Chemistry, asked by Ali56789, 1 month ago

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Answered by Steph0303
3

Answer:

Charles Law states that, the volume occupied by a gas is directly proportional to the temperature in absolute value, provided the change in pressure is zero. (Absolute temperature is temperature is taken in Kelvin.)

In terms of mathematical equation, it is given as:

\implies V \:\:\alpha \:\: T \\\\\implies \dfrac{V}{T} = constant

According to the above question, it is given that:

  • At 25° C, the volume is 117.5 cm³.
  • At 30° C, the volume is 119.4 cm³

Applying Charles Law to these two set of values we get:

\implies \dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\\\\\\\implies \dfrac{117.5}{25+273} = \dfrac{119.4}{30+273}\\\\\\\implies 0.394 = 0.394 = \text{constant}

Similarly, the other two set of values are:

  • At 35° C, the volume is 121.3 cm³
  • At 40°C, the volume is 123.2 cm³

Applying Charles Law, we get:

\implies \dfrac{V_3}{T_3} = \dfrac{V_4}{T_4}\\\\\\\implies \dfrac{121.3}{35+273} = \dfrac{123.2}{40+273}\\\\\\\implies 0.393 = 0.393 = \text{constant}

Hence by the above calculations, we can prove the volume temperature relationship using Charles Law.

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