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# Boyle's Law mathematical relationship?

According to Boyle's Law what is then mathematical relationship between the temperature and the volume of a gas if its mass and temperature are kept constant?

How can you answer this question without simply just stating the law? Please provide an explanation.

### 2 Answers

- ReginaldLv 79 years agoFavorite Answer
I believe Boyle's law relates the pressure P (not temperature) and volume V

of a gas if its temperature and amount, or mass, are constant.

It is an inverse proportion; that is, their product is constant.

So we can say PV = k, where k is a constant.

The actual value of k depends on the amount of gas and the temperature,

but if those are constant, then k stays constant for Boyle's law.

So if PV = k, we can find either P or V if the other is known and k is known.

So P = k/V and V = k/P

Hope you understand this explanation.

Source(s): high school chemistry - stchurLv 44 years ago
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