Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The mass of the gas in A is \[{{m}_{A}}\] and that in B is \[{{m}_{B}}\]. The gas in each cylinder is now allowed to expand isothermally to the same final volume 2V. The changes in the pressure in A and B are found to be \[\Delta P\] and 1.5 \[\Delta P\] respectively. Then [IIT 1998]

Two identical containers A and B with frictionless pistons contain the

1.	Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The mass of the gas in A is \[{{m}_{A}}\] and that in B is \[{{m}_{B}}\]. The gas in each cylinder is now allowed to expand isothermally to the same final volume 2V. The changes in the pressure in A and B are found to be \[\Delta P\] and 1.5 \[\Delta P\] respectively. Then [IIT 1998]
A.	\[4{{m}_{A}}=9{{m}_{B}}\]
B.	\[2{{m}_{A}}=3{{m}_{B}}\]
C.	\[3{{m}_{A}}=2{{m}_{B}}\]
D.	\[9{{m}_{A}}=3{{m}_{B}}\]
Answer» D. \[9{{m}_{A}}=3{{m}_{B}}\]