Chemistry Practice Problems Chemistry Gas Laws Practice Problems Solution: Expansion of a gas into an evacuated space is a sp...

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Solution: Expansion of a gas into an evacuated space is a spontaneous process. The reverse process-gas molecules initially distributed evenly in two flasks all moving into one flask-is not spontaneous.If flask B were smaller than flask A, would the final pressure after the stopcock is opened be greater than, equal to, or less than 0.5 atm?

Problem

A diagram shows two flasks, connected by a closed stopcock.  Flask A on the left has gas at 1 atmosphere, while flask B on the right is an evacuated flask at 0 atmospheres. When the stopcock opens, the gas expands to occupy both flasks.  Both flasks A and B now have 0.5 atmospheres of pressure; this process is spontaneous. A third diagram shows the stopcock still open, but all gas molecules have moved back into flask A. This process is not spontaneous.
Expansion of a gas into an evacuated space is a spontaneous process. The reverse process-gas molecules initially distributed evenly in two flasks all moving into one flask-is not spontaneous.

If flask B were smaller than flask A, would the final pressure after the stopcock is opened be greater than, equal to, or less than 0.5 atm?

Solution

We are given the following figure:

A diagram shows two flasks, connected by a closed stopcock.  Flask A on the left has gas at 1 atmosphere, while flask B on the right is an evacuated flask at 0 atmospheres. When the stopcock opens, the gas expands to occupy both flasks.  Both flasks A and B now have 0.5 atmospheres of pressure; this process is spontaneous. A third diagram shows the stopcock still open, but all gas molecules have moved back into flask A. This process is not spontaneous.


We are asked if flask B were smaller than flask A, would the final pressure after the stopcock is opened be greater than, equal to, or less than 0.5 atm.

Recall that the ideal gas law is:


PV=nRT


The pressure and volume of a gas are related to the number of moles, gas constant and temperatureThe value nRT is constant


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