in pressure is:

Answer

7

Explanation

`:. PV^(gamma)=`const.
`P_(1)xx[(105V)/100]^(gamma)`=const.
`:. (P_(1))/Pxx[105/100]^(gamma)`
or `(P_(1))/P=[100/105]^(gamma)`
or `(P_(1))/P=[100/105]^(7//5)`
`:. P_(1)=0.93 P :. 7%` decrease in `P`