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According to Boyle's law, what is the relationship between the volume of a certain mass of gas and its pressure at a constant temperature? ![Figure](Image reference of the apparatus) - Leaving Cert Chemistry - Question 1 - 2016

Question 1

According to Boyle's law, what is the relationship between the volume of a certain mass of gas and its pressure at a constant temperature? ![Figure](Image reference... show full transcript

Worked Solution & Example Answer:According to Boyle's law, what is the relationship between the volume of a certain mass of gas and its pressure at a constant temperature? ![Figure](Image reference of the apparatus) - Leaving Cert Chemistry - Question 1 - 2016

Step 1

Relationship between Volume and Pressure

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Answer

Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas is inversely proportional to its pressure. This can be mathematically expressed as:

$P imes V = ext{constant}$

This means that as the pressure ( $P$ ) of a gas increases, the volume ( $V$ ) decreases, and vice versa, while the product of the pressure and volume remains constant.

Step 2

Mathematical Representation

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Answer

In terms of two different states of the gas, this can be represented as:

$P_1 V_1 = P_2 V_2$

Here, $P_1$ and $V_1$ are the initial pressure and volume, while $P_2$ and $V_2$ refer to the pressure and volume after a change, demonstrating the inverse relationship.

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