The answer is the volume of the balloon when it is fully cooled by the refrigerator is 0.47 L
What is Charles Law ?
If the pressure remains constant , Volume is directly proportional to temperature
[tex]\dfrac{V^{1} }{T^{1} } = \dfrac{V }{T }[/tex]
The data given in the question ,
When Solving Gas Law Problems , we need to convert degree Celsius to Kelvin.
kelvin = degree Celsius + 273.15
T2 (final temperature) in Kelvin = 4 + 273.15 = 277.15K
T1 (initial temperature) in Kelvin = 22 + 273.15 = 295.15 K
V1 (initital volume) = 0.5 L
V2 (final volume) = unknown ?
[tex]\dfrac{V^{1} }{277.15 } = \dfrac{0.5 }{295.15}\\\\V^{1} \;\;\; \;\;\;= \dfrac{0.5\times 277.15}{295.1 5} \\\\V^{1} \;\;\; \;\;\;= \;0.47\; litres[/tex]
Thus , the volume of the balloon when it is fully cooled by the refrigerator is 0.47 litres.
To know more about Charles Law
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