Answer:
The answer to your question is T2 = 88.75 °K
Step-by-step explanation:
Data
Volume 1 = V1 = 8.97
Temperature 1 = T1 = 27.4°C
Volume 2 = V2 = 2.65
Temperature 2 = T2 = ?
Process
To solve this problem use Charles' law.
V1/T1 = V2/T2
-Solve for T2
T2 = V2T1 / V1
-Convert temperature to °K
Temperature 1 = 27.4 + 273 = 300.4°K
-Substitution
T2 = (2.65 x 300.4) / 8.97
-Simplification
T2 = 796.06 / 8.97
-Result
T2 = 88.75 °K