Answer:
\[PV=\frac{w}{M}RT\]
Case I: When
gas A is filled in the tube:
\[2\times V\frac{1}{{{M}_{A}}}\times RT\,\,\,\,\,\,\,\,\,.....(i)\]
Case II:
When gas A and B both are filled in the tube:
\[3\times
V=\left( \frac{1}{{{M}_{A}}}+\frac{2}{{{M}_{B}}} \right)\times
RT\,\,\,\,\,\,\,\,\,\,\,.....(ii)\]
Dividing Eqn. (ii)
by (i) we get:
\[{{M}_{B}}=4{{M}_{A}}\]
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