Question

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

• A. 1 atm
• B.
• C.
• D.

Answer 1

The correct option is C

$\mu$ = ${\mu }_1$ + ${\mu }_2$
$\frac{P\left(2V\right)}{R{T}_1}$ = $\frac{P^{{}^{\prime }}V}{R{T}_1}+\frac{P^{{}^{\prime }}V}{R{T}_2}$ $\Rightarrow$ $\frac{2P}{R{T}_1}$ = $\frac{P^{{}^{\prime }}}{R}$[$\frac{T_2+T_1}{T_1{T}_2}$]
$P^{{}^{\prime }}$ = $\frac{2P{T}_2}{(T_1+T_2)}$ = $\frac{2\times 1\times 600}{(300+600)}$ = $\frac{4}{3}$atm