For a quantity of gas at a constant temperature, the pressure p is inversely proportional to the volume v. what is the limit of p as v approaches 0 from the right? explain what this means in the context of the problem.

This limit is not defined.

Explanation:

We need to remember first this law

The Boyle's law states that under a constant temperature when the pressure is inversely proportion to the volume.

So that means:

And we can put an equal if we do this:

where k is the proportional constant.

For this case we want to find the following limit:

And using properties of limits we have:

So for this case this limit tend to infinity since we are dividing a constant by a very low number positive near to 0.

So then we can conclude that:

This limit is not defined.

Interpretation: we are seeing that if the volume decrease considerable with the temperature constant by the inverse relation between P and V, the value of P increases to with no limit.

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