0.1 mole of an ideal gas has volume
in a locked box with a frictionless piston. The gas is in thermal equilibrium with an excess of
aqueous ethylene glycol at its freezing point. If the piston is released all of a sudden at
, then determine the final volume of gas in

Text Solution
Verified by Experts2.18
(2.18)

Molality, '
' 


So, the initial temperature now becomes
. Further using the given value of moles and initial volume of the gas and the calculated initial temperature value, we can find out the initial pressure of the ideal gas contained inside the piston.

Now, on releasing the piston against an external pressure of
, the gas will expand until the final pressure of the gas, i.e.
becomes equal to
. During this expansion, since no reaction is happening and the temperature of the gas is not changing as well, the boyle's law relation can be applied.


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