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  • Two closed bulbs of equal volume (v) containing an Ideal Goo initially at a pressure Pi and Temperature <img alt="\mathrm{T_{A}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BT_

Two closed bulbs of equal volume (v) containing an Ideal Goo initially at a pressure Pi and Temperature \mathrm{T_{A}}
are connected through narrow tube ot negligible volume as shown in figure.

The Temperature of one the bulbs is then prised to T_B.
The final pressure P_f is
 

Option: 1

\mathrm{\frac{2 P_{i}(T A-T B)}{T B(T A+T B)}}


Option: 2

\mathrm{\frac{2 P i}{T A} \frac{(T A-T B)}{(T A+T B)}}


Option: 3

\mathrm{\frac{2 P_{i}}{T B} \frac{(T A+T B)}{(T A-T B)}}


Option: 4

\mathrm{\frac{P_{i}}{2 T B}\frac{(T A+T B)}{(T A-T B)}}


Answers (1)

best_answer

\Rightarrow  Initial and final moles are equal

\mathrm{\Rightarrow \quad(n T) i=(n T) f}
\mathrm{\Rightarrow \frac{P V V}{R T A}+\frac{P i V}{R T A}=\frac{P f V}{R T A}+\frac{P f V}{RT B}}

\mathrm{\Rightarrow \frac{2 P_{i}}{T A}=\frac{P f}{T A}+\frac{P f}{T B}}
      \mathrm{\frac{2 P_{i}}{T A}=\frac{P f\left(T_{B}+T_{A}\right)}{T A \cdot T B}}
\mathrm{ P f=\frac{2 P_{i}(T A \cdot T B)}{T A(T B+T A)}}

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