Step 1
Charles' law states that the volume of an ideal gas is directly proportional to the absolute temperature at constant pressure.
Mathematically:
V1/T1 = V2/T2 (1)
V = volume in L
T = temperature in K
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Step 2
Data provided:
V1 = 8.7 L
T1 = 29.0 °C + 273 = 302 K
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V2 = unknown
T2 = 133 °C + 273 = 406 K
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Step 3
V2 is cleared from (1):
V1/T1 x T2 = V2 = 8.7 L/302 K x 406 K = 11.7 L approx.
Answer: V2 = 11.7 L