Charle's Law
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- In 1787 Jacques Charles, a French physicistinvestigated the effect of change of temperature on the volume of a fixed amount of gas atconstant pressure. Charles law is an experimental gas law that describes how gases tend toexpand when heated. The law states that the volume of a given quantity of gas is directlyproportional to the kelvin temperature, at constant pressure. The Law simply means that asthe temperature increases the, the volume also increases. Any change in kelvin temperaturewould likewise change the volume of the gas.
- Charles Law states that the volume of a given mass of a gas is directly proportional to its Kevin temperature at constant pressure. In mathematical terms, the relationship between temperature and volume is expressed as V1/T1=V2/T2.
- What is the mathematical expression of Charles law ?
- How do you convert C to K?
- Kelvin = Celsius + 273.15.
- 1.) Convert C to KT1=25.0 C + 273.15 =298.15 K, V1 = 1.75LT2= 50.0 C + 273.15 = 323.15 K T1=298.15 K T2 = 323.15 K V2= ?
- Answer this sample problem. Kr gas occupies a volume of 1.75 L at 25.0 C. Determine the volume of the gas if the temperature is increased to 50.0 C. How do you solve the problem?
- 2.) Since V2 is missing, use the formulaV1/T1=V2/T2V2= V1/T2/T1.
- 4.) Thus, V2= (1.75 L) (323.15K) / 298.15kThe answer is:V2= 1.90 L.
- Good job!
- 5.) To make sure that your answer is correct try to divide V1 by T1 and V2 by T2to obtain the same quotient.V1 = 1.75 L = 0.0058 V2 = 1.90 L = 0.0058T1 298.15 k T2 323.15 K
- Good job! Class! fun fact:The kinetic molecular theory states that gas molecules move faster at higher temperatures.The increase in kinetic energy leads to the expansion of flexible containers of gases such asballoons or cylinders.
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