Question

Derive the relationship between V1 and V2, the volumes of a gas at two pressures, P1 and P2

Answer 1

Answer:

P₁V₁ = P₂V₂.

Explanation:

• Boyle’s Law : At constant temperature, the  volume of a given quantity of a gas  varies inversely with its pressure.

• It is clear from the data that V ∝ 1/P.

• Also, PV = constant.

So, for two different values of both P and V:

∴ P₁V₁ = P₂V₂.

Answer 2

P is the pressure of the gas and V is the volume of the gas given by the ideal gas equation. The relationship can be given by Boyle’s Law.

What is Boyle’s Law?

It is an experimental gas law that states the relationship between the pressure and the volume of the gas. According to the law, the pressure and the volume of the gas are inverse relations with each other.

The Boyle’s Law can be shown as:

$\rm V \alpha \dfrac{1}P}$

So, when there are two volumes and two pressure and PV are constant then,

$\rm P_{1}V_{1} = P_{2} V_{2}$

Therefore, the relationship between $\rm V_{1}$ and $\rm V_{2}$, the volumes of gas at two pressures, $\rm P_{1}$ and $\rm P_{2}$ is given as, $\rm P_{1}V_{1} = P_{2} V_{2}.$

Learn more about Boyle's law here:

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