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According to Charles' law, what is the relationship between the temperature (on the Kelvin scale) and the volume of a fixed mass of gas at constant pressure? - Leaving Cert Chemistry - Question e - 2017

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According to Charles' law, what is the relationship between the temperature (on the Kelvin scale) and the volume of a fixed mass of gas at constant pressure?

Worked Solution & Example Answer:According to Charles' law, what is the relationship between the temperature (on the Kelvin scale) and the volume of a fixed mass of gas at constant pressure? - Leaving Cert Chemistry - Question e - 2017

Step 1

Relationship between Temperature and Volume

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Answer

Charles' law states that the volume of a fixed mass of gas is directly proportional to its absolute temperature (measured in Kelvin) when the pressure is held constant. This can be mathematically expressed as:

rac{V}{T} = k

where:

  • VV is the volume of the gas,
  • TT is the absolute temperature in Kelvin,
  • kk is a proportionality constant.

This means that as the temperature increases, the volume of the gas also increases, provided the pressure remains constant. The relationship can be represented graphically as a straight line through the origin, indicating a direct proportional relationship between the two variables.

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