The volume of a certain mass of gas at a pressure of 5 xx 10 ^(4) Pais doubled adiabatically. What is the final pressure of the gas ? [ gamma = 1.4]

The volume of a certain mass of gas at a pressure of 5 xx 10 ^(4) Pais

1.	The volume of a certain mass of gas at a pressure of 5 xx 10 ^(4) Pais doubled adiabatically. What is the final pressure of the gas ? [ gamma = 1.4]
Answer» <P> Solution :`(V _(2))/(V _(1)) = 2 , P_(1) = 5 xx 10 ^(4) Pa , P_(2) = ?` ` P _(1) V _(1) ^( gamma ) =P_(2) V _(2) ^( gamma)` `P _(2) = P_(1) = ((V _(1))/( V _(2))) = 5 xx 10 ^(4) ((1)/(2)) ^(1.4) = 1. 9 xx 10 ^(4) Pa `