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Gas Laws

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**Animations of Basic Gas Laws**

(animation with audio)

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Boyle’s Law V 1/P (T = constant ) Pressure Volume = Constant P1V1 = P2V2

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Boyles Law

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Charles’s Law The volume of a gas is directly proportional to temperature, and extrapolates to zero at zero Kelvin.

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Charles Law

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**b = proportionality constant T is always in Kelvin!!!**

Charles’s Law V T (P = constant ) V = bT (P = constant) b = proportionality constant T is always in Kelvin!!!

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Charles’s Law P = constant

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Avogadro’s Law For a gas at constant temperature and pressure, the volume is directly proportional to the number of moles of gas.

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**a = proportionality constant V = volume of the gas **

Avogadro’s Law V n (P and T = constant ) V = an a = proportionality constant V = volume of the gas n = number of moles of gas

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**Ideal Gas Law An equation of state for a gas.**

“state” is the condition of the gas at a given time. PV = nRT

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**Ideal Gas Law PV = nRT R = proportionality constant**

= L atm mol P = pressure in atm V = volume in liters n = moles T = temperature in Kelvins

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PV = nRT Variables on the same side of the equation are inversely proportional Variables on opposite sides of the equation are directly proportional

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**Standard Temperature and Pressure**

“STP” P = 1 atmosphere T = C = 273K The molar volume of an ideal gas is liters at STP

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A balloon inflated in an air- conditioned room at 27oC, has a volume of 4 L. It is heated to a temperature of 57oC. What is the new volume of the balloon if the pressure remains constant

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**The gas left in an used aerosol can is at a pressure of 1 atm at 27oC**

The gas left in an used aerosol can is at a pressure of 1 atm at 27oC. If this can is thrown unto a fire, what is the internal pressure of the gas when its temperature reaches 927oC

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A container with an initial volume of 1 L is occupied by a gas at a pressure of 1.5 atm at 25oC. By changing the volume, the pressure of the gas increases to 6 atm as the temperature is raised to 100oC. What is the new volume?

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**A gas occupies a volume of 180 mL at 35. 0oC and 740 mm Hg**

A gas occupies a volume of 180 mL at 35.0oC and 740 mm Hg. What is the volume of the gas at conditions of STP?

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Ideal vs. Real Gases No gas is ideal. As the temperature of a gas increases and the pressure on the gas decreases the gas acts more ideally.

Ideal vs. Real Gases No gas is ideal. As the temperature of a gas increases and the pressure on the gas decreases the gas acts more ideally.

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