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Boyle’s Law - Review P1V1 = P2V2
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Pressure can be in any units Volume can be in any units
Boyle’s Law P1V1 = P2V2 Pressure can be in any units Volume can be in any units
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Charles’ Law If temperature increases, volume increases
If temperature decreases, volume decreases This is direct variation (compared to inverse for Boyle’s law)
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Charles Law Volume can be in any units Temperature must be in Kelvin
V1 = V2 T1 T2 Volume can be in any units Temperature must be in Kelvin To convert Celsius to Kelvin, add 273 (K = C )
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Charles law For example:
The temperature inside my fridge is 4 C. If I place a balloon in my fridge that initially has a temperature of 22 C and a volume of .5 L, what will be the volume of the balloon when it is fully cooled by my refrigerator?
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Charles’ Law First convert temperatures to Kelvin 4 + 273 = 277K
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Charles’ Law Make a list of what you know V1 = T1 = V2 = T2 =
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Charles’ Law V1 = .5 L T1 = V2 = T2 =
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Charles’ Law V1 = .5 L T1 = 295K V2 = T2 =
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Charles’ Law V1 = .5 L T1 = 295K V2 = x T2 =
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Charles’ Law V1 = .5 L T1 = 295K V2 = x T2 = 277K
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Charles’ Law Put the information into the equation: V1 = V2 T1 T2
.5 = x
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Charles’ Law Cross multiply to solve for x .5(277) = x(295)
x = .47 Liters
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Charles’ Law For Example:
A man heats a balloon in the oven. If the balloon initially has a volume of 0.4 L and a temperature of 20 C, what will the volume of the balloon be after he heats it to a temperature of 250 C?
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Charles’ Law Convert temperatures to Kelvin 20 + 273 = 293 K
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Charles’ Law Make a list of what you know V1 = T1 = V2 = T2 =
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Charles’ law Make a list of what you know V1 = .4 L T1 = 293 K V2 = x
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Charles’ law Put the information into the equation: V1 = V2 T1 T2
.4 = x
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Charles’ law Cross multiply to solve for x .4(523) = x(293)
x = .71 L
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