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The volume of a gas at 0 degrees Celsius is 100 L. If the volume of the gas is increased to 200 L at a constant temperature, what is the new temperature of the gas in Kelvin?

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Eduard22slyidn

The new temperature of the gas in Kelvin, given the data from the question is 273 °C

Data obtained from the question

From the question given above, the following data were obtained:

  • Initial volume (V₁) = 100 L
  • Initial temperature (T₁) = 0 °C = 0 + 273 = 273 K
  • Pressure = Constant
  • New volume (V₂) = 200 L
  • New temperature (T₂) =?

How to determine the new temperature

The new temperature of the gas can be obtained by using the Charles' law equation as illustrated below:

V₁ / T₁ = V₂ / T₂

100 / 273 = 200 / T₂

Cross multiply

100 × T₂ = 273 × 200

Divide both side by 100

T₂ = (273 × 200) / 100

T₂ = 546 K

Subtract 273 to obtain answer in °C

T₂ = 546 – 273 K

T₂ = 273 °C

Thus, new temperature of the gas is 273 °C

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