Answer: 2.5°C
Step-by-step explanation:
Initial volume V1 = 5.38 liters
Initial temperature T1 = 36.0°C
Convert temperature in Celsius to Kelvin
(32°C + 273= 305K)
Final temperature T2 = ?
Final volume V2 = 4.68 liters
According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.
Thus, Charles' Law is expressed as: V1/T1 = V2/T2
5.38/305 = 4.86/T2
To get the value of T2, cross multiply
5.38 x T2 = 4.86 x 305
5.38T2 = 1482.3
Divide both sides by 5.38
5.38T2/5.38 = 1482.3/5.38
T2 = 275.5K
Convert 275.5K to Celsius
(275.5K - 273K = 2.5°C)
Thus, the final temperature is 2.5°C