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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