As shown in the given figure two flasks $A$ and $B$ are connected by a valve of negligible volume.\

Question

As shown in the given figure two flasks $A$ and $B$ are connected by a valve of negligible volume.\ When the valve is opened, the final temperature of the system is\

Professor PC Thomas Classes · Answer

(a) : Let the system attains final temperature $T$. $(250>T>80)$
Heat lost by one system = Heat gained by another system
$
\begin{aligned}
& n_1 C_p \Delta T_1=n_2 C_p \Delta T_2 \
& \frac{3.2}{32} C_p(300-T)=\frac{0.4}{32} C_p(T-80) \
& 0.1(250-T)=0.0125(T-80) \
& T=\frac{26}{0.1125} \approx 231 \mathrm{~K}
\end{aligned}
$