Question: A rigid vessel is divided by a partition into two equal compartments of 0 . 1 m 3 each. Initially, one compartment is evacuated and

A rigid vessel is divided by a partition into two equal compartments of

0.1 m^{3}

each. Initially, one compartment is evacuated and the other compartment contains

100

moles of a gas at

50 C .

The partition is removed and the gas is allowed to equilibrate. The process is isothermal. The gas can be described by the following equation of state:

P = \frac{R T}{V - b} + \frac{a}{T V^{2}}

where

a = 42 J K \frac{m^{3}}{m} o l^{2}

and

b = 3.2 10^{- 5} \frac{m^{3}}{m} o l .

Assume the heat capacity of the gas to be

C_{V} = (\frac{3}{2}) R .

Can this process happen?

A rigid vessel is divided by a partition into two equal

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