If a certain mass of gas is made to undergo separately adiabatic and isothermal expansions to the same pressure, starting form the same initial conditions of temperature and pressure, then, as compared to that of isothermal expansion, in the case of adiabatic expansion, the final

Options

A. Volume and temperature will be higher
B. Volume and temperature will be lower
C. Temperature will be lower but the final volume will be higher
D. Volume will be lower but the final temperature will be higher

Answer

B

Explanation

Adiabatic `P,V,T P_(1),V_(a),T`
Isothermal `P,V,T, P_(1),V_(i),T_(i)`
`T_(i) lt T`
Also `PV^(gamma)=P_(1)V_(a)^(gamma)`
`PV=P_(1).V_(i)`
`:. (V)/(V^(gamma))=(V_(i))/(V_(a)^(gamma))`
`:. V_(i) gt V_(a)`