Answer: 84.56L
Explanation:
Initial volume of gas V1 = 100L
Initial temperature T1 = 135°C
Convert temperature in Celsius to Kelvin
( 135°C + 273 = 408K)
Final temperature T2 = 72°C
( 72°C + 273= 345K)
Final volume V2 = ?
According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.
Mathematically, Charles' Law is expressed as: V1/T1 = V2/T2
100L/408K = V2/345K
To get the value of V2, cross multiply
100L x 345K = V2 x 408K
34500 = V2 x 408K
V2.= 34500/408
V2 = 84.56L
Thus, the volume of the gas becomes 84.56 liters