Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure P_(i) and temperature T_(1)are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T_(2). The final pressure P_(f) is :

Two closed bulbs of equal volume (V) containing an ideal gas initially

1.	Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure P_(i) and temperature T_(1)are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T_(2). The final pressure P_(f) is :
Answer» `p_(i) ((T_(1)T_(2))/(T_(1) + T_(2)))` `2p_(i) ((T_(1))/(T_(1) + T_(2)))` `2 P_(i) ((T_(2))/(T_(1) + T_(2)))` `2 p_(i) ((T_(1) T_(2))/(T_(1) + T_(2)))` Solution :SINCE, vessels are closed `:.` Initial moles `=` FINAL moles `(p_(i)V)/(RT_(1)) + (p_(i) V)/(RT_(1)) = (p_(f) V)/(RT_(2)) + (p_(f)V)/(RT_(1))` `(2p_(i))/(T_(1)) = p_(f) [(1)/(T_(1)) + (1)/(T_(2))]` `p_(f) = 2p_(i) [(T_(2))/(T_(1) + T_(2))]`