Question

Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. 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

• A. 100⁰C
• B. 182⁰C
• C. 256⁰C
• D. 546⁰C

Answer 1

Answer: (D)

546⁰C

Answer 2

Quantity of gas in these bulbs is constant i.e. Initial No. of moles in both bulb = final number of moles

$\mu_{1} + \mu_{2} = \mu_{1}^{'} + \mu_{2}^{'}$

$\frac{PV}{R(273)} + \frac{PV}{R(273)} = \frac{1.5PV}{R(273)} + \frac{1.5PV}{R(T)}$

⇒ $\frac{2}{273} = \frac{1.5}{273} + \frac{1.5}{T}$ ⇒ $T = 819K = 546{^\circ}C$