Container
A contains an ideal gas at a pressure of
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Solution: Click For PDF Version
Let the
initial amounts of ideal gas in the container A
be
The total amount of gas in containers A and B is therefore
The
connecting valve is opened and equilibrium is achieved by marinating
the temperatures of A
and B. Let the common
pressure in the containers be P when equilibrium has been reached.
Let the amount of gas in the container A at equilibrium be
Therefore,
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and a temperature of 300 K. It is connected by a thin tube to
container B with four times the volume of A. B contains the same
ideal gas at a pressure of
and
at a temperature of 400 K. The connecting valve is opened, and
equilibrium is achieved at a common pressure while the temperature of
each container is kept constant at its initial value. We have to find
the final pressure in the system.
and that in the container B
be
,
respectively. Let the volume of the container A
be V. Temperature
of the gas in A is
300 K and the pressure of the gas in A
when it is isolated from B
is given to be
.
.
The amount of gas in the container B at equilibrium will be
.
We have the following equations describing this situation:
