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Two closed identical conducting containers are found in the laboratory of an old scientist. For the verification of the gas some experiments are performed on the two boxes and the results
\( \mathrm{P} \) are noted.

W
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 :
Total number of molecules in ' \( \mathrm{A} \) ' (here \( \mathrm{N}_{\mathrm{A}}= \) Avagadro number)
(a) \( \frac{125}{64} N_{A} \)
(b) \( 3.125 \mathrm{~N}_{\mathrm{A}} \)
(c) \( \frac{125}{28} N_{A} \)
(d) \( 31.25 \mathrm{~N}_{\mathrm{A}} \)
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