Same ideal gas is kept in two containers A and B fitted with frictionless pistons. Volume and temperature of the gas in both containers are the same. m_A and m_B are the masses of the gas in A and B respectively.Volume of the gases in the two containers are changed to 2V keeping their temperature constant. Corresponding changes in pressure in A and B are Deltap and 1.5Deltap. Find the ratio of the masses of the gas kept in A and in B.

Same ideal gas is kept in two containers A and B fitted with frictionl

1.	Same ideal gas is kept in two containers A and B fitted with frictionless pistons. Volume and temperature of the gas in both containers are the same. m_A and m_B are the masses of the gas in A and B respectively.Volume of the gases in the two containers are changed to 2V keeping their temperature constant. Corresponding changes in pressure in A and B are Deltap and 1.5Deltap. Find the ratio of the masses of the gas kept in A and in B.
Answer» Solution :Volume of the gases in both the CONTAINERS become double. So,according to Boyle.s law CORRESPONDING pressures of the gases become HALF of their initial pressure. `therefore` Initail pressure in A and B are `p_A=2 Deltap` and `2 times 1.5 Deltap=3 Deltap` `thereforep_A/p_B=2/3or,(n_A(RT)/V)/(n_B(RT)/V)=2/3` or,`(m_A(RT)/(MV))/(m_B(RT)/(MV))=2/3or,m_A/m_B=2/3.`