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A 1.0-L sample of argon gas (Ar) at 20.0°C was cooled until occupies a volume of 0.30L. What is the new temperature of the gas (in °C) assuming that the cooling process was done at constant pressure?

P. S. A solution would wonderful :D​


Sagot :

Given:

[tex]V_{1} = \text{1.0 L}[/tex]

[tex]T_{1} = \text{20.0°C + 273.15 = 293.15 K}[/tex]

[tex]V_{2} = \text{0.30 L}[/tex]

Unknown:

[tex]T_{2}[/tex]

Solution:

[tex]\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}[/tex]

[tex]T_{2} = T_{1} × \frac{V_{2}}{V_{1}}[/tex]

[tex]T_{2} = \text{293.15 K} × \frac{\text{0.30 L}}{\text{1.0 L}}[/tex]

[tex]T_{2} = \text{87.945 K} [/tex]

[tex]T_{2} = \text{87.945 K} - 273.15[/tex]

[tex]\boxed{T_{2} = -\text{185.2°C}}[/tex]

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