# On a PV diagram, suppose we place volume on the #y# axis; is the slope negative or positive?

Negative... and nonconstant.

Well, you can start from Boyle's law:

at constant temperature and mols of gas. Hence,

The slope would be given by:

The slope is negative, which makes sense. If pressure increases at constant temperature and mols of gas, the volume should compress.

Clearly, it means the slope decreases over time and is negative.

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The slope of the PV diagram would be negative if volume is placed on the y-axis.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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