Two identical glass bulbs are interconnected by a thin glass tube at 0^o C . A gas is filled in thes

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12.Kinetic Theory of Gases

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Two identical glass bulbs are interconnected by a thin glass tube at $0^o\ C$. A gas is filled in these 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 ...... $^oC$

A

$100$

B

$182$

C

$256$

D

$546$

Solution

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

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

$\frac{P V}{R(273)}+\frac{P V}{R(273)}$

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

$\Rightarrow \frac{2}{273}=\frac{1.5}{273}+\frac{1.5}{T}$

$\Rightarrow T=819 K=546^{\circ} \mathrm{C}$

Standard 11

Physics

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