Given:
[tex]V_{1} = \text{4.00 L}[/tex]
[tex]T_{1} = \text{0°C + 273 = 273 K}[/tex]
[tex]V_{2} = \text{2.50 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{273 K} × \frac{\text{2.50 L}}{\text{4.00 L}}[/tex]
[tex]T_{2} = \text{170.6 K}[/tex]
[tex]T_{2} = \text{170.6 K} - 273[/tex]
[tex]\boxed{T_{2} = -\text{102.4°C}}[/tex]
[tex]\\[/tex]
#CarryOnLearning
