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12.Kinetic Theory of Gases
medium
Two spherical vessel of equal volume, are connected by a n arrow tube. The apparatus contains an ideal gas at one atmosphere and $300K$. Now if one vessel is immersed in a bath of constant temperature $600K$ and the other in a bath of constant temperature $300K$. Then the common pressure will be ...... $atm$
A
$1$
B
$0.8$
C
$1.33$
D
$0.75$
Solution
(c) $\mu = {\mu _1} + {\mu _2}$
$\frac{{P(2V)}}{{R\,{T_1}}} = \frac{{P'v}}{{R\,{T_1}}} + \frac{{P'V}}{{R\,{T_2}}}$==> $\frac{{2P}}{{R\,{T_1}}} = \frac{{P'}}{R}\left[ {\frac{{{T_2} + {T_1}}}{{{T_1}\;{T_2}}}} \right]$
$P' = \frac{{2P\,{T_2}}}{{({T_1} + {T_2})}} = \frac{{2 \times 1 \times 600}}{{(300 + 600)}} = \frac{4}{3}atm$
Standard 11
Physics
