Four moles of an ideal gas at a pressure of 4 atm and at a temperature of `70^(@)C` expands is othermally to four times its initial volume : What is (i) the final temperature and (ii) the final volume ?

Explanation

Initial volume `= V _(1)`
Initial pressure `=P _(1) = 4 atm`
Intial temperature `= T _(1) = 70 + 273 = 343 K`
Final volume = ` V _(2) = 4 V_(1)`
The process is isothermal. So the temperature remains constant
Final pressure `P _(2) = ?`
`P _(2) V _(2) = P _(1) V_(1)`
`P _(2) = (P _(1) V _(1))/( V _(2)) = ( 4 xx V _(1))/( 4 V _(1)) = 1 ` atm