Since the temperature is directly proportional to volume, the new volume of the gas is 21.4 mL.
We have the following information;
Initial temperature(T1) = 273 K
Initial volume (V1) = 80.0mL
Final temperature (T2)= -200°C + 273 = 73 K
Final volume (V2) = ?
Using the relation of Charles' law;
V1/T1 = V2/T2
V1T2 = V2T1
V2 = V1T2 /T1
V2 = 80.0mL × 73 K/ 273 K
V2 = 21.4 mL
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