A sample of nitrogen gas has a temperature of 22.7oC when the volume of the container is 12.2L and it is under 150.4kPa of pressure. What temperature, in Kelvin, would the gas need to be in order to occupy a 9.7L container at 101.3kPa? Show all your work and round your answer to the hundredths place.

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07-03-2021
Chemistry

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A sample of nitrogen gas has a temperature of 22.7oC when the volume of the container is 12.2L and it is under 150.4kPa of pressure. What temperature, in Kelvin, would the gas need to be in order to occupy a 9.7L container at 101.3kPa? Show all your work and round your answer to the hundredths place.

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Medunno13idn Medunno13idn · Answer 1 · 2022-06-19T15:32:00-04:00

Medunno13idn Medunno13idn

19-06-2022

22.7 degrees Celsius = 22.7 + 273 = 295.7 K

[tex]\frac{(12.2)(150.4)}{295.7}=\frac{(9.7)(101.3)}{T_{2}} \\ \\ \frac{295.7}{(12.2)(150.4)}=\frac{T_{2}}{(9.7)(101.3)} \\ \\ T_{2}=\frac{(295.7)(9.7)(101.3)}{(12.2)(150.4)} \approx \boxed{158.35 \text{ K}}[/tex]

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