ThermodynamicsHard
Question
Tw identical containers A and B with frictionless pistons contains the same ideal gas at the same temperature and the same volume V. 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 ᐃp and 1.5 ᐃp respectively. Then
Options
A.4mA = 9mB
B.2mA = 3mB
C.3mA = 2mB
D.9mA = 4mB
Solution
Process is isothermal. Therefore, T = constant. 
volume is increasing,therefore, pressure will decrease.
In chamber A →
- ᐃP = (PA)i - (PA)f =
.....(i)
In chamber B →
-1.5ᐃp = (PB)i - (PB)f =
.....(ii)
From eqs (i) and (ii)
or
or 
or 3mA = 2mB
volume is increasing,therefore, pressure will decrease. In chamber A →
- ᐃP = (PA)i - (PA)f =
.....(i)In chamber B →
-1.5ᐃp = (PB)i - (PB)f =
.....(ii)From eqs (i) and (ii)
or
or or 3mA = 2mB
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