Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at NTP. IF one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be :
Answer & explanation
Correct answer: option 4
Quantity of gas in these bulbs is constant i.e. initial number of moles in both bulbs = final number of moles
(n1 + n2)initial = (n1 + n2)final
\(\frac{PV}{R(273)} + \frac{PV}{R(273)} = \frac{1.5 PV}{R(273)} + \frac{1.5 PV}{R(T)}\)
\(\Rightarrow \frac{2}{273} = \frac{1.5}{273} + \frac{1.5}{T}\)
\(\Rightarrow T = 819 K = 546^o C\)