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. 100°C
• B. 182°C
• C. 256°C
• D. 546°C

Answer 1

The correct option is D

546°C

The number of moles of the gas remains constant

$n_1+n_2=\frac{P(V_1+V_2)}{RT}=\frac{1\times 2V}{R\times 273}\text{After placing them in the bath.}{n}_1+n_2=\frac{1.5V}{R\times 273}+\frac{1.5V}{RT}Hence,\frac{1\times 2V}{R\times 273}=\frac{1.5V}{R\times 273}+\frac{1.5V}{RT}\Rightarrow T=8191K={546}^{\circ }C$