\( \mathrm{P} \) Two closed identical conducting containers are found in the W some experiments ...

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\( \mathrm{P} \)
Two closed identical conducting containers are found in the
W some experiments are performed on the two boxes and the results are noted.
Experiment 1.
When the two containers are weighed \( \mathrm{W}_{\mathrm{A}}=225 \mathrm{~g} \),
\( \mathrm{W}_{\mathrm{B}}=160 \mathrm{~g} \) and mass of evacuated container \( \mathrm{W}_{\mathrm{C}}=100 \mathrm{~g} \).
Experiment 2.
When the two containers are given same amount of heat
same temperature rise is recorded. The pressure changes
found are
\( \Delta \mathrm{P}_{\mathrm{A}}=2.5 \mathrm{~atm} . \Delta \mathrm{P}_{\mathrm{B}}=1.5 \mathrm{~atm} \).
Required data for unknown gas :
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline \( \begin{array}{c}\text { Mono } \\
\text { (rmoiar mass) }\end{array} \) & \( \begin{array}{c}\mathrm{He} \\
4 \mathrm{~g}\end{array} \) & \( \begin{array}{c}\mathrm{Ne} \\
20 \mathrm{~g}\end{array} \) & \( \begin{array}{c}\mathrm{Ar} \\
40 \mathrm{~g}\end{array} \) & \( \begin{array}{c}\mathrm{Kr} \\
84 \mathrm{~g}\end{array} \) & \( \begin{array}{c}\mathrm{Xe}_{\mathrm{e}} \\
131 \mathrm{~g}\end{array} \) & \( \begin{array}{c}\mathrm{Rd} \\
222 \mathrm{~g}\end{array} \) \\
\hline Dia & \( \mathrm{H}_{2} \) & \( \mathrm{~F}_{i} \) & \( \mathrm{~N}_{2} \) & \( \mathrm{O}_{2} \) & \( \mathrm{Cl}_{z} \) & \\
(rmoire mass) & \( 2 \mathrm{~g} \) & \( 19 \mathrm{~g} \) & \( 28 \mathrm{~g} \) & \( 32 \mathrm{~g} \) & \( 71 \mathrm{~g} \) & \\
\hline
\end{tabular}
The initial internal energy of the gas in container A, If the container were at room temperature \( 300 \mathrm{~K} \) initially
(a) \( 1406.25 \mathrm{cal} \)
(b) \( 1000 \mathrm{cal} \)
(c) \( 2812.5 \mathrm{cal} \)
(d) none of these
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