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**Combined Gas Law Avogadro’s Principle**

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**2-Variable Gas Laws Boyle’s Law: Charles’s Law: Gay-Lussac’s Law:**

P1V1 = P2V2 Charles’s Law: 𝑉1 𝑇1 = 𝑉2 𝑇2 Gay-Lussac’s Law: 𝑃1 𝑇1 = 𝑃2 𝑇2

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**Combined Gas Law P1V1 T1 = P2V2 T2**

Combine the relationships of the 3 gas laws to relate Pressure, Temperature, and Volume for a fixed amount of gas P1V1 T1 = P2V2 T2

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**Combined Gas Law Example**

A gas at 110 kPa and 30.0°C fills a flexible container with an initial volume of 2.0 L. If the temperature is raised to 80.0°C and the pressure increased to 440 kPa, what is the new volume?

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**Avogadro’s Principle V1 n1 = V2 n2**

Equal volumes of gases at the same temperature and pressure contain equal numbers of particles. V1 n1 = V2 n2 1 mole of any gas occupies a volume of 22.4 L at STP.

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**Avogadro’s Principle Example**

Calculate the volume that moles of any gas at STP will occupy.

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