Two closed bulb of euqal volume (V) containing an ideal gas initially at pressure p_(i) and TemperatureT_(1) are connectedthrough a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then released to T_(2). The final pressure p_(t) is :

Two closed bulb of euqal volume (V) containing an ideal gas initially

1.	Two closed bulb of euqal volume (V) containing an ideal gas initially at pressure p_(i) and TemperatureT_(1) are connectedthrough a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then released to T_(2). The final pressure p_(t) is :
Answer» <P>`2p_(i)((T_(1))/(T_(1)+T_(2)))` `2p_(i)((T_(2))/(T_(1)+T_(2)))` `p_(i)((T_(1)T_(2))/(T_(1)+T_(2)))` `2p_(i)((T_(1)T_(2))/(T_(1)+T_(2)))` SOLUTION :Initially number of MOLES of gas in each bulb is : `n_(1) = (P_(i)V)/(RT_(1))` and `n_(2) = (P_(i)V)/(RT_(2))` After the temperature of second bulb is raised to `T_(2)`, the number of moles of gas in both the bulbs are : `n_(1)^(') = (P_(i)V)/(RT_(1))` and `n_(2)^(') = (P_(1)V)/(RT_(2))` Number of moles of two gases in both the bulbs remain unchanged. `n_(1) + n_(2) = n_(1^(')) + n_(2^('))` `(2P_(i)V)/(RT_(1)) = (P_(f)V)/(RT_(1)) + (P_(f)V)/(RT_(2))` or `(2P_(i))/(T_(1)) = P_(f) [(T_(1) + T_(2))/(T_(1)T_(2))]` or `P_(f) = (2P_(i)T_(2))/(T_(1) + T_(2))`